Main
~~Attach:hs71.gif~~

The APMonitor package is also available through the package manager '''pip''' in Python.

python pip install APMonitor
~~!! APM Python~~

Attach:apm_python.png APM Python is designed for large-scale optimization and accesses solvers of constrained, unconstrained, continuous, and discrete problems. Problems in linear programming, quadratic programming, integer programming, nonlinear optimization, systems of dynamic nonlinear equations, and multiobjective optimization can be solved. The platform can find optimal solutions, perform tradeoff analyses, balance multiple design alternatives, and incorporate optimization methods into external modeling and analysis software. It is free for academic and commercial use.

~~Hock-Schittkowsky Test Suite #71~~

* [[Main/PythonFunctions | APM Python Source Code Documentation]]

(:html:)

<iframe width="560" height="315" src="http://www.youtube.com/embed/t84YMw8p34w?rel=0" frameborder="0" allowfullscreen></iframe>

(:htmlend:)

Example applications of the APM Python library include nonlinear programming, nonlinear control, and other applications below.
~~Attach:download.jpg [[Attach:apm_python_v0.5.4.zip | APM Python - v.0.5.4 - 15 Sept 2011]]~~

Previous versions of the APM Python libraries are available below. In general, it is best to use the most current version as it supports the most advanced server features.

Attach:download.jpg [[Attach:apm_python_v0.5.4.zip | APM Python - v.0.5.4 - 15 Sept 2011]]

----

!!! Nonlinear Estimation and Control with Python

In this case study, a gravity drained tank was operated to generate data. A dynamic model of the process was derived from a material balance. This material balance is displayed below, along with a diagram of the system.

Attach:python_tank.png

The the unknown parameters ''c1'' and ''c2'' need to be determined. The parameter ''c1'' is the flow into the tank when the valve is fully open. The parameter ''c2'' is the relationship between the volume of water in the tank and the outlet flow. Notice that this model is nonlinear because the outlet flow depends on the square root of the liquid volume. Nonlinear estimation is a technique to determine parameters based on the measurements. The following Python script uses the process data and the nonlinear model to determine the optimal parameters ''c1'' and ''c2''.

Attach:download.jpg [[Attach:python_tank_mhe.zip | Download APM Python Package for Nonlinear Estimation of a Gravity Drained Tank]]

Attach:python_tank_mhe.png

After an accurate model of the process is obtained, the model can be used in a Nonlinear Control (NLC) application. A PID controller is compared to the NLC response in the following script.

Attach:download.jpg [[Attach:python_tank_nlc.zip | Download APM Python Package for Nonlinear Control of a Gravity Drained Tank]]

Attach:python_tank_nlc.png

## Python Optimization Package

## Main.PythonApp History

Hide minor edits - Show changes to output

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{$ ~~s.t.~~ x_1 x_2 x_3 x_4 \ge 25$}

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{$ \mathrm{subject\;to} \quad x_1 x_2 x_3 x_4 \ge 25$}

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{$ s.t. x_1 x_2 x_3 x_4 ~~/~~ge 25$}

{$ ~~ ~~x_~~1~~^2 + x_2~~^2 + x_3^2 +~~ x_~~4^2 = 40~~$}

{$~~ 1 \le x_1, x_2, x_3, x_4 \le 5$}~~

{$ x_0 = (1,5,5,1)$}

{$

{$

{$

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{$ s.t. x_1 x_2 x_3 x_4 \ge 25$}

{$\quad x_1^2 + x_2^2 + x_3^2 + x_4^2 = 40$}

{$\quad 1 \le x_1, x_2, x_3, x_4 \le 5$}

{$\quad x_0 = (1,5,5,1)$}

{$\quad x_1^2 + x_2^2 + x_3^2 + x_4^2 = 40$}

{$\quad 1 \le x_1, x_2, x_3, x_4 \le 5$}

{$\quad x_0 = (1,5,5,1)$}

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{$ \min ~~\,~~ x_1 x_4 (x_1 + x_2 + x_3) + x_3 $}

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{$ \min x_1 x_4 (x_1 + x_2 + x_3) + x_3 $}

{$ s.t. x_1 x_2 x_3 x_4 /ge 25$}

{$ x_1^2 + x_2^2 + x_3^2 + x_4^2 = 40$}

{$ 1 \le x_1, x_2, x_3, x_4 \le 5$}

{$ x_0 = (1,5,5,1)$}

{$ s.t. x_1 x_2 x_3 x_4 /ge 25$}

{$ x_1^2 + x_2^2 + x_3^2 + x_4^2 = 40$}

{$ 1 \le x_1, x_2, x_3, x_4 \le 5$}

{$ x_0 = (1,5,5,1)$}

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{$ ~~/~~min ~~/~~, x_1 x_4 ~~\left~~(x_1 + x_2 + x_3~~ \right~~) + x_3 $}

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{$ \min \, x_1 x_4 (x_1 + x_2 + x_3) + x_3 $}

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{$ /min /, x_1 x_4 \left(x_1 + x_2 + x_3 \right) + x_3 $}

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The APMonitor package is also available through the package manager '''pip''' in Python.

python pip install APMonitor

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Attach:download.jpg [[Attach:apm_python_v0.7.~~3~~.zip | Download APM Python (version 0.7.~~3~~)]] - Released ~~18 Jun~~ 2016

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Attach:download.jpg [[Attach:apm_python_v0.7.4.zip | Download APM Python (version 0.7.4)]] - Released 5 Aug 2016

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Attach:download.jpg [[Attach:apm_python_v0.7.~~2~~.zip | Download APM Python (version 0.7.~~2~~)]] - Released ~~19 Feb~~ 2016

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Attach:download.jpg [[Attach:apm_python_v0.7.3.zip | Download APM Python (version 0.7.3)]] - Released 18 Jun 2016

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The latest APM Python libraries are attached below. Functionality has been tested with ~~[[http://www~~.~~python~~.~~org/getit/releases/2~~.~~7/ | Python 2.7]]. Example applications that use the apm.py library are listed further down on this ~~page.

Attach:download.jpg [[Attach:apm_python_v0.7.~~1~~.zip | Download APM Python (version 0.7.~~1~~)]] - Released ~~29 Apr 2015~~

Attach:download.jpg [[Attach:apm_python_v0.7.

to:

The latest APM Python libraries are attached below. Functionality has been tested with Python 2.7 and 3.5. Example applications that use the apm.py library are listed further down on this page.

Attach:download.jpg [[Attach:apm_python_v0.7.2.zip | Download APM Python (version 0.7.2)]] - Released 19 Feb 2016

Attach:download.jpg [[Attach:apm_python_v0.7.2.zip | Download APM Python (version 0.7.2)]] - Released 19 Feb 2016

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Attach:apm_python.png APM Python is designed for large-scale optimization and accesses solvers of constrained, unconstrained, continuous, and discrete problems. Problems in linear programming, quadratic programming, integer programming, nonlinear optimization, systems of dynamic nonlinear equations, and multiobjective optimization can be solved. The platform can find optimal solutions, perform tradeoff analyses, balance multiple design alternatives, and incorporate optimization methods into external modeling and analysis software. It is free for academic and commercial use.

to:

Attach:apm_python.png APM Python is designed for large-scale optimization and accesses solvers of constrained, unconstrained, continuous, and discrete problems. Problems in linear programming, quadratic programming, integer programming, nonlinear optimization, systems of dynamic nonlinear equations, and multiobjective optimization can be solved. The platform can find optimal solutions, perform tradeoff analyses, balance multiple design alternatives, and incorporate optimization methods into external modeling and analysis software. It is free for academic and commercial use. Example applications of nonlinear models with differential and algebraic equations are available for download below or from the following GitHub repository.

Attach:download.jpg [[https://github.com/APMonitor?tab=repositories | APM Python with Demo Applications on GitHub]]

Attach:download.jpg [[https://github.com/APMonitor?tab=repositories | APM Python with Demo Applications on GitHub]]

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* %list list-blogroll% [[https://github.com/jckantor/CBE40455/blob/master/notebooks/Getting%20Started%20with%20APMonitor.ipynb | APM IPython Notebook Example on GitHub]]

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(:title ~~Nonlinear~~ Optimization ~~with Python~~:)

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(:title Python Optimization Package:)

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Attach:download.jpg [[Attach:apm_python_v0.7.~~0~~.zip | Download APM Python (version 0.7.~~0~~)]] - Released ~~30 Jan~~ 2015

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Attach:download.jpg [[Attach:apm_python_v0.7.1.zip | Download APM Python (version 0.7.1)]] - Released 29 Apr 2015

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Attach:download.jpg [[Attach:apm_python_v0.~~6~~.~~1~~.zip | Download APM Python (version 0.~~6~~.~~1~~)]] - Released ~~5 May 2014~~

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Attach:download.jpg [[Attach:apm_python_v0.7.0.zip | Download APM Python (version 0.7.0)]] - Released 30 Jan 2015

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Attach:download.jpg [[Attach:apm_python_v0.6.~~0~~.zip | Download APM Python (version 0.6.~~0~~)]] - Released ~~20 January~~ 2014

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Attach:download.jpg [[Attach:apm_python_v0.6.1.zip | Download APM Python (version 0.6.1)]] - Released 5 May 2014

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Attach:download.jpg [[Attach:apm_python_v0.~~5~~.~~8d~~.zip | Download APM Python (version 0.~~5~~.~~8d~~)]] - Released ~~25 March 2013~~

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Attach:download.jpg [[Attach:apm_python_v0.6.0.zip | Download APM Python (version 0.6.0)]] - Released 20 January 2014

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[[http://apmonitor.com/online/view_pass.php?f=hs071.apm|Solve this problem~~]] problem ~~from a web-browser interface.

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* [[http://apmonitor.com/online/view_pass.php?f=hs071.apm|Solve this optimization problem from a web-browser interface]] or download the Python source above. The Python files are contained in folder ''example_hs71''.

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[[http://apmonitor.com/online/view_pass.php?f=hs071.apm|Solve this problem]] problem from a web-browser interface.

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Attach:download.jpg [[Attach:apm_python_v0.5.~~8~~.zip | Download APM Python (version 0.5.~~8~~)]] - Released ~~7 January~~ 2013

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Attach:download.jpg [[Attach:apm_python_v0.5.8d.zip | Download APM Python (version 0.5.8d)]] - Released 25 March 2013

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* [[Main/PythonFunctions | APM Python Source Code Documentation]]

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(:html:)

<iframe width="560" height="315" src="http://www.youtube.com/embed/t84YMw8p34w?rel=0" frameborder="0" allowfullscreen></iframe>

(:htmlend:)

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Attach:apm_python.png Python ~~offers a powerful scripting capabilities for solving nonlinear optimization problems. The optimization problem is sent to the APMonitor server and results are returned to the Python script. A web-interface to the solution helps to visualize the dynamic optimization problems. Example applications of nonlinear models with differential~~ and ~~algebraic equations are available for download below~~.

to:

Attach:apm_python.png APM Python is designed for large-scale optimization and accesses solvers of constrained, unconstrained, continuous, and discrete problems. Problems in linear programming, quadratic programming, integer programming, nonlinear optimization, systems of dynamic nonlinear equations, and multiobjective optimization can be solved. The platform can find optimal solutions, perform tradeoff analyses, balance multiple design alternatives, and incorporate optimization methods into external modeling and analysis software. It is free for academic and commercial use.

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----

to:

----

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Attach:download.jpg [[Attach:apm_python_v0.5.8.zip | Download APM Python (version 0.5.8)]] - Released ~~1~~ January 2013

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Attach:download.jpg [[Attach:apm_python_v0.5.8.zip | Download APM Python (version 0.5.8)]] - Released 7 January 2013

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Attach:download.jpg [[Attach:apm_python_v0.5.~~7~~.zip | Download APM Python (version 0.5.~~7~~)]] - Released ~~7 March 2012~~

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Attach:download.jpg [[Attach:apm_python_v0.5.8.zip | Download APM Python (version 0.5.8)]] - Released 1 January 2013

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Attach:download.jpg [[Attach:apm_python_v0.5.~~6~~.zip | Download APM Python (version 0.5.~~6~~)]] - Released 7 March 2012

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Attach:download.jpg [[Attach:apm_python_v0.5.7.zip | Download APM Python (version 0.5.7)]] - Released 7 March 2012

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Attach:download.jpg [[Attach:apm_python_v0.5.6.zip | Download APM Python (version 0.5.6)]] - Released ~~15 Feb~~ 2012

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Attach:download.jpg [[Attach:apm_python_v0.5.6.zip | Download APM Python (version 0.5.6)]] - Released 7 March 2012

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Attach:download.jpg [[Attach:apm_python_v0.5.~~5~~.zip | Download APM Python (version 0.5.~~5~~)]] - Released ~~5 Dec 2011~~

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Attach:download.jpg [[Attach:apm_python_v0.5.6.zip | Download APM Python (version 0.5.6)]] - Released 15 Feb 2012

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(:description ~~Use APMonitor with the power of Python scripting~~ language:)

!!~~Python for APMonitor~~

!!

to:

(:description APM Python: A comprehensive modeling and nonlinear optimization solution with Python scripting language:)

!! APM Python

!! APM Python

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Attach:download.jpg [[Attach:apm_python_v0.5.5.zip | APM Python (version 0.5.5) Released 5 Dec ~~2011]]~~

to:

Attach:download.jpg [[Attach:apm_python_v0.5.5.zip | Download APM Python (version 0.5.5)]] - Released 5 Dec 2011

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The latest APM Python libraries are attached below. Functionality has been tested with ~~Python 2~~.7 ~~and requires only the base [[http://www~~.~~python.org/getit/releases/2.~~7~~/ | Python installation~~]]. Example applications that use the apm.py library are listed further down on this page.

to:

The latest APM Python libraries are attached below. Functionality has been tested with [[http://www.python.org/getit/releases/2.7/ | Python 2.7]]. Example applications that use the apm.py library are listed further down on this page.

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The development roadmap for this and other libraries are detailed in the [[Main/ProductRoadmap | release notes]]~~ section~~. The zipped archive contains the APM Python library '''apm.py''' and a number of example problems in separate folders. Descriptions of the example problems are provided below.

to:

The development roadmap for this and other libraries are detailed in the [[Main/ProductRoadmap | release notes]]. The zipped archive contains the APM Python library '''apm.py''' and a number of example problems in separate folders. Descriptions of the example problems are provided below.

Changed line 17 from:

The ~~product~~ roadmap for this and other libraries are detailed in the [[Main/ProductRoadmap | release notes]] section. The zipped archive contains the APM Python library '''apm.py''' and a number of example problems in separate folders. Descriptions of the example problems are provided below.

to:

The development roadmap for this and other libraries are detailed in the [[Main/ProductRoadmap | release notes]] section. The zipped archive contains the APM Python library '''apm.py''' and a number of example problems in separate folders. Descriptions of the example problems are provided below.

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* %list list-blogroll% [[Apps/DistillationColumn | Distillation Column]]

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!!! ~~Folder example~~_hs071: Nonlinear Programming with Python

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!!! Example_hs071: Nonlinear Programming with Python

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!!! ~~Folder example~~_nlc: Nonlinear Control with Python

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!!! Example_nlc: Nonlinear Control with Python

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!!! ~~Folder example~~_tank_mhe/nlc: Nonlinear Estimation and Control with Python

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!!! Example_tank_mhe/nlc: Nonlinear Estimation and Control with Python

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!!! Folder example_tank_mhe: Nonlinear Estimation and Control with Python

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!!! Folder example_tank_mhe/nlc: Nonlinear Estimation and Control with Python

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!!! Download APM Python ~~Libraries~~

to:

!!! Download APM Python Library and Example Problems

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The ~~zipped archives contain a single script file '''apm.py'''. To use ~~the ~~APM Python library, include the following at the top of a~~ Python ~~script:~~

'''~~from ~~apm ~~import *'''~~

Previous versions of ~~the APM Python libraries are available below in~~ the ~~prior versions section. In general, it is best to use the most current version as it supports the most advanced server features. The product roadmap for this and other libraries are detailed in the [[Main/ProductRoadmap | release notes]] section.~~

''Prior Versions''

* [[Attach:apm_python_v0.5.4.zip | APM Python (version 0.5.4) Released 15 Sept 2011]]

Example applications of the APM Python library include nonlinear programming, nonlinear control, and other applications below.

Previous versions

''Prior Versions''

* [[Attach:apm_python_v0.5.4.zip | APM Python (version 0.5.4) Released 15 Sept 2011]]

Example applications of the APM Python library include nonlinear programming, nonlinear control, and other applications

to:

The product roadmap for this and other libraries are detailed in the [[Main/ProductRoadmap | release notes]] section. The zipped archive contains the APM Python library '''apm.py''' and a number of example problems in separate folders. Descriptions of the example problems are provided below.

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!!! ~~Nonlinear Programming with~~ Python

Attach:download.jpg [[Attach:python_hs71.zip | APM Python for Nonlinear Optimization]]

Attach:download.jpg [[Attach:python_hs71.zip | APM Python for Nonlinear Optimization]]

to:

!!! Folder example_hs071: Nonlinear Programming with Python

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!!! ~~Nonlinear Control with~~ Python

Attach:download.jpg [[Attach:python_nlc.zip | APM Python Example for Nonlinear Control]]

Attach:download.jpg [[Attach:python_nlc.zip | APM Python Example for Nonlinear Control]]

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!!! Folder example_nlc: Nonlinear Control with Python

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!!! Nonlinear Estimation and Control with Python

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!!! Folder example_tank_mhe: Nonlinear Estimation and Control with Python

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The the unknown parameters ''c1'' and ''c2'' need to be determined. The parameter ''c1'' is the flow into the tank when the valve is fully open. The parameter ''c2'' is the relationship between the volume of water in the tank and the outlet flow. ~~Notice that this model is nonlinear because the outlet flow depends on the square root of the liquid ~~volume. Nonlinear estimation is a technique to determine parameters based on the measurements. The ~~following Python script~~ uses the process data and the nonlinear model to determine the optimal parameters ''c1'' and ''c2''.

Attach:download.jpg [[Attach:python_tank_mhe.zip | Nonlinear Estimation of a Gravity Drained Tank]]

Attach:download.jpg [[Attach:python_tank_mhe.zip | Nonlinear Estimation of a Gravity Drained Tank]]

to:

The the unknown parameters ''c1'' and ''c2'' need to be determined. The parameter ''c1'' is the flow into the tank when the valve is fully open. The parameter ''c2'' is the relationship between the volume of water in the tank and the outlet flow. This model is nonlinear because the outlet flow depends on the square root of the liquid volume. Nonlinear estimation is a technique to determine parameters based on the measurements. The script in '''example_tank_mhe''' uses the process data and the nonlinear model to determine the optimal parameters ''c1'' and ''c2''.

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After an accurate model of the process is obtained, the model can be used in a Nonlinear Control (NLC) application. A PID controller is compared to the NLC response in the ~~following script~~.

Attach:download.jpg [[Attach:python_tank_nlc.zip | Nonlinear Control of a Gravity Drained Tank]]

Attach:download.jpg [[Attach:python_tank_nlc.zip | Nonlinear Control of a Gravity Drained Tank]]

to:

After an accurate model of the process is obtained, the model can be used in a Nonlinear Control (NLC) application. A PID controller is compared to the NLC response in the folder '''example_tank_nlc'''.

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The latest APM Python libraries are attached below. Functionality has been tested with Python 2.7 and requires only the base [[http://www.python.org/getit/releases/2.7/ | Python installation]].

to:

The latest APM Python libraries are attached below. Functionality has been tested with Python 2.7 and requires only the base [[http://www.python.org/getit/releases/2.7/ | Python installation]]. Example applications that use the apm.py library are listed further down on this page.

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Example applications of the APM Python library include nonlinear programming, nonlinear control, and other applications below.

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Previous versions of the APM Python libraries are available below~~. In general, it is best to use the most current version as it supports the most advanced server features. The product roadmap for this and other libraries are detailed in the [[Main/ProductRoadmap | release notes]]~~ section.

to:

Previous versions of the APM Python libraries are available below in the prior versions section. In general, it is best to use the most current version as it supports the most advanced server features. The product roadmap for this and other libraries are detailed in the [[Main/ProductRoadmap | release notes]] section.

''Prior Versions''

''Prior Versions''

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'''from apm import *~~'~~'''

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'''from apm import *'''

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Attach:download.jpg [[Attach:apm_python_v0.5.5.zip | APM Python ~~- v.~~0.5.5 ~~-~~ 5 Dec 2011]]

to:

Attach:download.jpg [[Attach:apm_python_v0.5.5.zip | APM Python (version 0.5.5) Released 5 Dec 2011]]

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* [[Attach:apm_python_v0.5.4.zip | APM Python ~~- v.~~0.5.4 ~~-~~ 15 Sept 2011]]

to:

* [[Attach:apm_python_v0.5.4.zip | APM Python (version 0.5.4) Released 15 Sept 2011]]

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Attach:download.jpg [[Attach:python_hs71.zip |~~ Download~~ APM Python for Nonlinear Optimization]]

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Attach:download.jpg [[Attach:python_hs71.zip | APM Python for Nonlinear Optimization]]

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Attach:download.jpg [[Attach:python_nlc.zip | ~~Download ~~APM Python ~~Package~~ for Nonlinear Control]]

to:

Attach:download.jpg [[Attach:python_nlc.zip | APM Python Example for Nonlinear Control]]

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Previous versions of the APM Python libraries are available below. In general, it is best to use the most current version as it supports the most advanced server features.

Attach:download.jpg [[Attach:apm_python_v0.5.4.zip | APM Python - v.0.5.4 - 15 Sept 2011]]

Attach:download.jpg

to:

Previous versions of the APM Python libraries are available below. In general, it is best to use the most current version as it supports the most advanced server features. The product roadmap for this and other libraries are detailed in the [[Main/ProductRoadmap | release notes]] section.

* [[Attach:apm_python_v0.5.4.zip | APM Python - v.0.5.4 - 15 Sept 2011]]

* [[Attach:apm_python_v0.5.4.zip | APM Python - v.0.5.4 - 15 Sept 2011]]

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The latest APM Python libraries are attached below.

to:

The latest APM Python libraries are attached below. Functionality has been tested with Python 2.7 and requires only the base [[http://www.python.org/getit/releases/2.7/ | Python installation]].

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Previous versions of the APM Python libraries are available below. In general, it is best to use the most current version as it supports the most advanced server features.

Attach:download.jpg [[Attach:apm_python_v0.5.4.zip | APM Python - v.0.5.4 - 15 Sept 2011]]

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!!! Download APM Python Libraries ~~Versions~~

* [[Attach:apm_python_v0.5.5.zip | APM Python - v.~~0~~.~~5.5 - Released ~~5 ~~Dec 2011]]~~

* [[Attach:apm_python_v0.5.4.zip | APM Python -v.0.5.~~4~~ - ~~Released 15 Sept ~~2011]]

* [[Attach:apm_python_v0.5.5.zip | APM Python - v

* [[Attach:apm_python_v0.5.4.zip | APM Python -

to:

!!! Download APM Python Libraries

The latest APM Python libraries are attached below.

Attach:download.jpg [[Attach:apm_python_v0.5.5.zip | APM Python - v.0.5.5 - 5 Dec 2011]]

Attach:download.jpg [[Attach:apm_python_v0.5.4.zip | APM Python - v.0.5.4 - 15 Sept 2011]]

The zipped archives contain a single script file '''apm.py'''. To use the APM Python library, include the following at the top of a Python script:

'''from apm import *''''

The latest APM Python libraries are attached below.

Attach:download.jpg [[Attach:apm_python_v0.5.5.zip | APM Python - v.0.5.5 - 5 Dec 2011]]

Attach:download.jpg [[Attach:apm_python_v0.5.4.zip | APM Python - v.0.5.4 - 15 Sept 2011]]

The zipped archives contain a single script file '''apm.py'''. To use the APM Python library, include the following at the top of a Python script:

'''from apm import *''''

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!!! Download APM Python Libraries Versions

* [[Attach:apm_python_v0.5.5.zip | APM Python - v.0.5.5 - Released 5 Dec 2011]]

* [[Attach:apm_python_v0.5.4.zip | APM Python - v.0.5.4 - Released 15 Sept 2011]]

----

* [[Attach:apm_python_v0.5.5.zip | APM Python - v.0.5.5 - Released 5 Dec 2011]]

* [[Attach:apm_python_v0.5.4.zip | APM Python - v.0.5.4 - Released 15 Sept 2011]]

----

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Attach:download.jpg [[Attach:python_hs71.zip | Download APM Python~~ Package~~ for Nonlinear Optimization]]

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Attach:download.jpg [[Attach:python_hs71.zip | Download APM Python for Nonlinear Optimization]]

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Python offers a powerful scripting capabilities for solving nonlinear optimization problems. The optimization problem is sent to the APMonitor server and results are returned to the Python script. A web-interface to the solution helps to visualize the dynamic optimization problems. Example applications of nonlinear models with differential and algebraic equations are available for download below.

to:

Attach:apm_python.png Python offers a powerful scripting capabilities for solving nonlinear optimization problems. The optimization problem is sent to the APMonitor server and results are returned to the Python script. A web-interface to the solution helps to visualize the dynamic optimization problems. Example applications of nonlinear models with differential and algebraic equations are available for download below.

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* %list list-blogroll% [[Apps/StirredReactor | Stirred Reactor]]

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----

to:

----

!!! Other Applications with Python

* %list list-blogroll% [[Apps/DiabeticGlucose | Diabetic Blood Glucose Control]]

----

!!! Other Applications with Python

* %list list-blogroll% [[Apps/DiabeticGlucose | Diabetic Blood Glucose Control]]

----

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Attach:download.jpg [[Attach:python_tank_mhe.zip |~~ Download APM Python Package for~~ Nonlinear Estimation of a Gravity Drained Tank]]

to:

Attach:download.jpg [[Attach:python_tank_mhe.zip | Nonlinear Estimation of a Gravity Drained Tank]]

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Attach:download.jpg [[Attach:python_tank_nlc.zip |~~ Download APM Python Package for~~ Nonlinear Control of a Gravity Drained Tank]]

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Attach:download.jpg [[Attach:python_tank_nlc.zip | Nonlinear Control of a Gravity Drained Tank]]

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!!! Nonlinear Estimation and Control with Python

In this case study, a gravity drained tank was operated to generate data. A dynamic model of the process was derived from a material balance. This material balance is displayed below, along with a diagram of the system.

Attach:python_tank.png

The the unknown parameters ''c1'' and ''c2'' need to be determined. The parameter ''c1'' is the flow into the tank when the valve is fully open. The parameter ''c2'' is the relationship between the volume of water in the tank and the outlet flow. Notice that this model is nonlinear because the outlet flow depends on the square root of the liquid volume. Nonlinear estimation is a technique to determine parameters based on the measurements. The following Python script uses the process data and the nonlinear model to determine the optimal parameters ''c1'' and ''c2''.

Attach:download.jpg [[Attach:python_tank_mhe.zip | Download APM Python Package for Nonlinear Estimation of a Gravity Drained Tank]]

Attach:python_tank_mhe.png

After an accurate model of the process is obtained, the model can be used in a Nonlinear Control (NLC) application. A PID controller is compared to the NLC response in the following script.

Attach:download.jpg [[Attach:python_tank_nlc.zip | Download APM Python Package for Nonlinear Control of a Gravity Drained Tank]]

Attach:python_tank_nlc.png

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!!! ~~Example #1: Hock-Schittkowsky Test Suite #71 with the IPOPT Solver~~

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!!! Nonlinear Programming with Python

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Hock-Schittkowsky Test Suite #71

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!!!~~ Example #2:~~ Nonlinear Control with Python

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!!! Nonlinear Control with Python

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(:title ~~Python Interface to APMonitor~~:)

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(:title Nonlinear Optimization with Python:)

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Attach:download.jpg [[Attach:python_hs71.zip | Download APM Python ~~Source~~ for Nonlinear Optimization]]

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Attach:download.jpg [[Attach:python_hs71.zip | Download APM Python Package for Nonlinear Optimization]]

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Attach:download.jpg [[Attach:python_nlc.zip | Download APM Python ~~Source~~ for Nonlinear Control]]

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Attach:download.jpg [[Attach:python_nlc.zip | Download APM Python Package for Nonlinear Control]]

Attach:python_nlc.png

Attach:python_nlc.png

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!!! Example #2: Nonlinear Control with ~~Python with the APOPT solver~~

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!!! Example #2: Nonlinear Control with Python

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Attach:download.jpg [[Attach:python_hs71.zip | Download APM Python ~~Interface ~~Source for ~~HS71~~]]

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Attach:download.jpg [[Attach:python_hs71.zip | Download APM Python Source for Nonlinear Optimization]]

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Attach:download.jpg [[Attach:python_nlc.zip | Download APM Python~~ Interface~~ Source for Nonlinear Control]]

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Attach:download.jpg [[Attach:python_nlc.zip | Download APM Python Source for Nonlinear Control]]

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(:title Python Interface to APMonitor:)

(:keywords nonlinear, Python, model, predictive control, APMonitor, differential, algebraic, modeling language:)

(:description Use APMonitor with the power of Python scripting language:)

!! Python for APMonitor

Python offers a powerful scripting capabilities for solving nonlinear optimization problems. The optimization problem is sent to the APMonitor server and results are returned to the Python script. A web-interface to the solution helps to visualize the dynamic optimization problems. Example applications of nonlinear models with differential and algebraic equations are available for download below.

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!!! Example #1: Hock-Schittkowsky Test Suite #71 with the IPOPT Solver

Attach:download.jpg [[Attach:python_hs71.zip | Download APM Python Interface Source for HS71]]

Attach:hs71.gif

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!!! Example #2: Nonlinear Control with Python with the APOPT solver

Attach:download.jpg [[Attach:python_nlc.zip | Download APM Python Interface Source for Nonlinear Control]]

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(:keywords nonlinear, Python, model, predictive control, APMonitor, differential, algebraic, modeling language:)

(:description Use APMonitor with the power of Python scripting language:)

!! Python for APMonitor

Python offers a powerful scripting capabilities for solving nonlinear optimization problems. The optimization problem is sent to the APMonitor server and results are returned to the Python script. A web-interface to the solution helps to visualize the dynamic optimization problems. Example applications of nonlinear models with differential and algebraic equations are available for download below.

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!!! Example #1: Hock-Schittkowsky Test Suite #71 with the IPOPT Solver

Attach:download.jpg [[Attach:python_hs71.zip | Download APM Python Interface Source for HS71]]

Attach:hs71.gif

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!!! Example #2: Nonlinear Control with Python with the APOPT solver

Attach:download.jpg [[Attach:python_nlc.zip | Download APM Python Interface Source for Nonlinear Control]]

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