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More Dynamic Optimization Benchmarks

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February 10, 2016, at 07:04 AM by 174.148.96.184 -
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February 10, 2016, at 06:39 AM by 174.148.96.184 -
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<iframe width="560" height="315" src="https://www.youtube.com/embed/yuj217itTa8" frameborder="0" allowfullscreen></iframe>
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!!!! Luus Problem

Attach:download.png [[Attach:dynamic_optimization_luus.zip|Luus Problem in MATLAB and Python]]
February 10, 2016, at 06:36 AM by 174.148.96.184 -
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February 10, 2016, at 06:11 AM by 174.148.96.184 -
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Attach:download.png [[Attach:dynamic_optimization_catalyst.zip|Dynamic Optimization Catalyst Solution in MATLAB and Python]]
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Attach:download.png [[Attach:dynamic_optimization_catalyst.zip|Catalyzed Reaction Optimized in MATLAB and Python]]
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Attach:download.png [[Attach:dynamic_optimization_fishery.zip|Dynamic Optimization Fishery Solution in MATLAB and Python]]
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Attach:download.png [[Attach:dynamic_optimization_fishery.zip|Economic Optimization of Fishery in MATLAB and Python]]

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<iframe width="560" height="315" src="https://www.youtube.com/embed/MA53XPp-a7I" frameborder="0" allowfullscreen></iframe>
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!!!! Jennings Problem

Attach:download.png [[Attach:dynamic_optimization_jennings.zip|Jennings Problem in MATLAB and Python]]
February 10, 2016, at 12:59 AM by 174.148.92.107 -
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->Attach:dynopt_alychan.png
February 10, 2016, at 12:59 AM by 174.148.92.107 -
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February 10, 2016, at 12:39 AM by 174.148.92.107 -
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!!!! Commercial Fishery

Attach:download.png [[Attach:dynamic_optimization_fishery.zip|Dynamic Optimization Fishery Solution in MATLAB and Python]]

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<iframe width="560" height="315" src="https://www.youtube.com/embed/jB7WWGHFNIw" frameborder="0" allowfullscreen></iframe>
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February 09, 2016, at 01:22 PM by 174.148.118.172 -
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See [[https://youtu.be/5qY7WyngRbo|estimation example]] using the same model to explain estimator objectives.
February 09, 2016, at 01:19 PM by 174.148.118.172 -
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<iframe width="560" height="315" src="https://www.youtube.com/embed/cd0TkFtXfWs" frameborder="0" allowfullscreen></iframe>
February 09, 2016, at 12:49 PM by 174.148.118.172 -
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!!!! Aly-Chan Problem'^2^'
to:
!!!! Aly-Chan Singular Control Problem'^2^'
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!!!! Catalyzed Reaction

Attach:download.png [[
Attach:dynamic_optimization_catalyst.zip|Dynamic Optimization Catalyst Solution in MATLAB and Python]]
to:
!!!! Aly Singular Control Problem

Attach:download.png [[Attach:dynamic_optimization_aly.zip|Aly Singular Control Solution in MATLAB and Python]]
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!!!! Catalyzed Reaction

Attach:download.png [[Attach:dynamic_optimization_catalyst.zip|Dynamic Optimization Catalyst Solution in MATLAB and Python]]

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<iframe width="560" height="315" src="https://www.youtube.com/embed/jB7WWGHFNIw" frameborder="0" allowfullscreen></iframe>
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February 09, 2016, at 06:33 AM by 174.148.220.36 -
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!!!! Solution to Catalyzed Reaction Problem
February 09, 2016, at 06:33 AM by 174.148.220.36 -
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February 09, 2016, at 06:31 AM by 174.148.220.36 -
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!!!! Solution to Aly-Chan Problem
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!!!! Catalyzed Reaction

!!!! Solution to Catalyzed Reaction Problem
Attach:download.png [[Attach:dynamic_optimization_catalyst.zip|Dynamic Optimization Catalyst Solution in MATLAB and Python]]

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!!!! Aly-Chan Problem
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!!!! Aly-Chan Problem'^2^'
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* The objective is to minimize final state ''x_3_(pi/2)'' by adjusting the value of ''u''.
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* The objective is to minimize final state ''x'_3_'(pi/2)'' by adjusting the value of ''u''.
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* Nonlinear, constrained, minimize final state
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* Solve the following nonlinear and constrained problem.
* The objective is to minimize final state ''x_3_(pi/2)'' by adjusting the value of ''u''.
* Compare to the exact solution of ''u(t)= -sin(t)''.
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!!!! Exercise

'''Objective:''' Set up and solve several [[Attach:Dynamic_Optimization_Benchmarks.pdf|dynamic optimization benchmark problems]]. Create a program'^1^' to optimize and display the results. ''Estimated Time (each): 30 minutes''

!!!! Aly-Chan Problem
* Nonlinear, constrained, minimize final state
->Attach:dynopt_alychan.png
!!!! Solution to Aly-Chan Problem
Attach:download.png [[Attach:dynamic_optimization_alychan.zip|Dynamic Optimization Aly-Chan Solution in MATLAB and Python]]

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!!!! References

# Hedengren, J. D. and Asgharzadeh Shishavan, R., Powell, K.M., and Edgar, T.F., Nonlinear Modeling, Estimation and Predictive Control in APMonitor, Computers and Chemical Engineering, Volume 70, pg. 133–148, 2014. [[http://dx.doi.org/10.1016/j.compchemeng.2014.04.013|Article]]

# Aly G.M. and Chan W.C. Application of a modified quasilinearization technique to totally singular optimal problems. International Journal of Control, 17(4): 809-815, 1973.