Dynamics and Control

Distillation Column in Simulink

Relate each problem in the context of the overall course objectives.

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Special Problem 16 Script Files

For Special Problem 16, Python 2.7 is required to run the simulations. It is available for free download from the Python web-site. To run the simulations, double-click on the appropriate python script. A web-page will open to allow you to view the solution.

1. Assignment due by the start of Lecture #42: Lab Project and SP16

• Empirical model fitting of a Multiple Input Multiple Output (MIMO) System
• Relative Gain Array (RGA) analysis to determine best pairing of Manipulated and Controlled Variables
• Simulate distillation column with PID Non-interacting controllers
• Simulate distillation column with PID Interacting Controllers with Feedforward information from other controllers
• Derivation of First Principles model
• Nonlinear Control (NLC)

Lecture 41 - Distillation Control

A distillation column is typically a highly coupled system that leads to multiple interacting controllers. Techniques from this class that are useful for designing the control system are: • Empirical model fitting of a Multiple Input Multiple Output (MIMO) System • Relative Gain Array (RGA) analysis to determine best pairing of Manipulated and Controlled Variables • Simulate distillation column with PID Non-interacting controllers • Simulate distillation column with PID Interacting Controllers with Feedforward information from other controllers • Derivation of First Principles model • Nonlinear Control (NLC)

• Lecture 41 Notes

The distillation column example uses both empirical and first principles approaches to address controller interaction. With the empirical approach, PID controller tuning is derived. With a first principles model, a nonlinear control can improve the disturbance rejection and set point tracking capabilities.

Homework

1. Course reading for next class: Review course material
2. Assignment due by the start of Lecture #42: SP16

Relate each problem in the context of the overall course objectives.