Control of Multiple-Input, Multiple- Output (MIMO) Processes

Control of Multiple- Input, Multiple- Output (MIMO) Processes Chapter 18. Process Interactions and Control Loop Interactions Pairing of Controlled and Manipulated Variables Singular Value Analysis Tuning of Multiloop PID Control Systems Decoupling and Multivariable Control Strategies Strategies for Reducing Control Loop Interactions 1. Control of Multivariable Processes In practical Control problems there typically are a number of process variables which must be controlled Chapter 18. and a number which can be manipulated. Example: product quality and throughput must usually be controlled. Several simple physical examples are shown in Fig. Note the "process interactions" between controlled and manipulated variables. 2. Chapter 18. SEE FIGURE in text. 3. Chapter 18. 4. Controlled Variables: xD , xB , P, hD , and hB. Manipulated Variables: D, B, R, QD , and QB. Note: Possible multiloop Control strategies = 5! = 120. Chapter 18. 5. In this chapter we will be concerned with characterizing process interactions and selecting an appropriate multiloop Control configuration.

but not process dynamics. Chapter 18 19. Example of RGA Analysis: 2 x 2 system • Steady-state process model, The RGA, Λ, is defined as: where the relative gain, λ ... Appropriate for nonlinear processes. () 12 12 11 21 21 22 18 85 18 86 P P P P K T K K. 1 2

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  Dynamics, Nonlinear

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