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controller_interactions

controller_interactions - Control Loop Interactions 1 2 3 4...

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Control Loop Interactions 1. Introduction 2. Multivariable systems 3. Controller interactions 4. Multivariable closed-loop stability 5. Simulink example
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Introduction We have focused on single- input, single-output (SISO) control problems Most real control problems involve multiple inputs and multiple outputs (MIMO) » Each input usually affects multiple outputs » Can be difficult to design and tune control system Multiloop control strategy » Pair input and output variables together » Design SISO controller for each input/output pair » Attempt to minimize interactions between controllers
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Multivariable Systems Blending system » w A and w B affect both w and x » Not clear how to pair variables Distillation column » Pair R / x D and S / x B » Significant interactions between controllers Flash drum » Pair G / P and L / h » Main interaction will be G on h
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Stirred Tank Heating Example Control problem » Manipulated inputs: w h and w c » Controlled outputs: T and h Mass and energy balances Simplify energy balance using product rule ) ( ) ( ) ( )] ( [ ) ( ref ref c c ref h h ref c h T T wC T T C w T T C w dt T T VC d w w w dt V d - - - + - = - - + = ρ ρ ] ) ( [ 1 ) ( 1 T w w T w T w Ah dt dT w w w A dt dh c h c c h h c h + - + = - + = ρ ρ
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Stirred Tank Heating Example cont.
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