controller_interactions

controller_interactions - Control Loop Interactions 1....

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Unformatted text preview: Control Loop Interactions 1. Introduction 2. Multivariable systems 3. Controller interactions 4. Multivariable closed-loop stability 5. Simulink example 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 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 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 Stirred Tank Heating Example cont....
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This document was uploaded on 02/04/2012.

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controller_interactions - Control Loop Interactions 1....

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