Control of Multiple-Input, Multiple- Output (MIMO) Processes
Output (MIMO) Processes 18.1 Process Interactions and Control Loop Interactions 18.2 Pairing of Controlled and Manipulated Variables 18.3 Singular Value Analysis 18.4 Tuning of Multiloop PID Control Systems 18.5 Decoupling and Multivariable Control Strategies 18.6 Strategies for Reducing Control Loop Interactions 1 Chapter 18
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Dynamic Behavior and Stability of Closed-Loop Control Systems
sites.chemengr.ucsb.edudirectly follows Example 4.4. Consider the unsteady-state mass balance for the tank contents: ρρρρ12 3(11-32) dh Aqqq dt =+ − Substituting the flow-head relation, q3 = h/R, and introducing deviation variables gives 12 (11-33) dh h Aqq dt R ′ ′ =+−′′ Thus, we obtain the transfer functions ( ) () 2 (11-34) τ 1 p p Hs K Gs Qs s
Chapter 12
sites.chemengr.ucsb.edu• The IMC and DS methods provide satisfactory set-point responses, but very slow disturbance responses, because the value of is very large. • Fortunately, this problem can be solved in three different ways. Method 1: Integrator Approximation τI ()θ/τ 1 * Approximate ( ) by ( ) 1 where * / . Ke s K e s Gs Gs s s KK −θ−θ == τ+ τ
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