Chapter 12
• Although these feedback controllers do not always have a PID structure, the DS method does produce PI or PID controllers for common process models. • As a starting point for the analysis, consider the block diagram of a feedback control system in Figure 12.2. The closed-loop transfer function for set-point changes was derived in Section 11.2:
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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
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