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Dynamic Behavior and Stability of Closed-Loop Control Systems

Control Valve As discussed in Section 9.2, control valves are usually designed so that the flow rate through the valve is a nearly linear function of the signal to the valve actuator. Therefore, a first-order transfer function usually provides an adequate model for operation of an installed valve in the vicinity of a nominal steady state. Thus, we

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

sites.chemengr.ucsb.edu

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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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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