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Unformatted text preview: 1 Chapter 11 Stability of ClosedLoop Control Systems Example 11.4 Consider the feedback control system shown in Fig. 11.8 with the following transfer functions: 1 (1173) 2 1 c c v G K G s = = + 1 1 (1174) 5 1 1 p d m G G G s s = = = + + Show that the closedloop system produces unstable responses if controller gain K c is too large. 2 Chapter 11 Figure 11.23. Effect of controller gains on closedloop response to a unit step change in set point (example 11.1). 3 Chapter 11 Stability Most industrial processes are stable without feedback control. Thus, they are said to be openloop stable or selfregulating . An openloop stable process will return to the original steady state after a transient disturbance (one that is not sustained) occurs. By contrast there are a few processes, such as exothermic chemical reactors, that can be openloop unstable . Definition of Stability. An unconstrained linear system is said to be stable if the output response is bounded for all bounded inputs. Otherwise it is said to be unstable. 4 Chapter 11...
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 Spring '09
 Dr.MuhammadAlArfaj

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