(a) Calculate the roots of the characteristic equations and relate them to the dynamic behaviors of the closed-loop systems in Figure 8.4. (b) Select different tuning constant values that yield substantially different dynamic behavior for the closed-loop system in Example 8.5. Describe the different time-domain behavior. Example 8.5 To facilitate the solution, a simple process—the stirred-tank heater is selected, with the controlled variable being the tank temperature and the manipulated variable being the coolant flow valve, as shown in Figure 8.9. Since proportional control was considered in Example 8.2, a proportional-integral controller is selected, because this will ensure zero steady-state offset. The response to a step set point change will be determined.
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