A process has the following block diagram representation:

Chapter 6, Problem 6.23

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A process has the following block diagram representation: U(s) (O.ls + 1)2 4s2 + 2s + 1 Y(s) (a) Will the process exhibit overshoot for a step change in u? Explain/demonstrate why or why not. Exercises 113 (b) What will be the approximate maximum value of y forK = K1K2 = 1 and a step change, U(s) = 3/s? (c) Approximately when will the maximum value occur? (d) Simulate and plot both the actual fourth-order response and a second-order-plus-time-delay response that approximates the critically damped element for values of T1 = 0.1, 1, and 5. What can you conclude about the quality of the approximation when T1 is much smaller than the underdamped element's time scale? about the order of the underdamped system's time scale?

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