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Problem 3. (20 points) A process consists of an integrating element operating in parallel with a first order element whose block diagram is shown in

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Problem 3. (20 points) A process consists of an integrating element operating in parallel with a first order element whose block diagram is shown in the figure below. Kze-os U(s) Y(S) Kies Tis +1 (a) (10 points) Find the conditions that must be satisfied so that y(t) exhibits inverse response. (b) (10 points) If y(t) exhibits inverse response, sketch the response of y(t) to a unit step change of u(t). Assume that parameters Ky, K2, T1 and 0 are positive

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