. Consider a unity feedback system with the closed-loop transfer function 2 = 5₁₁ le(t) | dt 2 2 s² + 2@ns + @n For unit

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Consider A Unity Feedback System With The Closed Loop Transfer Function 2 5 Le T Dt 2 2 S 2 Ns N For Unit 1 (139.78 KiB) Viewed 26 times

. Consider a unity feedback system with the closed-loop transfer function 2 = 5₁₁ le(t) | dt 2 2 s² + 2@ns + @n For unit-step input, compute the following performance indices 1. IAE: C(s) R(s) (ii) From Appendix I, = Wn t | e(t) | dt Calculate the values of a which minimize IAE and ITAE respectively. Are these values of practical? If not, then choose suitable values of , and determine the corresponding performance indices. Hint: (i) Since damping factor = 1, the system does not overshoot. Therefore le(t)= e(t) Ste e e(t) dt = lim E(s); s-0 te(t) dt = lim 2. ITAE = d [- + E(S)] S-0 ds