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How to determine peak time and overshoot in a control system

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A system with G(s) = K/(s(s+1)(s+4)) where K = 1

Design aPI controller so that the dominant roots are at s = -0.365+j0.514 and -0.365-j0.514.

If a change of K = +50% or -50% occurs. Does the system peak time increase or decrease? Does the overshoot increase or decrease?

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The expert determines the peak time and overshoot in a control system.

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A system with where K=1.

Design a PI controller so that the dominant roots are at
.

If a change of K= 50% occurs. Does ...

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