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Using the following transfer function, optimize kp to obtain the fastest possible step response with a...

Using the following transfer function, optimize kp to obtain the fastest possible step response with a single overshoot and less than 5% peak overshoot. kp is in the H(s) function.

The transfer function is [5*H(s)]/[s^3+8s^2+15s+5*H(s)].

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Answer #1

I used matlab to draw root locus

At gain 2.84 over shoot become 5%

So

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