ELEC3304 Chapter Notes - Chapter 8: Step Response, Damping Ratio, Asymptote
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I c i. e. the closed-loop poles are the roots of. Clearly we can make this equal any arbitrary third-order polynomial a s a. Using above result, we need (75 8) /1 67. For the plant pg s ( ) 1/( s closed-loop denominator be. , it is desired that the closed-loop poles be at 5, 5, 5. The step response of our compensated system is given below. The situation is illustrated in the figure below, together with the root locus for a proportional compensator. From this you can easily see that 0s is not on the root locus and is actually to the right of the root locus. So we need to bend the root locus to the right (as opposed to left on l9. 4). This would obviously require the compensator pole ( Even if you don"t realize this, you can work in the usual fashion. 0s to be on the (compensated) root locus, we need s.