l20 - 16.06 Lecture 20 Eects of Proportional Control Karen...

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16.06 Lecture 20 Effects of Proportional Control Karen Willcox October 22, 2003 Today’s Topics 1. Trade-off between stability and accuracy 2. First-order system 3. Second-order system 4. Third-order system 5. Angle and magnitude conditions Reading : l.n 1
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1 Control System Design We have spent the first half of the semester learning how to analyze linear systems. Recall the four motivations for feedback: 1. Reduce the effects of parameter variations 2. Reduce the effects of disturbance inputs 3. Improve transient response characteristics 4. Reduce steady-state errors We have learned how to quantify each of these effects for linear systems. We now understand the desirable and undesirable aspects of the transient and steady-state behavior of closed-loop systems. Once we have established performance specifications for a system, our primary concern will be the design of the compensator, i.e. how do we locate the closed-loop poles where we want them?
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