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Unformatted text preview: Designing via root locus • We have seen how a root locus graphically displays stability information, in addition root locus can also display the transient response of a system. Α closed loop pole open loop pole j ϖ Β • A and B represent the actual and desired tran- sient responses. Both have the same damping ration hence % overshoot but point B repre- sent a faster response time. 1 • As point B does not lie on the root locus the system must be compensated by additional open loop poles and zeros so that the compen- sated system has a root locus passing through the desired point for some value of gain. • One method of compensating for transient response is to insert a differentiator value in the forward path, producing a faster response. • One method for compensating for steady-state error is to add a pole at the origin in the for- ward path, increasing the system type. Improving steady state errors (SSE) • We will study two techniques, placing a pure- integrator to place a pole at the origin, and placing a pole close to the origin....
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This note was uploaded on 01/23/2012 for the course EE 4580 taught by Professor Gu during the Fall '10 term at LSU.
- Fall '10