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FREQUENCY-RESPONSE ANALYSIS

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ECE4510/5510: Feedback Control 1FREQUENCY-RESPONSE : Motivation to study FREQUENCY-RESPONSE methods Advantages and disadvantages to root-locus design approach:ADVANTAGES: Good indicator of transient response. Explicitly shows location of closed-loop poles. Tradeoffs : Requires transfer function of plant be known. Difficult to infer all performance values. Hard to extract steady-state response (sinusoidal inputs). FREQUENCY-RESPONSE methods can be used tosupplementroot locus: Can infer performance and stability from same plot. Can use measured data when no model is available. Design process is independent of system order (# poles).

Lecture notes prepared by and copyright ⃝c 1998–2017, Gregory L. Plett and M. Scott Trimboli ECE4510/ECE5510, FREQUENCY-RESPONSE ANALYSIS 8–5 Plot each point on the complex plane at(a + jb) or Ae jφ for each

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