ME369 Modeling,Analysis and System Control-A --Lecture 141029 Week 7# Ch5.3~5. Oct.27(M) Transient,second order system, spec. 6 Transient,higher order system Ch5.45. Oct.29(W) HW4 Stability,Routh Criterion 7 Week 8# Routh Criterion Ch5.7 Nov.3(M) HW3 due Steady State Error Ch5.8 Practical lecture 1-control Nov.5(W) system modeling Quiz 2
ME369 Modeling, Analysis and System Control-A --Lecture_141029 Week 7# Oct.27(M) Transient, second order system, spec. Ch5.3~5. 6 Oct.29(W) Transient, higher order system Stability, Routh Criterion Ch5.4~5. 7 HW4 Week 8# Nov.3(M) Routh Criterion Steady State Error Ch5.7 Ch5.8 HW3 due Nov.5(W) Practical lecture 1 – control system modeling Quiz 2
Problems of HW4 ·Refer to the ftp site. ftp://public.sjtu.edu.cn ·User:yuanjj ·Password:public DUE:Nov.12(W)
Problems of HW4 • Refer to the ftp site. • ftp://public.sjtu.edu.cn • User: yuanjj • Password: public DUE: Nov.12(W)
Preliminary Design Consideration The desired closed-loop poles on s plane Constant Mp loci Constant ts loci or Constant loci of second-order system of second-order system Constant wn loci of second-order system ◆j 53% M=16% 16% jω 4.5% 0.2 M-0.25% 0.5 0.7 -8 -6 -4 -2 O 0.9 M≤16% 0% 1.0 1≤2 o, arccos 509 0.25% 0.7 1=0.5 1.0 0.5 2.5s 4.5% 0.2 3 16% 53%100% 1≤2s
Preliminary Design Consideration • The desired closed-loop poles on s plane Constant Mp loci or Constant ζ loci of second-order system Constant ts loci of second-order system Constant ω n loci of second-order system
Exercise #1 A certain servomechanism system has dynamics dominated by a pair of complex poles and no finite zeros.The time-domain specifications on the rise time,settling time,and maximum overshoot are given by, rise from 10%to 90% M,≤17% t,≤4.6sec t,≤l.2sec Sketch the region in the s-plane where the poles could be placed so that the system will meet all three specifications. M,=e ≤0.17→6≥0.491 on≥1.5rad/s
A certain servomechanism system has dynamics dominated by a pair of complex poles and no finite zeros. The time-domain specifications on the rise time, settling time, and maximum overshoot are given by, 1.2sec? r t 4.6sec s 17% t M p Sketch the region in the s-plane where the poles could be placed so that the system will meet all three specifications. Exercise #1 rise from 10% to 90% 0.17 0.491 2 1 M e p 1.5 / n rad s
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