西安理工大学自动化与信息工程学院自动控制理论Chapter3 Time-Domain Analysis of the Linnear Systems(2).pptVIP

3.3 steady-state error Analysis of the linear system 3.3 steady-state error analysis of the linear system 3.3 steady-state error analysis of the linear system 3.3 steady-state error analysis of the linear system 3.3.2 Solving the steady-state error  — by the final value principle 2) r(t)=A0t ---Ramp input signal 3) parabolic input signal 2. steady-state error only caused by the disturbance signals 3.3.3 Approaches to reduce the steady-state error Solution: 3.3.4 solving the steady-state error —by the error series method 3.3.4 solving the steady-state error —by the error series method 3.4 Transient response analysis of the linear control system 3.4.1 Time-Domain transient performance criteria of the linear control systems. .1)Rise time or 2) Delay time td : 3) Peak time tp —　only for the first peak 4) Setting time ts : c(∞)·2% c(∞)·5% — error band 5) Maximum overshoot : 　　　 — as a measure of the response quickness of the systems response . — as a measure of the response quickness of the response process . — as a measure of the relative stability of the systems .   The step response of the first-order systems The step signal r(t)=A·1(t) R(s)= The step response 　　　 　　 　　 　 3T — for Δ=c(∞)5% 　　 4T — for Δ =c(∞)2% 　　 　 3.4.3 The step response of the second-order systems What is the second-order system? system described by second-order differential equation