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(1).pptVIP

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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(1).ppt

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Chapter 3 Time-Domain Analysis of the linear systems 3.1 Introduction 3.1 Introduction 3. Typical test input signal 1) Step input signal 3.1 Introduction 3) Parabolic input signal 3.1 Introduction 5) Sinusoidal signal 3.1 Introduction 1. For the typical input signals 3.1 Introduction 3.1.5 The transient performance specifications of a control system 3.1 Introduction 1) Rise time tr 3.1 Introduction 3) Percent overshoot : 3.2 Stability analysis of the linear systems (Stability: the most important performance for a control system) 3.2 Stability analysis of the linear systems The sufficient and necessary conditions of the stability for a linear system 3.2.3 Routh Criterion for a control system : 3.2 Stability analysis of the linear systems We have: 3.2 Stability analysis of the linear systems 3.2 Stability analysis of the linear systems conclusion(Routh Criterion): 3.2 Stability analysis of the linear systems 3.2 Stability analysis of the linear systems 3.2 Stability analysis of the linear systems There are all zero elements in some row of Routh-table. 3.2 Stability analysis of the linear systems Solving the auxiliary equation, we have: 3.3 steady-stable error Analysis of the linear system Connection to next part * * Introduction Stability and Algebraic criteria Analysis of stable error First-order system analysis Second-order system analysis High-order system analysis 1) The system must be stable (stability) —First requirement. 2) The control should be accurate (accuracy). 3) The response should be quick-acting (rapidity). 3.1.1 Basic and macroscopically requirements to design a control system. 3.1.2 Basic assumption conditions for analyzing a linear control system The response of a system could be : zero-state zero-input response response transient steady-state portion portion Assume: