西安理工大学自动化与信息工程学院自动控制理论Chapter8 Discrete System.pptVIP

Chapter 8 Discrete (Sampling) System Chapter 8 Discrete (Sampling) System Chapter 8 Discrete (Sampling) System Chapter 8 Discrete (Sampling) System 8.4 Time-domain analysis of the sampling systems Chapter 8 Discrete (Sampling) System Chapter 8 Discrete (Sampling) System Chapter 8 Discrete (Sampling) System 8.5 The root locus of the sampling control systems The plotting procedure of the root loci of the sampling systems are the same as that we introduced in chapter 4. But the analysis of the root loci of the sampling systems is different from that we discussed in chapter 4 (imaginary axis of the s-plane ←→ the unit circle of the z-plane). 8.6 The frequency response of the sampling control systems The analysis and design methods of the frequency response of the sampling systems are the same as that we discussed respect-ively in chapter 5 , chapter 6, only making: Here: v — the counterfeit frequency 8.7 The design of the “least-clap” sampling systems The transition process of the sampling control systems can be finished in the minimum sampling periods—the “least-clap” systems. For the system shown in Fig.8.6.1. We have: 8.7.1 design of D(z) r － G (s) c D(z) Fig.8.6.1 e 8.7.1 design of D(z) 8.7.1 design of D(z) Proof: The responses of the “least-clap” System are shown in Fig.8.6.2. Fig.8.6.2 1 c*(t) t T 2T c*(t) t T 2T 3T c*(t) t 3T 2T T * 8.1 Introduction 8.2 Z-transform 8.3 Mathematical describing of the sampling systems 8.4 Time-domain analysis of the sampling systems 8.5 The root locus of the sampling control systems 8.6 The frequency response of the sampling control systems 8.7 The design of the “least-clap” sampling systems Make a analog signal to be a discrete signal shown as in Fig.8.1 . t x(t) 0 t1 t2 t3 t4 t5 t6 Fig.8.1 signal sampling x(t) x*(t) x(t) —analog signal . x*(t) —discrete signal . 8.1.2 Ideal sampling switch —sampler Sampler —the device which fulfill the sampling. Another name —the sa