Discrete-Time Modeling and Stability Analysis of Periodic Orbits With Sliding for Switched Linear Systems

被引：21

作者：

Zhao, Yibo ^{[1
]}

Feng, Jiuchao ^{[1
]}

Tse, Chi K. ^{[2
]}

机构：

[1] S China Univ Technol, Sch Elect & Informat Engn, Guangzhou 510641, Guangdong, Peoples R China

[2] Hong Kong Polytech Univ, Elect & Informat Engn Dept, Hong Kong, Hong Kong, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2010年 / 57卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Discrete-time mapping; sliding; stability; switched linear systems (SLSs); RELAY FEEDBACK-SYSTEMS; BIFURCATION-ANALYSIS; NONLINEAR-SYSTEMS; DYNAMICAL-SYSTEMS; OSCILLATIONS; CONVERTERS; CHAOS;

D O I：

10.1109/TCSI.2010.2050230

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper establishes a discrete-time model and presents an exact method of stability analysis for periodic orbits containing a segment of sliding orbit for switched linear systems. Sliding dynamical equations are obtained by using Utkin's equivalent control method. Sliding mapping and impact mapping are obtained by solving the respective differential equations. A generalized discrete-time mapping for a cycle is derived for three operating scenarios. The coordinates of the periodic orbit points, inflow and outflow sliding regions, and the corresponding Jacobians are obtained. Theoretical analysis and simulation results for a third-order relay-feedback system and a second-order autonomous oscillating circuit are presented to illustrate the proposed model and method.

引用

页码：2948 / 2955

页数：8

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