Dynamical Behaviors of an Euler Discretized Sliding Mode Control Systems

Author

Shaocheng Qu ; Xiaohua Xia ; Jiangfeng Zhang

Author_Institution

Dept. of Electron. & Inf. Eng., Central China Normal Univ., Wuhan, China

Volume

59

Issue

9

fYear

2014

fDate

Sept. 2014

Firstpage

2525

Lastpage

2529

Abstract

The dynamical behaviors of an Euler discretized sliding mode control (SMC) systems based on equivalent control strategy are studied. A periodic-2 orbit in steady state is found for the switching function of the Euler discretized SMC systems. The time steps for the switching function to converge toward the periodic-2 orbit are obtained. When the discretized SMC system is stable, it further shows that the system states of the SMC systems will also enter into some periodic-2 orbits, and these periodic-2 orbits are characterized by explicit analytic expressions. Finally, simulation examples are given to illustrate the theoretical results.

Keywords

switching functions; time-varying systems; variable structure systems; Euler discretized SMC systems; Euler discretized sliding mode control systems; dynamical behaviors; equivalent control strategy; periodic-2 orbit; switching function; Manifolds; Orbits; Sliding mode control; Steady-state; Switches; Trajectory; Euler discretization; periodic orbits; sliding mode control;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2014.2308620

Filename

6748852