Dynamics of Discrete-Time Sliding-Mode-Control Uncertain Systems With a Disturbance Compensator

Author

Shaocheng Qu ; Xiaohua Xia ; Jiangfeng Zhang

Author_Institution

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

Volume

61

Issue

7

fYear

2014

fDate

41821

Firstpage

3502

Lastpage

3510

Abstract

In this paper, dynamical behaviors of the discrete-time sliding-mode-control (DSMC) uncertain systems are studied. First, a discrete reaching law with a disturbance compensator is presented, and a sliding-mode controller is designed by using the proposed reaching law. Second, the time steps for the system trajectories to converge to the switching manifold are found. Then, a quasi-sliding-mode domain (QSMD) of the DSMC uncertain systems is obtained, and the system dynamics of the DSMC systems in QSMD are described. Finally, numerical simulations are given to demonstrate the effectiveness of the proposed strategies.

Keywords

compensation; control system synthesis; discrete time systems; time-varying systems; uncertain systems; variable structure systems; DSMC uncertain system dynamical behaviors; QSMD; discrete reaching law; discrete-time sliding-mode-control uncertain system dynamics; disturbance compensator; numerical simulations; quasisliding-mode domain; sliding-mode controller; switching manifold; system dynamics; system trajectories; Closed loop systems; Manifolds; Switches; Trajectory; Uncertain systems; Uncertainty; Discrete-time uncertain systems; disturbance compensator (DSMC); dynamics; reaching law; sliding-mode control (SMC);

fLanguage

English

Journal_Title

Industrial Electronics, IEEE Transactions on

Publisher

ieee

ISSN

0278-0046

Type

jour

DOI

10.1109/TIE.2013.2279369

Filename

6584727