Comments on "On the stability of discrete-time sliding mode control systems" [with reply]

Author

Kotta, Ulle ; Sarpturk, S.Z. ; Istefanopulos, Y.

Author_Institution

Dept. of Control Syst., Inst. of Cybernetics, Estonian Acad. of Sci., Tallinn, USSR

Volume

34

Issue

9

fYear

1989

Firstpage

1021

Lastpage

1022

Abstract

In the above paper by S.Z. Sarpturk and Y. Istefanopulos (see IEEE Trans. Automat. Contr., vol.AC-32, p.930-2 (1987)), stability conditions for discrete-time sliding mode control systems are presented, which require the stabilizing control to be upper and lower bounded. The present author shows that these bounds depend on the distance of the system state from the sliding manifold and that they converge as the state approaches the manifold. Sarpturk and Istefanopulos agree that the bounds of the discrete-time control guaranteeing the stability of the sliding mode system depend also on the distance of the state from the sliding manifold. Therefore, in order to guarantee the stability of the sliding mode system, the controls must be chosen so as to satisfy the convergence and sliding bounds derived in the paper.<>

Keywords

discrete time systems; stability; variable structure systems; convergence; discrete time systems; lower bound; sliding bounds; sliding manifold; sliding mode control systems; stability; upper bound; Automatic control; Computational modeling; Computer aided software engineering; Control systems; Filtering; Sampling methods; Sliding mode control; Stability; Very large scale integration; Voting;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.35824

Filename

35824