Comments on "Variable structure control design for uncertain discrete-time systems"

Author

Myszkorowski, Piotr ; Holmberg, Ulf

Author_Institution

Inst. d´´Autom., Ecole Polytech. Federale de Lausanne, Switzerland

Volume

39

Issue

11

fYear

1994

Firstpage

2366

Lastpage

2367

Abstract

States that the main result (Theorem 2) of the above paper (Wang, Wu, and Yang, IEEE Trans. Autom. Contr., vol.39, no.1, p. 99-102, 1994) is incorrect since the convergence of the system state onto the hyperplane S(x)=Cx=0 is guaranteed only in the region where the nonlinear control component is applied (region A). The authors also state that no stability properties can be inferred in a case when only linear equivalent control U/sub eq/ is used (region B) or when the applied control provokes a permanent switching between A and B regions. The latter case is illustrated by a counterexample showing the instability of the control scheme proposed in the paper.<>

Keywords

control system synthesis; discrete time systems; stability; variable structure systems; convergence; hyperplane; instability; linear equivalent control; nonlinear control component; uncertain discrete-time systems; variable structure control design; Automatic control; Control design; Control systems; Convergence; Linear matrix inequalities; Nonlinear control systems; Proportional control; Stability; Uncertainty; Upper bound;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.333796

Filename

333796