On variable structure output feedback controllers

Author

Kwan, C.M.

Author_Institution

Intelligent Autom. Inc., Rockville, MD, USA

Volume

41

Issue

11

fYear

1996

fDate

11/1/1996 12:00:00 AM

Firstpage

1691

Lastpage

1693

Abstract

In a recent work by Zak-Hui (1993), a sliding-mode controller for MIMO systems using static output feedback was proposed. Very nice geometric conditions for how to design sliding surfaces were given. However, there are two restrictive assumptions in it. One is that the uncertainties in the system must be bounded by a known function of outputs which excludes some possible uncertainties in the A matrix if the system is described by the triple (A, B, C). The other one requires a matrix equality to be held which may also be very difficult to satisfy in many systems. In this paper, we propose a modification of the sliding mode controller for a class of single-input/single-output (SISO) systems which can eliminate the above-mentioned limitations and, under certain conditions, guarantee global closed-loop stability. Hence the range of applicability of Zak-Hui´s method can be greatly broadened

Keywords

closed loop systems; feedback; linear systems; matrix algebra; stability; variable structure systems; SISO systems; closed-loop systems; global stability; linear systems; matrix equality; output feedback controllers; sliding surfaces; sliding-mode controller; variable structure systems; Automatic control; Control systems; H infinity control; Output feedback; Polynomials; Robustness; Sliding mode control; Stability; Testing; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.544012

Filename

544012