Affordable Access

deepdyve-link
Publisher Website

Design of static output feedback controller for uncertain systems

Authors
  • Kar, I.N.
Type
Published Article
Journal
Automatica
Publisher
Elsevier
Publication Date
Jan 01, 1999
Accepted Date
Jul 31, 1998
Volume
35
Issue
1
Pages
169–175
Identifiers
DOI: 10.1016/S0005-1098(98)00170-8
Source
Elsevier
Keywords
License
Unknown

Abstract

This paper considers the problem of designing a single static output feedback stabilizing controller for a finite set of linear systems. For this purpose, a set of square (equal number of inputs and outputs) minimum phase systems is considered. Using the notions of quadratic stabilizability, the existence of output feedback controller is derived in terms of the solvability of a set of matrix inequalities. Then the existence of the solution of such inequalities are derived for special class of systems. It is proved that a set of partially commutative or partially normal systems are stabilizable by a single static output feedback controller. These classes of systems are shown to be different from the well-known matched uncertain systems and considered to be new classes of systems. An algorithm is also presented to compute the controller gain.

Report this publication

Statistics

Seen <100 times