A new approach to robust control of hybrid systems over infinite time

Author

Savkin, Andrey V. ; Evans, Robin J.

Author_Institution

Dept. of Electr. & Electron. Eng., Univ. of Western Australia, Nedlands, WA, Australia

Volume

43

Issue

9

fYear

1998

fDate

9/1/1998 12:00:00 AM

Firstpage

1292

Lastpage

1296

Abstract

The paper presents a new approach to output feedback robust control synthesis problems for hybrid dynamical systems. The hybrid system under consideration is a composite of a continuous plant and a discrete-event controller. An output feedback H^∞-control problem on an infinite time interval is considered. The main results are given in terms of the existence of suitable solutions to a dynamic programming equation and a Riccati algebraic equation of the H^∞-filtering type. These results show a connection between the theories of hybrid dynamical systems and robust and nonlinear control

Keywords

H^∞ control; Riccati equations; control system synthesis; discrete event systems; feedback; robust control; H^∞-filtering; Riccati algebraic equation; continuous plant; discrete-event controller; dynamic programming equation; hybrid dynamical systems; infinite time interval; nonlinear control; output feedback H^∞-control problem; output feedback robust control synthesis; Control systems; Control theory; Dynamic programming; Nonlinear equations; Optimal control; Output feedback; Performance analysis; Riccati equations; Robust control; Switches;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.718620

Filename

718620