Robust linear dynamic output feedback controllers for a class of nonlinear systems

Author

Coutinho, D.F. ; Trofino, A. ; Barbosa, K.A.

Author_Institution

Dept. Electr. Eng., PUCRS, Porto Alegre, Brazil

Volume

1

fYear

2003

fDate

9-12 Dec. 2003

Firstpage

356

Abstract

This paper proposes a convex approach for designing linear dynamic output feedback controllers for a class of uncertain nonlinear systems. The nonlinear system is described by means of differential-algebraic equations, where the system matrices are allowed to be rational functions of the state and uncertain parameters. Using polynomial Lyapunov functions, we give sufficient conditions in terms of linear matrix inequalities that locally stabilizes the origin of the closed-loop system while providing an estimate of its domain of attraction.

Keywords

Lyapunov matrix equations; closed loop systems; control system synthesis; differential equations; feedback; linear matrix inequalities; nonlinear control systems; polynomial matrices; rational functions; robust control; uncertain systems; algebraic equations; closed loop systems; convex method; differential equations; linear dynamic controller design; linear matrix inequalities; nonlinear control systems; output feedback; polynomial Lyapunov functions; rational functions; robust control; sufficient conditions; system matrices; uncertain systems; Control systems; Differential equations; Linear feedback control systems; Linear matrix inequalities; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Output feedback; Robust control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2003. Proceedings. 42nd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7924-1

Type

conf

DOI

10.1109/CDC.2003.1272587

Filename

1272587