Guaranteed cost control for rational parameter-dependent discrete-time systems

Author

Trofino, Alexandre ; de Souza, Carlos E.

Author_Institution

Dept. of Autom. & Syst., Univ. Fed. de Santa Catarina, Florianopolis, Brazil

Volume

2

fYear

2002

fDate

10-13 Dec. 2002

Firstpage

1870

Abstract

Presents an LMI method for designing static output feedback controllers with a guaranteed H₂ performance for a class of discrete-time linear systems with either rational or polynomial parameter dependence. The parameters and their rate of variation are assumed to be bounded by a given polytope. Stability as well as an H₂ performance bound are ensured via a rational parameter-dependent Lyapunov function. The method can be used to design robust controllers, linear parameter varying controllers, and non-fragile controllers with prescribed ranges of errors that can be tolerated in the implementation of the designed controller gains. An extension of the proposed result to the case where the controller gains are required to satisfy certain structure constraints, such as in decentralized control, is also discussed.

Keywords

control system synthesis; discrete time systems; feedback; linear matrix inequalities; robust control; LMI method; Lyapunov function; decentralized control; discrete-time linear systems; guaranteed H₂ performance; guaranteed cost control; linear parameter varying controllers; nonfragile controllers; rational parameter-dependent discrete-time systems; robust controllers; static output feedback controllers; Control systems; Costs; Design methodology; Linear feedback control systems; Linear systems; Lyapunov method; Output feedback; Polynomials; Robust control; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2002, Proceedings of the 41st IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7516-5

Type

conf

DOI

10.1109/CDC.2002.1184797

Filename

1184797