Synthesis of uniformly ultimate boundedness switching laws for discrete-time uncertain switched linear systems

Author

Lin, Hai ; Antsaklis, Panos J.

Author_Institution

Dept. of Electr. Eng., Notre Dame Univ., IN, USA

Volume

5

fYear

2003

fDate

9-12 Dec. 2003

Firstpage

4806

Abstract

In this paper, discrete-time switched linear systems affected by both parameter variations and exterior disturbances are considered. The problem of synthesis of switching control laws, which assure that the system state is ultimately bounded within a given compact set containing the origin with an assigned rate of convergence, is investigated. The method is based on set-induced Lyapunov functions. Based on these Lyapunov functions, we compose a global Lyapunov function which guarantees ultimate boundedness for the switched system. The switching laws are characterized by computing conic partitions of the state space.

Keywords

Lyapunov methods; convergence; discrete time systems; linear systems; state-space methods; time-varying systems; uncertain systems; Lyapunov functions; convergence; discrete time switched linear systems; parameter variations; state space partition; switching control law; uncertain switched linear systems; Control system synthesis; Control systems; Convergence; Difference equations; Linear systems; Lyapunov method; Nonlinear control systems; Robustness; Stability analysis; Switched systems;

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.2003.1272348

Filename

1272348