On the discrete-time bounded real lemma for descriptor systems

Author

Hsiung, Kan-Lin

Author_Institution

Inst. of Math., Nat. Tsing Hua Univ., Hsinchu, Taiwan

Volume

1

fYear

1998

fDate

1998

Firstpage

289

Abstract

This paper deals with the discrete-time bounded real lemma for descriptor systems. First, we derive the generalised discrete Lyapunov inequality, which is in the form of nonstrict linear matrix inequalities (LMIs), in order to check simultaneously the regularity, impulse immunity, and stability of descriptor systems. Based on this inequality, we obtain a bounded real lemma in nonstrict LMIs, which characterizes properties of descriptor systems, including regularity, impulse-free property, stability, and H_∞ norm condition. The proofs are purely algebraic and they are therefore simple and definite

Keywords

H^∞ control; Lyapunov methods; discrete time systems; linear systems; matrix algebra; stability; H_∞ control; Lyapunov inequality; bounded real lemma; descriptor systems; discrete time systems; impulse immunity; linear matrix inequality; regularity; stability; Bonding; Circuit synthesis; Control systems; Eigenvalues and eigenfunctions; Linear circuits; Linear matrix inequalities; Mathematics; Polynomials; Stability; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1998. Proceedings of the 37th IEEE Conference on

Conference_Location

Tampa, FL

ISSN

0191-2216

Print_ISBN

0-7803-4394-8

Type

conf

DOI

10.1109/CDC.1998.760686

Filename

760686