A new D-stability criterion of multiparameter singularly perturbed discrete systems

Author

Li, Tzuu-Hseng S. ; Chiou, Juing-Shian

Author_Institution

Dept. of Electr. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan

Volume

49

Issue

8

fYear

2002

fDate

8/1/2002 12:00:00 AM

Firstpage

1226

Lastpage

1230

Abstract

The stability and D-stability problems of the multiparameter singularly perturbed discrete-time systems and its reduced subsystems are explored in this paper. The critical stability criterion of the discrete system is adopted to examine the stability bounds. A three-step algorithm is proposed to determine an upper bound of the norm of the multiparameter vector ε = [ε₁ ε₂ ··· ε_N]^T. A numerical example is given to compare the new results with those in the literature.

Keywords

control system analysis; discrete time systems; matrix algebra; singularly perturbed systems; stability criteria; state-space methods; D-stability criterion; critical stability criterion; multiparameter discrete-time systems; reduced subsystems; singularly perturbed discrete-time systems; stability bound; state-space approach; three-step algorithm; Circuits; Councils; Eigenvalues and eigenfunctions; Equations; Laboratories; Stability criteria; Uncertainty; Upper bound;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/TCSI.2002.801242

Filename

1023028