Robust pole assignment via dependently structured perturbations using real stability radii

Author

Chang, Yeong-Hwa ; Wise, Gary L.

Author_Institution

Dept. of Electr. Eng., Chung Cheng Inst. of Technol., Taoyuan, Taiwan

Volume

4

fYear

1995

fDate

13-15 Dec 1995

Firstpage

3690

Abstract

In this paper, linear time invariant systems with state space representation subject to perturbations are considered. The perturbations of concern are assumed to be time invariant with some given structures. Based on real stability radii, we present various stability robustness criteria such that all the eigenvalues of the perturbed systems are kept in a specified region, a wedge or a disk. We also propose a convergent algorithm to improve the stability bounds. Examples illustrate that less conservative bounds can be obtained. Both the cases in continuous time and discrete time systems are discussed

Keywords

continuous time systems; convergence of numerical methods; discrete time systems; eigenvalues and eigenfunctions; iterative methods; linear systems; perturbation techniques; pole assignment; stability; stability criteria; state-space methods; continuous time systems; convergent algorithm; discrete time systems; eigenvalues; linear time invariant systems; pole assignment; real stability radius; robustness; stability bounds; stability criteria; state space representation; structured perturbations; Discrete time systems; Eigenvalues and eigenfunctions; Equations; Frequency domain analysis; Lyapunov method; Robust stability; Space technology; Stability criteria; State-space methods; Time invariant systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1995., Proceedings of the 34th IEEE Conference on

Conference_Location

New Orleans, LA

ISSN

0191-2216

Print_ISBN

0-7803-2685-7

Type

conf

DOI

10.1109/CDC.1995.479166

Filename

479166