Robust degree of exponential stability in polynomially uncertain overlapping control systems

Author

Aghdam, Amir G.

Author_Institution

Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, QC, Canada

fYear

2010

fDate

15-17 Dec. 2010

Firstpage

6908

Lastpage

6913

Abstract

In this paper, necessary and sufficient conditions are provided for the existence of a structurally constrained controller in order to achieve a desired rate of exponential stability. It is assumed that a finite-dimensional linear time-invariant (LTI) system with uncertain parameters which belong to a known domain is given. The objective is to check if the poles of the closed-loop system can be placed in a desired region in the complex plane, for all values of the uncertain parameters in the known domain of uncertainty. The problem is investigated in both cases of LTI and linear time-varying (LTV) control laws. The results can be very useful in the design of overlapping control systems, when it is desired to maintain a prescribed transient performance for all permissible values of the uncertain parameters. The efficacy of the proposed technique is demonstrated by an example.

Keywords

asymptotic stability; closed loop systems; linear systems; multidimensional systems; polynomials; time-varying systems; uncertain systems; closed-loop system; exponential stability; finite-dimensional linear time-invariant system; linear time-varying control law; poles; polynomially uncertain overlapping control system; structurally constrained controller; Distributed control; Numerical stability; Power system stability; Robustness; Stability analysis; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2010 49th IEEE Conference on

Conference_Location

Atlanta, GA

ISSN

0743-1546

Print_ISBN

978-1-4244-7745-6

Type

conf

DOI

10.1109/CDC.2010.5718201

Filename

5718201