Robust regulation in the presence of norm-bounded uncertainty

Author

Abedor, J. ; Nagpal, K. ; Khargonekar, P.P. ; Poolla, K.

Author_Institution

Integrated Syst. Inc., Santa Clara, CA, USA

Volume

40

Issue

1

fYear

1995

fDate

1/1/1995 12:00:00 AM

Firstpage

147

Lastpage

153

Abstract

We consider robust regulation (against steps and sinusoids) in the presence of unstructured uncertainty. The unstructured uncertainty is norm bounded by a constant that is given a priori. This problem is equivalent to a certain multiobjective problem where one objective is robust regulation and the other is the standard objective of H_∞ suboptimal control. It is shown that a solution to this problem exists if and only if the standard H_∞ problem admits a solution and certain matrix inequalities are satisfied. These solvability conditions are readily computable. Controller synthesis is also addressed

Keywords

H^∞ control; control system synthesis; matrix algebra; robust control; suboptimal control; uncertain systems; H_∞ suboptimal control; control synthesis; matrix inequalities; multiobjective problem; norm-bounded uncertainty; robust control; solvability conditions; unstructured uncertainty; Automatic control; Circuits; Control systems; Equations; Linear systems; Polynomials; Robust control; Robustness; State feedback; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.362881

Filename

362881