Robust non-fragile LQ controllers: the static state feedback case

Authors

Chaouki T. Abdallah
Domenico Famularo
Peter Dorato
Wassim M. Haddad
Ali Jadbabaie

Document Type

Article

Publication Date

1-1-2000

Abstract

This paper describes the synthesis of non-fragile or resilient regulators for linear systems. A general framework for fragility is described using state-space methodologies, and the LQ/H2 static state-feedback problem is examined in detail. We discuss the multiplicative structured uncertainties case, and propose remedies of the fragility problem using an optimization programming framework via matrix inequalities. A special case that leads to a convex optimization framework via linear matrix inequalities (LMIs) will be considered. The benchmark problem is taken as an example to show how special controller gain variations can affect the performance of the closed-loop system.

Publisher

Taylor and Francis

Publication Title

International Journal of Control

ISSN

0020-7721

Volume

73

Issue

2

First Page

159

Last Page

165

DOI

http://dx.doi.org/10.1080/002071700219867

Language (ISO)

English

Sponsorship

Taylor & Francis

Recommended Citation

Abdallah, Chaouki T.; Domenico Famularo; Peter Dorato; Wassim M. Haddad; and Ali Jadbabaie. "Robust non-fragile LQ controllers: the static state feedback case." International Journal of Control , 2 (2000): 159-165. doi:http://dx.doi.org/10.1080/002071700219867.