Robust stability and performance analysis for linear dynamic systems

Author

Bernstein, Dennis S. ; Haddad, Wassim M.

Author_Institution

Harris Corp., Melbourne, FL, USA

Volume

34

Issue

7

fYear

1989

fDate

7/1/1989 12:00:00 AM

Firstpage

751

Lastpage

758

Abstract

In a recent paper K. Zhou and P.P. Khargonekar (ibid., vol.AC-32, pp.621-623, 1987) obtained sufficient conditions for robust stability over specified sets of matrix perturbations. These results are here extended to include performance bounds. Performance is defined as the worst-case expected value of a quadratic functional involving the state variables when the system is subjected to white noise disturbances. The results are illustrated by considering the gain margin of both an LQG controller and a robustified design obtained by D.S. Bernstein and S.W. Greeley (1986) for J.C. Doyle´s examples

Keywords

linear systems; optimal control; stability; LQG controller; dynamic systems; gain margin; linear systems; matrix perturbations; optimal control; performance analysis; performance bounds; quadratic functional; robust stability; sufficient conditions; white noise disturbances; worst-case expected value; Aerodynamics; Aerospace engineering; Control system synthesis; Degradation; Equations; Performance analysis; Robust control; Robust stability; Robustness; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.29405

Filename

29405