Quadratic stabilization of uncertain linear time-varying systems

Author

Chen, Wanyi ; Tu, Fengsheng

Author_Institution

Dept. of Math., Nankai Univ., Tianjin, China

Volume

3

fYear

1996

fDate

11-13 Dec 1996

Firstpage

3362

Abstract

This paper is concerned with the robust stabilization of uncertain time-varying linear systems with norm bounded perturbations in the state and input matrices. A comparison is given for the performance of linear nondynamic state feedback law with that of linear dynamic state feedback law. We also present a characterization in term of differential Riccati equation for quadratic stabilizability. All these results generalize current ones for uncertain linear systems with the nominal time-invariant and for linear time-varying systems with no uncertainty

Keywords

Riccati equations; matrix algebra; nonlinear differential equations; stability; stability criteria; state feedback; time-varying systems; uncertain systems; differential Riccati equation; input matrix; linear dynamic state feedback law; linear nondynamic state feedback law; norm bounded perturbations; quadratic stabilization; robust stabilization; state matrix; uncertain linear systems; uncertain linear time-varying systems; Differential equations; Linear systems; Mathematics; Riccati equations; Robust control; Robustness; State feedback; Symmetric matrices; Time varying systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.573674

Filename

573674