Stabilization of LTI systems with planar anti-stable dynamics using saturated linear feedback

Author

Hu, Tingshu ; Qiu, Li ; Lin, Zongli

Author_Institution

Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada

Volume

1

fYear

1998

fDate

1998

Firstpage

389

Abstract

In this paper, we first study the stabilization of an LTI anti-stable planar system with a saturated linear state feedback. We show that the domain of attraction of such a system under any saturated linear stabilizing feedback can be obtained easily by simulating the time-reversed closed-loop system. We then show that a saturated linear state feedback can be designed for such a system so that the equilibrium of the closed-loop system has a domain of attraction that is arbitrarily close to the null controllable region. Finally we present an extension of this result to general LTI systems with planar anti-stable dynamics

Keywords

closed loop systems; control nonlinearities; control system synthesis; controllability; linear systems; stability; state feedback; LTI system stabilization; attraction domain; closed-loop system equilibrium; controllable region; planar anti-stable dynamics; saturated linear state feedback; time-reversed closed-loop system simulation; Closed loop systems; Control systems; Controllability; Level set; Linear feedback control systems; Linear systems; Performance gain; State feedback; Switches;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1998. Proceedings of the 37th IEEE Conference on

Conference_Location

Tampa, FL

ISSN

0191-2216

Print_ISBN

0-7803-4394-8

Type

conf

DOI

10.1109/CDC.1998.760706

Filename

760706