Title :
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
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;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.760706
