Title :
On semi-global stabilizability of anti-stable systems by saturated linear feedback
Author :
Hu, Tingshu ; Lin, Zongli
Author_Institution :
Dept. of Electr. & Comput. Eng., Virginia Univ., Charlottesville, VA, USA
Abstract :
It was recently established that a second-order anti-stable linear system can be semi-globally stabilized on its controllable region by saturated linear feedback and a higher order linear system with two or more anti-stable poles can be semi-globally stabilized on its controllable region by more general bounded feedback laws. We will show in this paper that a system with three real-valued anti-stable poles cannot be semi-globally stabilized on its controllable region by the simple saturated linear feedback.
Keywords :
controllability; feedback; linear systems; poles and zeros; stability; anti-stable systems; bounded feedback laws; controllable region; high-order linear system; real-valued anti-stable poles; saturated linear feedback; second-order anti-stable linear system; semi-global stabilizability; Asymptotic stability; Control systems; History; Hydraulic actuators; Linear feedback control systems; Linear systems; Negative feedback; Riccati equations; State feedback; State-space methods;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1023186
