Title :
On enlarging the basin of attraction for linear systems under saturated linear feedback
Author :
Hu, Tingshu ; Lin, Zongli
Author_Institution :
Dept. of Electr. Eng., Virginia Univ., Charlottesville, VA, USA
Abstract :
We consider the problem of enlarging the basin of attraction for a linear system under saturated linear feedback. An LMI based approach to this problem is developed. For discrete-time system, this approach is enhanced by the lifting technique, which leads to further enlargement of the basin of attraction. The low convergence rate inherent with the large invariant set (hence, the large basin of attraction) is prevented by the construction of a sequence of invariant ellipsoids nested within the large one obtained
Keywords :
closed loop systems; convergence; discrete time systems; feedback; linear systems; matrix algebra; LMI; attraction basin; closed loop systems; convergence; discrete-time system; lifting technique; linear matrix inequality; linear systems; saturated linear feedback; Convergence; Ear; Ellipsoids; Level set; Limit-cycles; Linear systems; Lyapunov method; State estimation; State feedback;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.879504
