Title :
Stabilization of second-order LTI switched systems
Author :
Xu, Xuping ; Antsaklis, Panos J.
Author_Institution :
Dept. of Electr. Eng., Notre Dame Univ., IN, USA
fDate :
6/21/1905 12:00:00 AM
Abstract :
The problem of asymptotically stabilizing switched systems consisting of second-order LTI subsystems is studied and solved. In a previous paper (1999), the stabilization problem of switched systems consisting of subsystems with unstable foci was addressed. This paper extends the method therein to the stabilization of switched systems consisting of general second-order LTI subsystems. Necessary and sufficient conditions for stabilizability for such systems are obtained. Stabilizing switching control laws are also derived if the system is asymptotically stabilizable. Examples throughout the paper illustrate the approach and results
Keywords :
asymptotic stability; control system synthesis; linear systems; necessary and sufficient conditions; second-order LTI switched systems; stabilizability; Bismuth; Clocks; Control systems; Eigenvalues and eigenfunctions; Lyapunov method; Mathematics; Stability analysis; Sufficient conditions; Switched systems;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.830131
