DocumentCode
1727017
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
Volume
2
fYear
1999
fDate
6/21/1905 12:00:00 AM
Firstpage
1339
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location
Phoenix, AZ
ISSN
0191-2216
Print_ISBN
0-7803-5250-5
Type
conf
DOI
10.1109/CDC.1999.830131
Filename
830131
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