TY - GEN
T1 - Stabilizability and practical stabilizability of continuous-time switched systems
T2 - 2007 American Control Conference, ACC
AU - Xu, Ping
AU - Zhai, Guisheng
AU - He, Shouling
PY - 2007
Y1 - 2007
N2 - There has been increasing interest in the stability analysis and design problems of switched systems during the past two decades. In such problems, it is usually assumed that all subsystems have a common equilibrium. Recently, switched systems without common equilibria have been observed to exhibit similar convergent behavior under appropriate switching laws. Such behavior is called practical stability. In this paper, we report some recent developments on practical stabilization of continuous-time switched systems. Besides formally introducing some practical stabilizability concepts, we delineate the connections and differences between practical and conventional stabilizability. In particular, we show that the study of practical stabilizability not only extends the stability research to more general classes of switched systems, but also makes switching control easier and more practical to implement. Four switching control problems are presented to demonstrate the importance and relevance of practical stabilization.
AB - There has been increasing interest in the stability analysis and design problems of switched systems during the past two decades. In such problems, it is usually assumed that all subsystems have a common equilibrium. Recently, switched systems without common equilibria have been observed to exhibit similar convergent behavior under appropriate switching laws. Such behavior is called practical stability. In this paper, we report some recent developments on practical stabilization of continuous-time switched systems. Besides formally introducing some practical stabilizability concepts, we delineate the connections and differences between practical and conventional stabilizability. In particular, we show that the study of practical stabilizability not only extends the stability research to more general classes of switched systems, but also makes switching control easier and more practical to implement. Four switching control problems are presented to demonstrate the importance and relevance of practical stabilization.
UR - http://www.scopus.com/inward/record.url?scp=46449125956&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=46449125956&partnerID=8YFLogxK
U2 - 10.1109/ACC.2007.4282211
DO - 10.1109/ACC.2007.4282211
M3 - Conference contribution
AN - SCOPUS:46449125956
SN - 1424409888
SN - 9781424409884
T3 - Proceedings of the American Control Conference
SP - 663
EP - 668
BT - Proceedings of the 2007 American Control Conference, ACC
Y2 - 9 July 2007 through 13 July 2007
ER -