Title :
Feedback stabilization for planar switched linear systems with two subsystems under arbitrary switching
Author :
Yang, Yue ; Xiang, Cheng ; Lee, Tong Heng
Author_Institution :
Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore
Abstract :
In this paper, the feedback stabilization problem of planar switched linear systems with two subsystems under arbitrary switching is investigated. An easily checkable sufficient and necessary condition for quadratic stabilization is derived using the geometric approach. For systems which cannot be quadratically stabilized, a sufficient condition for asymptotical stabilization is also given.
Keywords :
asymptotic stability; feedback; geometry; linear systems; time-varying systems; arbitrary switching; asymptotical stabilization; feedback stabilization; geometric approach; planar switched linear systems; quadratic stabilization; Asymptotic stability; Linear systems; Power system stability; Stability analysis; Switched systems; Switches;
Conference_Titel :
Control and Automation (ICCA), 2011 9th IEEE International Conference on
Conference_Location :
Santiago
Print_ISBN :
978-1-4577-1475-7
DOI :
10.1109/ICCA.2011.6138095