Title :
An LMI approach to ℒ;2 gain analysis of uncertain switched systems
Author :
Xie, Dongmei ; Wang, Long
Author_Institution :
Dept. of Mech., Peking Univ., Beijing, China
Abstract :
This paper investigates the L;2 gain analysis of uncertain discrete-time switched systems under arbitrary switching by linear matrix inequality (LMI) approach together with switched Lyapunov function (SLF) method. The L;2 gain analysis is to characterize conditions under which an uncertain switched system is uniformly quadratically stable (UQS) with an L;2 gain smaller than a constant γ for all admissible uncertainties. All results in this paper are expressed in terms of LMIs, which can be easily tested with efficient LMI algorithms.
Keywords :
Lyapunov matrix equations; control system synthesis; discrete time systems; linear matrix inequalities; uncertain systems; ℒ:2 gain analysis; LMI; SLF; UQS; control system synthesis; linear matrix inequality; switched Lyapunov function; uncertain discrete time switched systems; uniformly quadratically stable; Bismuth; Control systems; Linear matrix inequalities; Lyapunov method; Power system modeling; Robust control; Robust stability; Switched systems; Switches; Uncertainty;
Conference_Titel :
Systems, Man and Cybernetics, 2003. IEEE International Conference on
Print_ISBN :
0-7803-7952-7
DOI :
10.1109/ICSMC.2003.1244223
