Title :
Combination of invariant sets as a tool for stabilization
Author :
Fragopoulos, Dimosthenis ; De Wit, Carlos Canudas
Author_Institution :
Lab. d´´Autom. de Grenoble, ENSIEG, Sain Martin d´´Heres, France
Abstract :
The stability and stabilization of a class of linear time-varying systems is studied. The class of systems considered is a linear time-varying combination of linear time-invariant systems. Two classes of time varying combinations are considered: a `persistently exciting´ one and a switched one. The concept of de-multiplexed controls is also introduced in relation to the switching case. Ideas from invariant sets and Lyapunov theory are used for the analysis while the results are given in terms of LMIs
Keywords :
Lyapunov methods; asymptotic stability; linear systems; matrix algebra; observers; set theory; time-varying systems; LMIs; Lyapunov theory; closed loop systems; invariant sets; linear matrix inequalities; linear time-invariant systems; linear time-varying systems; persistent excitation; stabilization tools; switched functions; Bismuth; Control systems; Linear systems; Multiplexing; Observers; Sensor systems; Stability; State estimation; Time measurement; Time varying systems;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657922
