Title :
Stabilization of switched linear systems
Author :
Cheng, Daizhan ; Guo, Lei ; Lin, Yuandan ; Wang, Yuan
Author_Institution :
Inst. of Syst. Sci., Chinese Acad. of Sci., Beijing, China
fDate :
5/1/2005 12:00:00 AM
Abstract :
In this note, we study the stabilization problem of systems that switch among a finite set of controllable linear systems with arbitrary switching frequency. For both cases of known and unknown switching functions, feedback laws are designed to achieve exponential stability. For the later case, a method combining on-line adaptive estimation and feedback stabilization is developed in the controller design.
Keywords :
adaptive estimation; asymptotic stability; control system synthesis; feedback; linear systems; time-varying systems; arbitrary switching frequency; controllable linear systems; exponential stability; feedback laws; feedback stabilization; online adaptive estimation; switched linear system stabilization; switching functions; Adaptive estimation; Control systems; Feedback; Linear systems; Lyapunov method; Stability; Switched systems; Switches; Switching frequency; Systems engineering and theory; Estimation; excitation; stability; stabilization; switched systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2005.846594