The sliding mode control methodology for a class of switched linear systems with the immeasurable states is presented. A reduced-order observer is designed, which guarantees the stability of observer error system under arbitrary switching in a common quadratic Lyapunov function framework. Based on the estimated states, a sliding mode control law is synthesized to enforce asymptotic stability for the individual closed-loop modes, and to provide an explicit characterization of the corresponding stability region for each mode. Moreover, a set of switching laws, which are based on the evolution of the estimated states, are then designed to guarantee asymptotic stability of the overall switched closed-loop system. A numerical example is provided to demonstrate the effectiveness of the proposed approaches.
Sliding mode control of switched linear systems based on common Lyapunov function
01.06.2010
545502 byte
Aufsatz (Konferenz)
Elektronische Ressource
Englisch
Common and multiple Lyapunov functions in stability analysis of nonlinear switched systems
British Library Conference Proceedings | 2012
|Common and multiple Lyapunov functions in stability analysis of nonlinear switched systems
American Institute of Physics | 2012
|British Library Online Contents | 2018