Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 58, Issue 4, Pages 994-1001Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2012.2218146
Keywords
Dwell time; linear switched systems; polytopic uncertainties; state-dependent switching; switching law design
Ask authors/readers for more resources
A state-dependent switching law that obeys a dwell time constraint and guarantees the stability of a switched linear system is designed. Sufficient conditions are obtained for the stability of the switched systems when the switching law is applied in presence of polytopic type parameter uncertainty. A Lyapunov function, in quadratic form, is assigned to each subsystem such that it is non-increasing at the switching instants. During the dwell time, this function varies piecewise linearly in time. After the dwell, the system switches if the switching results in a decrease in the value of the LF. The method proposed is also applicable to robust stabilization via state-feedback. It is further extended to guarantee a bound on the L-2-gain of the switching system; it is also used in deriving state-feedback control law that robustly achieves a prescribed L-2-gain bound.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available