Observer-based robust H-infinity switched control for uncertain linear singular system

This paper is concerned to design a new switched controller in order to deal with the H_∞ control problem for a class of uncertain singular systems with norm-bounded parameter uncertainties. First considering the unavoidable state jumps at the switching instants, a sufficient condition is obtained for the existence of the state-dependent switching law stabilizing the switched system. This sufficient condition has low conservatism due to using the Lyapunov-Metzler inequality approach. Second considering the states are unmeasured, based on the derived results, an observer-based robust H_∞ switched controller of uncertain singular systems is proposed. Finally, numerical examples are given to demonstrate the effectiveness of the proposed results.