Generalized H2H2 output feedback controller design for uncertain discrete-time switched systems via switched Lyapunov functions

This paper investigates the generalized H2H2 control problem for a class of discrete-time switched systems with uncertainties. The uncertain system is modelled as a polytopic type with linear fractional uncertainty in the vertices. By using switched Lyapunov functions, new linear matrix inequalities (LMIs) characterizing the generalized H2H2 performance for discrete-time switched systems are obtained. Based on the result, a generalized H2H2 output feedback controller is developed for uncertain discrete-time switched systems. A numerical example is included to demonstrate the effectiveness of the proposed result.