L2-gain control for discrete-time switched nonlinear control systems

This paper considers the design of state feedback L₂-gain controllers for discrete-time switched nonlinear control systems under arbitrary switching. A discrete-time common control storage function approach is developed for deriving sufficient conditions for the existence of globally uniformly L₂-gain controllers. Moreover, for both regular case and singular case, explicit formulas for constructing L₂-gain controllers are presented.