The problem of robust
control for a class of uncertain nonlinear switched systems is addressed through hybrid state feedback control strategy, based on multiple Lyapunov function techniquefor all admissible uncertainties. The state feedback control for each each subsystem and switching Laws to guarantee both asymptotically stability of the resulting closed-loop systems and prescribed
gain from disturbance input to controller output are designed. The necessary and sufficient conditions of robust
control for the problem to be solvable is also derived in terms of partial differential inequalities are given. An illustrate example is given to show the effectiveness of the method.