Robust stabilization of a class of uncertain nonlinear switched systems with delayed control

In this paper, the robust asymptotically stabilization of a class of nonlinear switched systems with delayed control is investigated. First, a new approach to construct the Lyapunov function considering the jump phenomena at switching times is employed. Then under the assumption of convex hull constraints for nonlinear terms, some sufficient conditions are established which guarantee the class of systems is robust asymptotically stabilizable by using receding horizon method. Furthermore a certain delayed controller is designed. Finally, a numerical example is presented to illustrate the feasibility and effectiveness of the results obtained.