Global stabilization of a class of switched cascade nonlinear systems

In this paper, the problem of the global stabilization for a class of switched cascade nonlinear systems is concerned, whose subsystems are not assumed to be asymptotically stabilizable. Using the convex combination method and the gainscale factor method, we construct a switching law and design state-feedback controller of individual subsystems to guarantee asymptotic stability of the closed-loop switched nonlinear system. Finally, a simulation example is given to demonstrate the feasibility and effectiveness of the proposed design techniques.