Stability Analysis and Control Synthesis for a Class of Cascade Switched Nonlinear Systems with Actuator Saturation

This paper considers the stabilization problem for a class of cascade switched nonlinear systems. Each subsystem of the switched nonlinear system studied consists of a linear part and a nonlinear part, and the linear parts are composed of stabilizable and unstabilizable subsections. The actuator saturation is taken into consideration using the convex hull technique. Through constructing the proper Lyapunov functions, sufficient conditions in terms of LMIs for the solvability of the stabilization problem are presented. A state feedback controller and the dwell-time switching strategy are proposed to guarantee the exponential stability of the resulting closed-loop system. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed results.