Homogeneous Stabilizer by State Feedback for Switched Nonlinear Systems Using Multiple Lyapunov Functions’ Approach

Abstract EN

This paper investigates the problem of global stabilization for a class of switched nonlinear systems using multiple Lyapunov functions (MLFs).

The restrictions on nonlinearities are neither linear growth condition nor Lipschitz condition with respect to system states.

Based on adding a power integrator technique, we design homogeneous state feedback controllers of all subsystems and a switching law to guarantee that the closed-loop system is globally asymptotically stable.

Finally, an example is given to illustrate the validity of the proposed control scheme.