Global asymptotic stability controller of uncertain nonholonomic systems

This paper proposes a global asymptotic stability controller for a class of nonholonomic systems with nonlinear uncertainties. Different from the existing results, we construct a new nonlinear switching law employing the full states feedback, which renders the origin to be a solution of the closed-loop system. With this switching control scheme, the finite time escape phenomenon is avoided. We apply the definition of Lyapunov stability to the stability analysis of the discontinuous closed-loop system, and achieve the global asymptotic stability for the system in our class. The simulation results testify to the effectiveness and the robust features of the developed control approach.