A simple criterion for global stabilizability of a class of nonlinear singularly perturbed systems

In this paper, a simple criterion is proposed for the global stabilizability of a class of nonlinear singularly perturbed systems. Our approach is based on the global nonlinear controller canonical transformation and the integral manifold method. A globally stabilizing feedback control is also proposed such that the pre-specified design manifold becomes an exact slow integral manifold and the trajectories of the closed-loop system, starting from any initial states, are steered along the integral manifold to the origin.