On linearization of nonlinear singularity perturbed systems

This note considers external (feedback) linearization of nonlinear singularly perturbed systems. When more accurate representation of some dynamic systems is taken into account. The necessary condition for linearization may be violated. In these cases the slow manifold theory is shown to provide a practical tool for solving this problem. Furthermore, for a class of systems with fast actuators, direct application of present methodology in the literature is shown to be valid provided the linear equivalent system contains fast dynamics as well.