On Linearization of Nonlinear Singularly Perturbed Systems

This paper considers external (feedback) linearization of nonlinear singularly perturbed systems. When more accurate representation of some dynamic systems are taken into account the recessary condition for linearization may be violated. In these circumstances the slow manifold theory is shown to provide a practical tool for circumventing this difficulty. In addition 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.