Feedback linearisation of nonlinear singularly perturbed systems with non-separate slow-fast dynamics

Abstract

Using feedback linearisation, the authors propose the stabilising controller for nonlinear singularly perturbed system with non-separate slow-fast dynamics. Specifically, the authors suggest a novel epsilon-independent diffeomorphism which linearises the slow model and the fast model separately. Since the slow and fast models are linear, the whole system can be easily stabilised by making the slow and the fast model Hurwitz.