Sliding mode control for singularly perturbed system

When dealing with large scale systems, the dimension and ill condition of the state matrix motivate the use of model order reduction methods. Singular perturbation theory is found to be a good approach to obtain a reduced order model. This article presents the use of a single sliding mode controller designed for the slow component of singular perturbed system. The stability analysis is investigated using the Lyapunov approach. We provide sufficient condition for asymptotic stability of the full order singular perturbed system.