Robust Control Design for Multi Variable Singular Perturbation Systems

In this paper the robust control of multi variable singular perturbation systems is studied. In order to robust the control of the system, only the additive modeling error is considered. Based on the above bounds of modeling error and the Nyquist criteria and in order to improve the performance of the system a relation is found to determine the robust controller. The singular perturbation system is decomposed into fast and slow subsystems and the robust controller is designed for reduced order systems. It is explained how to find the new bound to stabilize the system and decrease the sensitivity.