On sliding mode control of a class of singularly perturbed systems under sensor noise

Since singularly perturbed system has many benefits such that the order of system can be reduced, there have been many researches about singularly perturbed system. On the other hand, sensor noise is frequently encountered phenomenon in many practical systems. Although there have been many researches considering sensor noise, as of now there have not been any researches which guarantee arbitrarily small ultimate bound of states of singularly perturbed system. In this note, we propose a novel sliding mode control with output feedback which guarantees arbitrarily small ultimate bound.