Interval observers design for singularly perturbed systems

Abstract

This paper deals with interval observers design for two-time singularly perturbed systems. The full-order system is firstly decoupled into slow and fast subsystems. Then, using the cooperativity theory, an interval observer is designed for the slow subsystem assuming that the singular perturbed parameter is uncertain. This decoupling leads to two observers that estimate the lower and upper bounds for state values. A numerical example shows the efficiency of the proposed technique.