Robust state estimation for singularly perturbed systems

Abstract

This paper deals with the design of interval observers for singularly perturbed linear systems. The fullorder system is firstly decoupled into slow and fast subsystems. Then, using the cooperativity theory, an interval observer is designed for the slow and fast subsystems assuming that the measurement noise and the disturbances are bounded and the singular perturbed parameter is uncertain. This decoupling leads to two observers that estimate the lower and upper bounds for the feasible state domain. A numerical example shows the efficiency of the proposed technique.

Design and Application of an Interval Estimator for Nonlinear Discrete-Time SEIR Epidemic Models

“…Interval estimator techniques can solve such issues [14][15][16][17][18][19][20][21][22]. Based on the monotone system theory (MST), interval estimators are designed to estimate the real states at any time instant and generate a set of acceptable values known as the interval in [20,[23][24][25][26][27][28]. The ability to deal with large and unknown uncertainties in the system is one of the key advantages of interval state estimator design [29][30][31].…”