Functional interval observer design for multivariable linear parameter-varying systems

Abstract

This paper presents a new functional interval observer design methodology for discrete-time multivariable Linear Parameter-Varying (LPV) systems subject to bounded uncertainties. A functional interval observer is designed to estimate the bounds of the functional state using H∞/L∞ formalism to attenuate the effects of the uncertainties and to improve the accuracy of the estimation. The sufficient conditions of the observer design are developed in terms of Linear Matrix Inequalities (LMIs) constraints using the Lyapunov stability theory. Eventually, the effectiveness of the proposed methodology is illustrated by a numerical example.