Interval State Estimation of Switched Takagi-Sugeno Systems with Metzler-Lipschitz Features

Abstract

The paper deals with the interval switching observers design for nonlinear switched positive systems. The systems are represented by the Takagi-Sugeno fuzzy switched models, with measurable premise variables. Proposed design conditions for the interval switching observer structure are formulated via linear matrix inequalities to ensure nonnegative state estimation of the considered class of fuzzy switched systems. Under such conditions the proposed method allows to compute the lower and upper bounds of the system state assuming that Lipschitz function is positive and the system disturbance is positive and bounded. The properties of the proposed approach are illustrated by a numerical example.