Interval State Estimation of Switched Systems with Metzler-Takagi-Sugeno Models

Abstract

The paper deals with interval observer design for nonlinear switched positive systems. The systems are represented by the Takagi-Sugeno fuzzy models, with premise variables depending on a measurable part of the state vector. Stability conditions for the proposed interval observer structure are formulated via Linear Matrix Inequalities to ensure nonnegative system state estimation. The proposed method allows to compute the lower and upper bounds of the system state under the assumption that the disturbance are bounded. The properties of proposed approach are illustrated in numerical example.