Garbouj, Yosr (National Engineering School of Tunis), Dinh, Thach Ngoc (Conservatoire National des Arts et Métiers), Zouari, Talel (National Engineering School of Tunis), Ksouri, Moufida (National Engineering School of Tunis), Raïssi, Tarek (Conservatoire National des Arts et Métiers)

Interval Estimation of Switched Takagi-Sugeno Systems with Unmeasurable Premise Variables

Scheduled for presentation during the Invited Session "Recent advances in fuzzy model-based design: theory and applications" (WeBSP), Wednesday, August 21, 2019, 16:50−17:10,

5th IFAC International Conference on Intelligent Control and Automation Sciences, August 21-23, 2019, Queen’s University Belfast, Northern Ireland

This information is tentative and subject to change. Compiled on April 25, 2024

Abstract

This paper deals with interval observers design for nonlinear switched systems. The nonlinear modes are represented by the Takagi-Sugeno (T-S) fuzzy models with premise variables depending on unmeasurable terms, e.g. the state vector. This T-S structure can be used to represent exactly a nonlinear switched system in a compact set of the state space. The introduced method in this paper allows to compute the lower and upper bounds of the system state under the assumption that the disturbances as well as the measurement noises are unknown but bounded. First, the stability conditions of the proposed T-S interval observers are developed via Linear Matrix Inequality (LMI) formulations to ensure the convergence of the nonnegative observation error dynamics. Then, changes of coordinates are employed to relax the restrictive requirement of nonnegativity constraints. Theoretical results are applied to a numerical example to illustrate the effectiveness of the proposed method.