Ellipsoid-based interval estimation for Takagi-Sugeno fuzzy systems

Abstract

This paper proposes a two-step interval estimation approach for discrete-time Takagi-Sugeno fuzzy systems with unknown but peak bounded uncertainties. A Takagi-Sugeno fuzzy observer is designed by using the L <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> technique to attenuate the influence of the uncertainties and then improve the estimation accuracy. Based on the designed observer, the interval estimation results are determined via ellipsoidal analysis. By integrating the L <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> observer design with the ellipsoidal analysis, the proposed method can obtain accurate interval estimation results with high computational efficiency. Finally, numerical simulations are presented to demonstrate the effectiveness of the proposed approach.