ℓ1-induced state-bounding observer design for positive Takagi–Sugeno fuzzy systems

Affiliation of Author(s):自动化学院

Journal:Neurocomputing

Abstract:In this paper, the design problem of the ℓ1-induced positive observer is studied for positive Takagi–Sugeno (T–S) fuzzy systems. First, a ℓ1-induced performance index is presented for positive systems and the performance indicator matches well to the linear Lyapunov functions. Then, we explore a novel description of the ℓ1-induced performance for positive T–S fuzzy systems. Moreover, the design problem of the ℓ1-induced positive observer is solved for positive fuzzy systems under a proposed linear programming method. To estimate the state of positive fuzzy systems, a couple of state-bounding positive observers are constructed. In the end, a numerical example is given to show the effectiveness of the proposed approach. © 2017

ISSN No.:0925-2312

Translation or Not:no

Date of Publication:2017-01-01

Co-author:cm,ShenJun,Shao, Shuyi

Correspondence Author:陈晓明

Date of Publication:2017-01-01