Positive filtering for positive 2D fuzzy systems under l(1) performance

Affiliation of Author(s):自动化学院

Journal:IET CONTROL THEORY AND APPLICATIONS

Key Words:fuzzy systems linear programming filtering theory asymptotic stability positive filtering positive 2D fuzzy systems two-dimensional Roesser T-S fuzzy systems error-bounding positive filters positive 2D T-S fuzzy systems filtering error system 1 performance linear programming problems asymptotic stability

Abstract:In this study, the problem of positive filtering is investigated for positive two-dimensional (2D) Roesser T-S fuzzy systems under $\ell _{1}$l1-induced performance. Error-bounding positive filters are constructed to estimate the output of positive 2D T-S fuzzy systems. Firstly, a novel characterisation for asymptotic stability of the filtering error system with $\ell _{1}$l1-induced performance is derived. Then, based on that characterisation, sufficient conditions are derived to design the required filters expressed by linear programming problems. Finally, the theoretical results are illustrated through a numerical example.

ISSN No.:1751-8644

Translation or Not:no

Date of Publication:2019-04-30

Co-author:Wang, Li Qun,ShenJun

Correspondence Author:陈晓明

Date of Publication:2019-04-30