Relaxed stability conditions for T-S fuzzy systems

Wen June Wang, Chun Shiun Sun, Leh Luoh

Research output: Contribution to conferencePaperpeer-review

23 Scopus citations

Abstract

It is well known that the general stability condition for a T-S fuzzy system is AiT P + PAi < O (for continuous systems) or AiT PAi - P < O (for discrete systems), i=1,2,...,r, where r is the number of system's rules. If rules' number r of the fuzzy system is large, the problem for finding the common P to satisfy r inequalities is not easy, even Linear Matrix Inequality (LMI) is used. However, in practical, when inputs are singletons, the number of the fired rules at the instance is always very less than (at most equal to) r. Those rules, which are not fied, have zero fired grade membership values. Therefore it is not necessary to consider them into the system's stability condition. This paper will investigate the problem to relax the stability condition, that is, the common P only needs to satisfy h inequalities instead of r inequalities, where h(≤r) is the number of the fired rules by each input sets. Thus, the new and relaxed stability condition is established.

Original languageEnglish
Pages221-226
Number of pages6
StatePublished - 2001
EventJoint 9th IFSA World Congress and 20th NAFIPS International Conference - Vancouver, BC, Canada
Duration: 25 Jul 200128 Jul 2001

Conference

ConferenceJoint 9th IFSA World Congress and 20th NAFIPS International Conference
Country/TerritoryCanada
CityVancouver, BC
Period25/07/0128/07/01

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