Relaxed stability and performance conditions for Takagi-Sugeno fuzzy systems with knowledge on membership function overlap

Antonio Sala; Carlos Ariño

doi:10.1109/tsmcb.2006.887949

Relaxed stability and performance conditions for Takagi-Sugeno fuzzy systems with knowledge on membership function overlap

IEEE Trans Syst Man Cybern B Cybern. 2007 Jun;37(3):727-32. doi: 10.1109/tsmcb.2006.887949.

Authors

Antonio Sala, Carlos Ariño

PMID: 17550126
DOI: 10.1109/tsmcb.2006.887949

Abstract

This correspondence presents a relaxation of some earlier linear matrix inequality (LMI) conditions, which allow setting up less conservative stability or performance conditions for Takagi-Sugeno fuzzy models. Unlike the previous literature, this correspondence takes into account the knowledge of the membership functions' shape by considering bounds on them and their cross products (interpreted as an overlap measure), introducing auxiliary LMI variables. Numerical examples illustrate the achieved improvements.

Publication types

Letter
Research Support, Non-U.S. Gov't

MeSH terms

Algorithms*
Computer Simulation
Markov Chains
Models, Statistical*
Neural Networks, Computer*
Nonlinear Dynamics*
Pattern Recognition, Automated / methods*
Stochastic Processes