Relaxed stability conditions for discrete-time fuzzy-model-based control systems

Authors:
Ginny Y. Wong;Frank H. Leung;Hak-Keung Lam
Affiliations:
Centre for Signal Processing, Dept. of Electronic and Information Engg., The Hong Kong Polytechnic University, Hong Kong;Centre for Signal Processing, Dept. of Electronic and Information Engg., The Hong Kong Polytechnic University, Hong Kong;Division of Engineering, The King's College London, Strand, London, United Kingdom
Venue:
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Year:
2009

Citing 12
Cited 1

Structure identification of fuzzy model

Fuzzy Sets and Systems
Analysis and design of fuzzy control system

Fuzzy Sets and Systems
Flexible stability criteria for a linguistic fuzzy dynamic system

Fuzzy Sets and Systems
Stability analysis of fuzzy control systems subject to uncertain grades of membership

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Extensions to “Stability Analysis of Fuzzy Control Systems Subject to Uncertain Grades of Membership”

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
An approach to fuzzy control of nonlinear systems: stability and design issues

IEEE Transactions on Fuzzy Systems
Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs

IEEE Transactions on Fuzzy Systems
Piecewise quadratic stability of fuzzy systems

IEEE Transactions on Fuzzy Systems
New approaches to relaxed quadratic stability condition of fuzzy control systems

IEEE Transactions on Fuzzy Systems
H∞ state-feedback controller design for discrete-time fuzzy systems using fuzzy weighting-dependent Lyapunov functions

IEEE Transactions on Fuzzy Systems
A multiple Lyapunov function approach to stabilization of fuzzy control systems

IEEE Transactions on Fuzzy Systems
Controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions

IEEE Transactions on Fuzzy Systems

Relaxed stability and stabilization conditions for a T--S fuzzy discrete system

Fuzzy Sets and Systems

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper presents the stability conditions for discrete-time fuzzy-model-based control systems subject to parameter uncertainties. The nonlinear plant subject to parameter uncertainties is represented by a Takagi-Sugeno fuzzy model with uncertain grades of memberships. Relaxed stability conditions for this class of fuzzy control systems will be derived to guarantee the system stability. A numerical example will be presented to show the effectiveness of the proposed approach.