On the stability issues for fuzzy large-scale systems

Authors:
Iman Zamani;Nasser Sadati;Mohammad Hadad Zarif
Affiliations:
Department of Electrical Engineering, Shahrood University of Technology, Shahrood, Iran and Department of Electrical, The University of Shiraz, Shiraz, Iran;Electrical and Computer Engineering Department, The University of British Columbia, Vancouver, BC, Canada V6T 1Z4 and Electrical Engineering Department, Sharif University of Technology, Tehran, Ir ...;Department of Electrical Engineering, Shahrood University of Technology, Shahrood, Iran
Venue:
Fuzzy Sets and Systems
Year:
2011

Citing 13
Cited 0

Stability analysis and design of fuzzy control systems

Fuzzy Sets and Systems
Discrete-time control systems (2nd ed.)

Discrete-time control systems (2nd ed.)
Brief paper: Delay-dependent robust stability of uncertain fuzzy large-scale systems with time-varying delays

Automatica (Journal of IFAC)
Stability analysis of fuzzy large-scale systems

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
TSK fuzzy systems types II and III stability analysis: continuous case

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
An improved stability criterion for T-S fuzzy discrete systems via vertex expression

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Stability analysis and H∞ controller design of fuzzy large-scale systems based on piecewise Lyapunov functions

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
On stability of fuzzy systems expressed by fuzzy rules with singleton consequents

IEEE Transactions on Fuzzy Systems
Nonlinear state feedback controller for nonlinear systems: Stability analysis and design based on fuzzy plant model

IEEE Transactions on Fuzzy Systems
Robust stability constraints for fuzzy model predictive control

IEEE Transactions on Fuzzy Systems
Stability and stabilization of fuzzy large-scale systems

IEEE Transactions on Fuzzy Systems
Decentralized PDC for large-scale T-S fuzzy systems

IEEE Transactions on Fuzzy Systems
Stability Analysis of Discrete TSK Type II/III Systems

IEEE Transactions on Fuzzy Systems

Quantified Score

Hi-index	0.20

Visualization

Abstract

The main objective of this paper is to investigate the stability and stabilization problem of fuzzy large-scale systems in which the system is composed of a number of Takagi-Sugeno fuzzy subsystems with interconnection. Instead of fuzzy parallel distributed compensation (PDC) design, nonlinear state feedback controllers are used in stabilization of the overall large-scale system. Based on Lyapunov stability theory, linear matrix inequalities (LMIs) conditions are derived for asymptotic and exponential stability. Two numerical examples are given to confirm the analytical results and illustrate the effectiveness of the proposed strategy.