Stability Analysis and Controller Design of Discrete-Time Fuzzy Large-Scale Systems Based on Piecewise Lyapunov Functions

Authors:
Hongbin Zhang;Gang Feng
Affiliations:
Center for Nonlinear & Complex Syst., Univ. of Electron. Sci. & Technol. of China, Chengdu;-
Venue:
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Year:
2008

Citing 0
Cited 6

Delay-dependent stability and H∞ control for a class of fuzzy descriptor systems with time-delay

Fuzzy Sets and Systems
Decentralized H∞ filter design for discrete-time interconnected fuzzy systems

IEEE Transactions on Fuzzy Systems
Stability analysis and H∞decentralized control for discrete-time nonlinear large-scale systems via fuzzy control approach

FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 4
Decentralized fuzzy H∞filtering for nonlinear interconnected systems with multiple time delays

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on gait analysis
Delay-dependent generalized H2 control for discrete T-S fuzzy large-scale stochastic systems with mixed delays

International Journal of Applied Mathematics and Computer Science
Stability analysis and decentralized H∞ control for time-delay fuzzy interconnected systems via fuzzy Lyapunov-Krasovskii functional

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper is concerned with stability analysis and H infin decentralized control of discrete-time fuzzy large-scale systems based on piecewise Lyapunov functions. The fuzzy large-scale systems consist of J interconnected discrete-time Takagi-Sugeno (T-S) fuzzy subsystems, and the stability analysis is based on Lyapunov functions that are piecewise quadratic. It is shown that the stability of the discrete-time fuzzy large-scale systems can be established if a piecewise quadratic Lyapunov function can be constructed, and moreover, the function can be obtained by solving a set of linear matrix inequalities (LMIs) that are numerically feasible. The H infin controllers are also designed by solving a set of LMIs based on these powerful piecewise quadratic Lyapunov functions. It is demonstrated via numerical examples that the stability and controller synthesis results based on the piecewise quadratic Lyapunov functions are less conservative than those based on the common quadratic Lyapunov functions.