Delay-dependent non-fragile H∞ filtering for uncertain fuzzy systems based on switching fuzzy model and piecewise Lyapunov function

Authors:
Zhi-Le Xia;Jun-Min Li;Jiang-Rong Li
Affiliations:
School of Science, Xidian University, Xi'an, PRC 710071 and School of Mathematics and Information Engineering, Taizhou University, Taizhou, PRC 317000;School of Science, Xidian University, Xi'an, PRC 710071;School of Science, Xidian University, Xi'an, PRC 710071 and College of Mathematics and Computer Science, Yanan University, Yanan, PRC 716000
Venue:
International Journal of Automation and Computing
Year:
2010

Citing 17
Cited 3

H∞ filtering of discrete-time fuzzy systems via basis-dependent Lyapunov function approach

Fuzzy Sets and Systems
Improved delay-dependent robust stabilization conditions of uncertain T--S fuzzy systems with time-varying delay

Fuzzy Sets and Systems
Robust stabilization and H∞ control for uncertain fuzzy neutral systems with mixed time delays

Fuzzy Sets and Systems
New delay-dependent non-fragile H∞ observer-based control for continuous time-delay systems

Information Sciences: an International Journal
Brief paper: Non-fragile H∞ filter design for linear continuous-time systems

Automatica (Journal of IFAC)
Fuzzy weighting-dependent approach to robust L2-L∞ filter design for delayed fuzzy systems

Signal Processing
H∞ filtering for fuzzy systems with immeasurable premise variables: An uncertain system approach

Fuzzy Sets and Systems
H∞ filtering of time-delay T-S fuzzy systems based on piecewise Lyapunov-Krasovskii functional

Signal Processing
New results on H∞ filtering for fuzzy time-delay systems

IEEE Transactions on Fuzzy Systems
Robust H∞ control for discrete-time fuzzy systems with infinite-distributed delays

IEEE Transactions on Fuzzy Systems
Fuzzy Weighting-Dependent Approach to H∞ Filter Design for Time-Delay Fuzzy Systems

IEEE Transactions on Signal Processing
Relaxed Stabilization Criteria for Discrete-Time T–S Fuzzy Control Systems Based on a Switching Fuzzy Model and Piecewise Lyapunov Function

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Piecewise quadratic stability of fuzzy systems

IEEE Transactions on Fuzzy Systems
Delay-Dependent Stability Analysis and Controller Synthesis for Discrete-Time T–S Fuzzy Systems With Time Delays

IEEE Transactions on Fuzzy Systems
Fuzzy H∞ Filter Design for a Class of Nonlinear Discrete-Time Systems With Multiple Time Delays

IEEE Transactions on Fuzzy Systems
Approaches to Robust Filtering Design of Discrete Time Fuzzy Dynamic Systems

IEEE Transactions on Fuzzy Systems
Filter Design for Nonlinear Systems With Time-Delay Through T–S Fuzzy Model Approach

IEEE Transactions on Fuzzy Systems

A discretization method for nonlinear delayed non-affine systems

International Journal of Automation and Computing
Exponential stability of uncertain T-S fuzzy switched systems with time delay

International Journal of Automation and Computing
Delay-dependent robust stabilization and H∞ control for uncertain stochastic T-S fuzzy systems with discrete interval and distributed time-varying delays

International Journal of Automation and Computing

Quantified Score

Hi-index	0.01

Visualization

Abstract

This paper is concerned with the non-fragile H∞ filter design problem for uncertain discrete-time Takagi-Sugeno (T-S) fuzzy systems with time delay. To begin with, the T-S fuzzy system is transformed to an equivalent switching fuzzy system. Then, based on the piecewise Lyapunov function and matrix decoupling technique, a new delay-dependent non-fragile H∞ filtering method is proposed for the switching fuzzy system. The proposed condition is less conservative than the previous results. Since only a set of LMIs is involved, the filter parameters can be solved directly. Finally, a design example is provided to illustrate the validity of the proposed method.