Relaxed stabilization conditions for continuous-time Takagi-Sugeno fuzzy control systems

Authors:
Xiao-Heng Chang;Guang-Hong Yang
Affiliations:
College of Information Science and Engineering, Bohai University, Jinzhou 121003, PR China and College of Information Science and Engineering, Northeastern University, Shenyang 110004, PR China;College of Information Science and Engineering, Northeastern University, Shenyang 110004, PR China
Venue:
Information Sciences: an International Journal
Year:
2010

Citing 15
Cited 9

Stability analysis and design of fuzzy control systems

Fuzzy Sets and Systems
Improved H∞ control of discrete-time fuzzy systems: a cone complementarity linearization approach

Information Sciences: an International Journal
A systematic approach to improve multiple Lyapunov function stability and stabilization conditions for fuzzy systems

Information Sciences: an International Journal
A new fuzzy Lyapunov function approach for a Takagi--Sugeno fuzzy control system design

Fuzzy Sets and Systems
Relaxed Stability and Performance Conditions for Takagi–Sugeno Fuzzy Systems With Knowledge on Membership Function Overlap

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
LMI-Based Stability and Performance Conditions for Continuous-Time Nonlinear Systems in Takagi–Sugeno's Form

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Fuzzy Control System Design via Fuzzy Lyapunov Functions

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs

IEEE Transactions on Fuzzy Systems
Mixed H2/H∞ fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach

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

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

IEEE Transactions on Fuzzy Systems
A new LMI-based approach to relaxed quadratic stabilization of T-S fuzzy control systems

IEEE Transactions on Fuzzy Systems
Continuous Takagi–Sugeno's Models: Reduction of the Number of LMI Conditions in Various Fuzzy Control Design Technics

IEEE Transactions on Fuzzy Systems
LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form

Automatica (Journal of IFAC)
New approaches to H∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI

Automatica (Journal of IFAC)

A descriptor representation approach to observer-based H∞ control synthesis for discrete-time fuzzy systems

Fuzzy Sets and Systems
Non-fragile fuzzy H∞ filter design for nonlinear continuous-time systems with D stability constraints

Signal Processing
A fuzzy Lyapunov function approach to estimating the domain of attraction for continuous-time Takagi-Sugeno fuzzy systems

Information Sciences: an International Journal
Further studies on relaxed stabilization conditions for discrete-time two-dimension Takagi-Sugeno fuzzy systems

Information Sciences: an International Journal
Hybrid learning mechanism for interval A2-C1 type-2 non-singleton type-2 Takagi-Sugeno-Kang fuzzy logic systems

Information Sciences: an International Journal
Stability analysis and controller synthesis for discrete-time delayed fuzzy systems via small gain theorem

Information Sciences: an International Journal
Robust non-quadratic static output feedback controller design for Takagi-Sugeno systems using descriptor redundancy

Engineering Applications of Artificial Intelligence
Relaxed filtering designs for continuous-time nonlinear systems via novel fuzzy H∞ filters

Signal Processing
Membership-function-dependent stability analysis of fuzzy-model-based control systems using fuzzy Lyapunov functions

Information Sciences: an International Journal

Quantified Score

Hi-index	0.07

Visualization

Abstract

This paper deals with the stabilization of continuous-time Takagi-Sugeno (T-S) fuzzy control systems. Based on fuzzy Lyapunov functions and nonparallel distributed compensation (non-PDC) control laws, new stabilization conditions are represented in the form of linear matrix inequalities (LMIs). The theoretical proof shows that the proposed conditions can provide less conservatism than the existing results in the literature. Moreover, in order to demonstrate the effectiveness of the non-PDC control laws, the problem of H"~ controller design for T-S fuzzy systems is also studied. Simulation examples are given to illustrate the merits of the proposed methods.