Structure identification of fuzzy model
Fuzzy Sets and Systems
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
IEEE Transactions on Fuzzy Systems
Stability analysis of fuzzy control systems subject to uncertain grades of membership
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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
A new LMI-based approach to relaxed quadratic stabilization of T-S fuzzy control systems
IEEE Transactions on Fuzzy Systems
A Survey on Analysis and Design of Model-Based Fuzzy Control Systems
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
New approaches to H∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI
Automatica (Journal of IFAC)
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This paper presents relaxed stability conditions for Takagi-Sugeno fuzzy-model-based (FMB) control systems. Similar to many previous approaches, stability conditions are represented in the form of multi-dimensional fuzzy summation. To investigate the system stability, the inequalities of p- dimensional fuzzy summation are expanded to n-dimensional fuzzy summation (n ≥ p). Then the boundary and regional information of membership functions are utilized for relaxation of stability analysis results. In the first step the lower and upper bounds of the membership functions and its products from 2 to n in the full operating domain are considered in the stability analysis. This approach is named Global-Membership-Function-Shape-Dependent (GMFSD). The second approach is named Regional-Membership-Function-Shape-Dependent (RMFSD) of which the operating region is partitioned to sub-regions and the boundary information of membership functions on each operating sub-region is employed to facilitate the stability analysis for further relaxation of stability conditions. Numerical example is given to demonstrate the effectiveness of the proposed stability conditions.