FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Sum-of-squares-based stability analysis of polynomial fuzzy-model-based control systems
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Quadratic stability analysis of fuzzy control systems using stepwise membership functions
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Further studies on stabilization conditions for discrete-time Takagi-Sugeno fuzzy systems
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Polynomial fuzzy models for nonlinear control: a Taylor series approach
IEEE Transactions on Fuzzy Systems
Robust controllability of T-S fuzzy-model-based control systems with parametric uncertainties
IEEE Transactions on Fuzzy Systems
SOS-based stability analysis of polynomial fuzzy control systems via polynomial membership functions
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Stability analysis of polynomial fuzzy models via polynomial fuzzy Lyapunov functions
Fuzzy Sets and Systems
H∞ state feedback controller design for continuous-time T-S fuzzy systems in finite frequency domain
Information Sciences: an International Journal
Information Sciences: an International Journal
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Most linear matrix inequality (LMI) fuzzy control results in literature are valid for any membership function, i.e., independent of the actual membership shape. Hence, they are conservative (with respect to other nonlinear control approaches) when specific knowledge of the shapes is available. This paper presents relaxed LMI conditions for fuzzy control that incorporate such shape information in the form of polynomial constraints, generalizing previous works by the authors. Interesting particular cases are overlap (product) bounds and ellipsoidal regions. Numerical examples illustrate the achieved improvements, as well as the possibilities of solving some multiobjective problems. The results also apply to polynomial-in-membership Takagi-Sugeno fuzzy systems.