An optimal T-S model for the estimation and identification of nonlinear functions
WSEAS Transactions on Systems and Control
New optimal approach for the identification of Takagi-Sugeno fuzzy model
CONTROL'08 Proceedings of the 4th WSEAS/IASME international conference on Dynamical systems and control
Control synthesis of continuous-time T-S fuzzy systems with local nonlinear models
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Control law proposition for the stabilization of discrete Takagi-Sugeno models
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Relaxed stabilization conditions for continuous-time Takagi-Sugeno fuzzy control systems
Information Sciences: an International Journal
H∞ and mixed H2/H∞ control of discrete-time T--S fuzzy systems with local nonlinear models
Fuzzy Sets and Systems
An affine fuzzy model with local and global interpretations
Applied Soft Computing
Automatica (Journal of IFAC)
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Fuzzy models of the Takagi-Sugeno type enable representation of a wide class of nonlinear models. Conditions about their stabilization can be derived systematically. Usually these conditions are written as linear matrix inequality (LMI) problems. In this paper, we use a collection of properties concerning matrices to extend the area of solutions involving the feedback control laws. We will work out with continuous fuzzy models, and supply results about the stabilization, the regulator problem, and also Hinfin control. Solutions based on a reduced number of decision variables, implying a reduced number of LMI conditions, are also proposed. We show that a good tradeoff can been obtained.