Stability analysis and design of fuzzy control systems
Fuzzy Sets and Systems
An introduction to fuzzy control
An introduction to fuzzy control
Fuzzy input-output controllers are universal approximators
Fuzzy Sets and Systems
Why triangular membership functions?
Fuzzy Sets and Systems
Trajectory stabilization of a model car via fuzzy control
Fuzzy Sets and Systems - Special issue on modern fuzzy control
Fuzzy engineering
Function approximation with polynomial membership functions and alternating cluster estimation
Fuzzy Sets and Systems - Special issue on analytical and structural considerations in fuzzy modeling
Neuro-fuzzy systems for function approximation
Fuzzy Sets and Systems - Special issue on analytical and structural considerations in fuzzy modeling
Fuzzy Modeling for Control
Neurofuzzy networks with nonlinear quantum learning
IEEE Transactions on Fuzzy Systems
On the estimation of parameters of Takagi-Sugeno fuzzy filte
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Approximation properties of piece-wise parabolic functions fuzzy logic systems
Fuzzy Sets and Systems
IEEE Transactions on Fuzzy Systems
Fuzzy regression models using the least-squares method based on the concept of distance
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Fuzzy systems with defuzzification are universal approximators
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
General SISO Takagi-Sugeno fuzzy systems with linear rule consequent are universal approximators
IEEE Transactions on Fuzzy Systems
Piecewise quadratic stability of fuzzy systems
IEEE Transactions on Fuzzy Systems
On the interpretation and identification of dynamic Takagi-Sugeno fuzzy models
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Effective optimization for fuzzy model predictive control
IEEE Transactions on Fuzzy Systems
Interval Fuzzy Model Identification Using -Norm
IEEE Transactions on Fuzzy Systems
Hierarchical fuzzy relational models: linguistic interpretation and universal approximation
IEEE Transactions on Fuzzy Systems
An IV-QR Algorithm for Neuro-Fuzzy Multivariable Online Identification
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Fuzzy Interpolation and Extrapolation: A Practical Approach
IEEE Transactions on Fuzzy Systems
A Functional-Link-Based Neurofuzzy Network for Nonlinear System Control
IEEE Transactions on Fuzzy Systems
FLEXFIS: A Robust Incremental Learning Approach for Evolving Takagi–Sugeno Fuzzy Models
IEEE Transactions on Fuzzy Systems
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Abstract: Universal approximation properties of Mamdani fuzzy model are well known. On the other hand, Takagi-Sugeno fuzzy model with affine consequent was thought to be a local approximator of the dynamics. However, it can also be tuned to be an universal approximator, but loosing its local interpretation. In this paper, an innovative affine global model with universal approximation capabilities which maintains local interpretation is introduced. This novel model can be considered a generalization of Takagi-Sugeno affine fuzzy model, and is based on decoupling the dynamic parameters of the system at the fuzzification step. We demonstrate how this new model can exactly match non-linear functions expressed either as product form or additive form. Finally, we apply all the above to model a multivariable tank, analyzing the modelling errors obtained, depending on the model used: Mamdani, Takagi-Sugeno or the affine one with decoupled dynamics.