Fuzzy modeling of complex systems
International Journal of Approximate Reasoning
Observer-based robust fuzzy control of nonlinear systems with parametric uncertainties
Fuzzy Sets and Systems - Modeling and control
State estimation for uncertain Takagi-Sugeno multiple model
CONTROL'10 Proceedings of the 6th WSEAS international conference on Dynamical systems and control
An approach to online identification of Takagi-Sugeno fuzzy models
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
Multiobjective identification of Takagi-Sugeno fuzzy models
IEEE Transactions on Fuzzy Systems
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In this paper, the problem of synthesis of a multiple observer for a class of uncertain nonlinear system represented by a Takagi-Sugeno multiple model is studied. The measure's uncertainties are considered as unknown outputs. To conceive the observer a mathematical transformation is considered to conceive an augmented system in which the unknown output appear as an unknown input. Convergence conditions are established in order to guarantee the convergence of the state estimation error. These conditions are expressed in Linear Matrix Inequality (LMI) formulation. An example of simulation is given to illustrate the proposed method.