LMI Approach: Design of Unknown Inputs Observers to Takagi-Sugeno Fuzzy Model

This paper considers the design of a fuzzy observer for a non-linear system with unknown inputs described by a fuzzy model subject to unknown inputs affecting states and outputs of the system simultaneously. The main objective is to estimate state variables of the fuzzy model. Based on the Lyapunov method, sufficient conditions in Linear Matrix Inequalities (LMI) terms are proposed to design the given unknown input T-S observer. A numerical example is given to illustrate the validity of the results.

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