DISCRETE-TIME TAKAGI-SUGENO SINGULAR SYSTEMS WITH UNMEASURABLE DECISION VARIABLES: STATE AND FAULT FUZZY OBSERVER DESIGN

Discrete-time Takagi-Sugeno singular systems with unmeasurable decision variables: state and fault fuzzy observer design

Discrete-time Takagi-Sugeno singular systems with unmeasurable decision variables: state and fault fuzzy observer design

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The studied problem in this paper, treat the issue of state and fault estimation using a fuzzy observer in the case of unmeasurable decision variable for Discrete-Time Takagi-Sugeno Singular Sytems (DTSSS).First, Neck Cream an augmented system is introduced to gather state and fault into a single vector, then on the basis of Singular Value Decomposition (SVD) approach, this observer is designed in explicit ATLAS CEDAR form to estimate both of state and fault of a nonlinear singular system.The exponential stability of this observer is studied using Lyapunov theory and the convergence conditions are solved with Linear Matrix Inequalities (LMIs).Finally a numerical example is simulated, and results are given to validate the offered approach.

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