Observer design of discrete time T-S fuzzy systems with measurable premise variables based on common quadratic Lyapunov function

The problem of designing of fuzzy observer for discrete time nonlinear system represented by Takagi-Sugeno with measurable premise variables is studied. The proposed observer design approach is based on common quadratic Lyapunov function. The convergence conditions of the fuzzy observer are achieved in terms of Liner Matrix Inequalities (LMI). Finally, an example is given to illustrate the proposed result.