Observer Design for a Class of Takagi-Sugeno Descriptor Systems with Lipschitz Constraints
This paper deals with the design of explicit observers for a class of discrete-time dynamical implicit systems described by Takagi-Sugeno (TS) model in the two cases where the premise variable are measurable and the premise variables are unmeasurable. The idea of the proposed approach is based on the singular value decomposition. The convergence of the state estimation error is studied using the Lyapunov theory and the stability conditions are given in terms of Linear Matrix Inequalities (LMIs). Finally, an example is given to illustrate the proposed approach.