Observer design for Takagi-Sugeno discrete time uncertain systems

Abstract

This paper deals with the design of observer for discrete time uncertain systems. This observer design present a direct extension from discrete observer for Takagi-Sugeno systems. In this work two non quadratic Lyapunov functions were used. This paper show that a little change in the Lyapunov function form can give a large feasible area of solutions in term of linear matrix inequality. In addition, a stabilization condition of estimation error is given. Finally, numerical simulation is given to validate the developed approach.