Observer based guaranteed cost control for time-delay TS fuzzy systems

This paper considers the design of observer based guaranteed cost control of time-delay nonlinear systems repre-sented by TS fuzzy models. We consider that both the states and the inputs are affected by time varying delay, which is assumed to be known. We propose conditions for observer and controller design with the aim that the closed-loop is asymptotically stable and the cost is minimized. The conditions are bilinear and we solve them in two steps. We also give different possibilities for minimizing the cost function along with a performance comparison between them. The results are validated on a numerical example,