Robust fuzzy output regulation of discrete time-delay affine systems

This paper presents a Takagi-Sugeno (T-S) fuzzy model-based regulator for a class of discrete time-delay affine uncertain systems. Not only multiple state/input delays but also the parametric uncertainty are considered simultaneously in this paper. First, the fuzzy output regulator is proposed by introducing a memoryless fuzzy observer and a fuzzy integral compensator. Next, the asymptotic output regulation is achieved based on solving a linear matrix inequality problem (LMIP). Note that the information of partial states, each time-varying delay, and the desired operational point are not required in the design. Moreover, an H^infin performance criterion is guaranteed for disturbance attenuation. Finally, numerical simulations are carried out to illustrate the expected performance.