On delay-derivative-dependent sampled-data fuzzy control design for T-S model-based fuzzy systems with interval time-varying delay

This paper is concerned with robust sampled-data fuzzy control for Takagi-Sugeno (T-S) model-based fuzzy systems with interval time-varying delay and norm-bounded parameter uncertainties. By constructing a new Lyapunov-Krasovskii functional, a less conservative sufficient condition on the existence of the sampled-data fuzzy controller for the fuzzy system is formulated in the form of matrix inequalities, which is dependent on both the size of delay-derivative and allowable upper bound of time-varying sampling period, by using a new tighter bounding technique. A feasible solution can be obtained by solving a minimization problem in terms of linear matrix inequalities. Finally, the backing-up control of a computing simulated truck-trailer is discussed to show the effectiveness of the obtained design approach.