H∞ performance for uncertain discrete switched systems with interval time-varying delay via switching signal design

The switching signal design for H∞ performance of uncertain discrete switched systems with interval delay and linear fractional perturbations is considered in this paper. Some LMI stability criteria are proposed to design the switching signal and guarantee the H∞ performance for discrete switched time-delay system. Some nonnegative inequalities are introduced to improve the conservativeness of the proposed results. A numerical example is illustrated to show the less conservativeness of the main result. Finally, a water quality model is also provided to demonstrate the practical applications of our proposed results.