Robust H∞H∞ filtering for discrete switched systems with interval time-varying delay

• H∞H∞ filtering for discrete switched systems with interval delay is considered.
• LMI conditions are proposed to design the stable switched H∞H∞ filter.
• Some nonnegative terms are provided to reduce conservativeness of proposed results.

In this paper, the robust H∞H∞ filtering of uncertain discrete switched systems with interval delay and linear fractional perturbations is considered. The minimization of H∞H∞ norm for filtering error system by stable switched filter is investigated. The exponential convergence rate of switched filtering error system without disturbance is positive and less than 1. Some nonnegative inequalities and LMI optimization approach are introduced to improve the conservativeness of the proposed results. Finally, some numerical examples are illustrated to show the use of the main results.