Observer-based H∞ control of a class of mixed delay systems with random data losses and stochastic nonlinearities

► The mixed time-delay is defined in the discrete-time setting. ► A Lyapunov-Krasovskii functional is introduced to account for mixed time delays. ► The random packet losses are considered to be two Bernoulli distributed white sequences. ► The control inputs between the observer and the controller are different. ► An LMI approach is developed to solve the observer-based H∞ controller design problem.