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

This paper investigates the observer-based H ∞ control problem for a class of discrete-time mixed delay systems with random communication packet losses and stochastic nonlinearities. The mixed delays comprise both discrete time-varying and distributed delays, the random data losses are described by a Bernoulli distributed white sequence that obeys a conditional probability distribution, and the stochastic nonlinearities in the form of statistical means cover several well-studied nonlinear functions. In the presence of mixed delays, random packet losses and stochastic nonlinearities, sufficient conditions for the existence of an observer-based feedback controller are derived, such that the closed-loop control system is asymptotically mean-square stable and preserves a guaranteed H ∞ performance.