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  • Title: Observer-based H∞ control of a class of mixed delay systems with random data losses and stochastic nonlinearities.
    Author: Wen S, Zeng Z, Huang T, Bao G.
    Journal: ISA Trans; 2013 Mar; 52(2):207-14. PubMed ID: 23141141.
    Abstract:
    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.
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