H∞ output-feedback control with randomly occurring distributed delays and nonlinearities subject to sensor saturations and channel fadings

Abstract This paper is concerned with the H ∞ output-feedback control problem for a class of discrete-time systems with randomly occurring nonlinearities (RONs) as well as randomly occurring distributed delays (RODDs). Both RONs and RODDs are governed by random variables obeying the Bernoulli distributions. The measurement output is subject to the sensor saturations described by sector-nonlinearities as well as the channel fadings caused typically in wireless communication. The aim of the addressed problem is to design a full-order dynamic output-feedback controller such that, in the simultaneous presence of RONs, RODDs, sensor saturations and channel fadings, the closed-loop system is exponentially mean-square stable and satisfies the prescribed H ∞ performance constraint. By using a combination of the stochastic analysis and Lyapunov functional approaches, sufficient conditions are derived for the existence of the desired controllers and then the characterization of such controllers is given via the semi-definite programme method. Finally, the numerical simulation result is exploited to illustrate the usefulness and effectiveness of the proposed design technique.

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