H∞ output-feedback control with sector nonlinearities and channel fadings

This paper is concerned with the H_∞ output-feedback control problem for a class of discrete-time systems. The measurement outputs are subject to the 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 sector nonlinearities 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.