H∞ fault detection for networked control systems with random delay via delta operator

The problem of H∞ fault detection for networked control systems with random delay and packet loss is studied in this paper. The conducted system is discretized by delta operator, then a fault detection filter and a residual generator are developed which the fault is detected. Sufficient conditions of asymptotic stability for the residual system with H∞ performance can be obtained in terms of linear matrix inequalities and Lyapunov functional techniques. A numerical example is given to illustrate the effectiveness of the mentioned method.

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