Fault detection for discrete time-delay networked systems with round-robin protocol in finite-frequency domain

Yamei Ju, Guoliang Wei, Derui Ding and Sunjie Zhang

International Journal of Systems Science, 2019, vol. 50, issue 13, 2497-2509

Abstract: The paper considers the fault detection problem over finite-frequency domain for a class of discrete time-delayed networked systems subject to round-robin protocol. This protocol is a periodic one to schedule the information transmitted via a shared communication network with an intent to prevent the data from collisions. In this scenario, the error dynamics can be regarded as a periodic protocol-induced system. The aim of the problem addressed is to design a fault detection filter that (1) the sensitivity of the residual to the fault is enhanced by means of a maximised $H_{-} $H− index and (2) the effect from the exogenous disturbances on the residual is decreased with considering a minimised $H_{\infty } $H∞ index. By resorting to a Lyapunov function, an improved version of generalised Kalman–Yakubovich–Popov lemma (GKYP) is first developed for protocol-induced periodic system. Then, in light of such a lemma, sufficient conditions are derived to guarantee both the fault sensitivity and the disturbance attenuation capability by solving a set of matrix inequalities. Finally, the usefulness of the presented fault detection algorithm is utilised via a numerical simulation.

Date: 2019
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DOI: 10.1080/00207721.2019.1671530

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