Event-triggered distributed fault detection over sensor networks in finite-frequency domain. (English) Zbl 07907022
Summary: In this study, the event-triggered distributed fault detection problem is investigated for a class of discrete-time uncertain systems in the finite frequency domain. A sensor network is utilised to collect the information of interest, and an event-triggered communication scheme is adopted to alleviate the communication burden. For the addressed problem, a distributed fault detection filter is designed based on the measurement information from its neighbouring nodes and itself by the given topology. In addition, a fashionable index, named as \(H_-/H_\infty\) performance, is employed in order to simultaneously achieve the residual sensitivity to faults and the robustness against disturbances. By resorting to Euler’s formula combined with Lyapunov stability theory, some sufficient conditions are established to satisfy the desired performance over a given finite-frequency domain, and the distributed fault detection filter gains are explicitly characterised by solving a series of linear matrix inequalities. A simulation example is conducted to illustrate the feasibility of the proposed filter design technique.
© 2021 The Authors. IET Control Theory & Applications published by John Wiley & Sons, Ltd. on behalf of The Institution of Engineering and Technology
© 2021 The Authors. IET Control Theory & Applications published by John Wiley & Sons, Ltd. on behalf of The Institution of Engineering and Technology
MSC:
| 93C65 | Discrete event control/observation systems |
| 93B70 | Networked control |
| 93C80 | Frequency-response methods in control theory |
| 93B36 | \(H^\infty\)-control |
Keywords:
linear matrix inequalities; uncertain systems; fault diagnosis; discrete time systems; stability; Lyapunov methods; sensor network; fault detection problem; discrete-time uncertain systems; finite frequency domain; event-triggered communication scheme; filter design technique; event-triggered distributed fault detection; Euler formula; Lyapunov stability theory; linear matrix inequalitiesReferences:
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