Event-triggered fault detection filtering for discrete-time Markovian jump systems

• Published in: Signal processing Vol. 152; pp. 384 - 391
• Main Authors: Qiao, Bingna, Su, Xiaojie, Jia, Renfeng, Shi, Yan, Mahmoud, Magdi S.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.11.2018
• Subjects: Event-Triggered strategy; Fault detection; Hybrid switched systems; Markovian jump systems; Markovian jump systems; Event-Triggered strategy; Fault detection; Hybrid switched systems
• ISSN: 0165-1684; 1872-7557
• DOI: 10.1016/j.sigpro.2018.06.016

•By introducing an event indicator, the sampling frequencies or communication of the systems are reduced, i.e., the signal transmission pressure in the resulting system is reduced.•The procedure for the required FDF is efficiently handled, and the sufficient conditions for the system to satisfy the stochastic stability and the performance indices of H∞ performance are provided.•The discriminant conditions in this paper are linear matrix inequality constraints, and the resulting fault detection filtering problem can be addressed by the optimization tool. This paper addresses the problem of fault detection for discrete-time Markovian jump systems in an event-triggered scheme. An event-triggered scheme from the plant to the fault detection filter is used to reduce the transmission frequency. The purpose is to design a fault detection filter such that the residual system is stochastically stable and satisfies the performance expectation. The conditions for existence are obtained for a class of discrete-time Markovian jump systems. If these conditions are feasible, a desired event-triggered fault detection filter can be easily constructed. In addition, the cone complementarity linearization procedure is used to cast the filter design problem with a sequential minimization problem, which can be efficiently solved using the current optimization techniques. Finally, a numerical example is given to illustrate the effectiveness of the proposed theory.