Network-based event-triggered H∞ filtering for discrete-time singular Markovian jump systems

• Published in: Signal processing 2018-04, Vol.145, p.106-115
• Main Authors: Xu, Qiyi, Zhang, Yijun, Zhang, Baoyong
• Format: Article
• Language: English
• Subjects: Event-triggered; H∞ filtering; Networked control system; Singular Markovian jump system
• ISSN: 0165-1684; 1872-7557
• DOI: 10.1016/j.sigpro.2017.11.013

•A dynamic discrete event-triggered scheme is proposed for the discrete-time Markovian jump singular system to save the limited communication bandwidth.•The proposed event-triggered scheme is mode-dependent, where the event generator relies on the Markovian modes.•The full order and reduced order H∞ filters with mode-independent characterization are designed in a unified framework. This paper is concerned with the network-based H∞ filtering problem for discrete-time singular Markovian jump systems with an event-triggered scheme. To save the limited network resource, a mode-dependent event-triggered scheme is proposed. A network-based singular Markovian jump system with time-delay is established based on the proposed event-triggered scheme. By using the delay partitioning technology, new criteria are derived which guarantee the filtering error system to be regular, causal, stochastically stable with a certain H∞ performance index. The variable order H∞ filters with mode-independent characterization are designed in a unified framework based on criteria. A co-design method for the filter and event-triggered scheme is proposed in terms of the linear matrix inequalities. A numerical example is provided to illustrate the effectiveness of the proposed method.