Dissipativity-based filter design for Markov jump systems with packet loss compensation. (November 2021)

• Record Type: Journal Article
• Authors: Xue, Min; Yan, Huaicheng; Zhang, Hao; Shen, Hao; Shi, Peng
• Is Part Of: Automatica. Volume 133(2021)
• Publication Date: 2021-11
• Subjects: Filtering -- Markov jump systems -- Mode-dependent delays -- Single exponential smoothing -- Packet loss compensation; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2021.109843
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper is concerned with the dissipativity-based filtering problem for a class of discrete-time Markov jump systems with mode-dependent time-varying delays and random packet losses. The phenomenon of packet losses occurs between the plant and the filter, which is characterized by introducing a random variable. Based on the single exponential smoothing method, the prediction of the missing measurement is used as the packet loss compensation when a packet is lost. Then, a partially mode-dependent filter is established in view of the fact that the mode signals of the original system may not be completely accessible to the filter. By employing a mode-dependent Lyapunov-Krasovskii functional, some novel sufficient conditions are obtained and the filter parameters are derived to ensure that the filtering error system is stochastically stable with a strictly ( U, V, W )- γ -dissipative performance. Finally, a numerical example is utilized to demonstrate the effectiveness of the proposed approach.