Adaptive consensus-based distributed H∞ filtering with switching topology subject to partial information on transition probabilities

Fengzeng Zhu, Xu Liu and Li Peng

Applied Mathematics and Computation, 2021, vol. 411, issue C

Abstract: This article is dedicated to designing distributed state estimators for time-varying delay systems. The filtering network communication topology is time-varying, and it is presumed that the switching mechanism follows a homogeneous Markov chain, with partially unknown information in the probability transition matrix. An adaptive event-triggered mechanism is embedded in the sensor network, which reduces unnecessary communication data and saves communication resources. By utilising the mode-dependent Lyapunov function, sufficient conditions are deduced to ensure the H∞-consensus performance for the filtering error dynamics. Then, some intensive analysis is performed to obtain the explicit expressions of the distributed H∞ state estimator by introducing slack variables and free-connection weighting matrices. Finally, two numerical simulations are proposed to demonstrate the effectiveness of theoretical results.

Keywords: Time-varying delay; Distributed H∞ estimation; Event-triggered strategy; Switching topology; Unknown transition probability; Free-connection weighting matrix (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:411:y:2021:i:c:s0096300321006172

DOI: 10.1016/j.amc.2021.126534

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