State Estimation for 2-D Markov Jump Systems With Multiple Observation Delays Over Decoded-and-Forward Relay Channels

Yufan Wang; Chunyan Han; Wei Wang; Tao Shen

doi:10.1109/JAS.2026.125753

Volume 13 Issue 5

May 2026

IEEE/CAA Journal of Automatica Sinica

JCR Impact Factor: 19.2, Top 1 (SCI Q1)

CiteScore: 28.2, Top 1% (Q1)
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Article Navigation > IEEE/CAA Journal of Automatica Sinica > 2026 > 13(5): 1217-1235

Y. Wang, C. Han, W. Wang, and T. Shen, “State estimation for 2-D Markov jump systems with multiple observation delays over decoded-and-forward relay channels,” IEEE/CAA J. Autom. Sinica, vol. 13, no. 5, pp. 1217–1235, May 2026. doi: 10.1109/JAS.2026.125753

Citation:

Y. Wang, C. Han, W. Wang, and T. Shen, “State estimation for 2-D Markov jump systems with multiple observation delays over decoded-and-forward relay channels,” IEEE/CAA J. Autom. Sinica, vol. 13, no. 5, pp. 1217–1235, May 2026. doi: 10.1109/JAS.2026.125753

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State Estimation for 2-D Markov Jump Systems With Multiple Observation Delays Over Decoded-and-Forward Relay Channels

doi: 10.1109/JAS.2026.125753

Funds: This work was supported by the National Natural Science Foundation of China (62473172, U24A20281), the Natural Science Foundation of Shandong Province (ZR2021MF069), and the University of Jinan Disciplinary Cross-Convergence Construction Project 2024 (XKJC-202408)

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Abstract

Abstract

This paper addresses the recursive state estimation problem for two-dimensional Markov jump systems (2-D MJSs) subject to multi-channel observation delays and packet losses under the decoded-and-forward (DaF) relay-based protocol. To enhance signal propagation distance and quality, the DaF relay-based policy is deployed to schedule data transmission over the sensor-to-estimator channels. An encoding-decoding mechanism related to the jumping parameter is introduced to transform the initial measurements into delayed decoded observations. The packet dropouts are considered to occur in the relay-to-estimator channels and are modeled as mutually uncorrelated Bernoulli random variables. Moreover, on grounds of 2-D reorganization observation technology, the delayed decoded signals transmitted through DaF relay channels are transformed into delay-free decoded measurements. The goal of this paper is to develop a recursive state estimator based on the reconstructed delay-free model, aiming to minimize the upper bounds of the filtering error variances. By applying matrix inequality theory and the inductive method, specific upper bounds on the filtering error covariances are derived. Then, the expected filter gain parameters are designed to minimize these bounds by solving a series of 2-D Riccati difference equations, and the boundedness performance of the proposed recursive filter algorithm is investigated. Finally, a simulation example is provided to demonstrate the effectiveness of the devised filter strategy.
- 2-D Markov jump system (2-D MJS),
- boundedness analysis,
- decode-and-forward relay,
- observation delays,
- recursive filter

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References(54)

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