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Volume 11 Issue 5
May  2024

IEEE/CAA Journal of Automatica Sinica

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Article Contents
H. Tan, B. Shen, Q. Li, and  H. Liu,  “Recursive filtering for stochastic systems with filter-and-forward successive relays,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 5, pp. 1202–1212, May 2024. doi: 10.1109/JAS.2023.124110
Citation: H. Tan, B. Shen, Q. Li, and  H. Liu,  “Recursive filtering for stochastic systems with filter-and-forward successive relays,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 5, pp. 1202–1212, May 2024. doi: 10.1109/JAS.2023.124110

Recursive Filtering for Stochastic Systems With Filter-and-Forward Successive Relays

doi: 10.1109/JAS.2023.124110
Funds:  This work was supported in part by the National Natural Science Foundation of China (62103004, 62273088, 62273005, 62003121), Anhui Provincial Natural Science Foundation of China (2108085QA13), the Natural Science Foundation of Zhejiang Province (LY24F030006), the Science and Technology Plan of Wuhu City (2022jc24), Anhui Polytechnic University Youth Top-Notch Talent Support Program (2018BJRC009), Anhui Polytechnic University High-End Equipment Intelligent Control Innovation Team (2021CXTD005), and Anhui Future Technology Research Institute Foundation (2023qyhz08, 2023qyhz09)
More Information
  • In this paper, the recursive filtering problem is considered for stochastic systems over filter-and-forward successive relay (FFSR) networks. An FFSR is located between the sensor and the remote filter to forward the measurement. In the successive relay, two cooperative relay nodes are adopted to forward the signals alternatively, thereby existing switching characteristics and inter-relay interferences (IRI). Since the filter-and-forward scheme is employed, the signal received by the relay is retransmitted after it passes through a linear filter. The objective of the paper is to concurrently design optimal recursive filters for FFSR and stochastic systems against switching characteristics and IRI of relays. First, a uniform measurement model is proposed by analyzing the transmission mechanism of FFSR. Then, novel filter structures with switching parameters are constructed for both FFSR and stochastic systems. With the help of the inductive method, filtering error covariances are presented in the form of coupled difference equations. Next, the desired filter gain matrices are further obtained by minimizing the trace of filtering error covariances. Moreover, the stability performance of the filtering algorithm is analyzed where the uniform bound is guaranteed on the filtering error covariance. Finally, the effectiveness of the proposed filtering method over FFSR is verified by a three-order resistance-inductance-capacitance circuit system.


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    • The filter-and-forward successive relay is considered in the filtering problem
    • Recursive filters are designed for the successive relay and the stochastic system
    • The boundedness stability is analyzed for the proposed filtering algorithm


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