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Volume 13 Issue 9
Sep.  2026

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2026  >  13(9): 2028-2038
Y. Ju, S. Liu, G. Wei, and Y. Sun, “Joint state and fault estimation for complex dynamical networks with sensor resolution: Handling amplify-and-forward relays,” IEEE/CAA J. Autom. Sinica, vol. 13, no. 9, pp. 2028–2038, Sep. 2026. doi: 10.1109/JAS.2025.125942
Citation: Y. Ju, S. Liu, G. Wei, and Y. Sun, “Joint state and fault estimation for complex dynamical networks with sensor resolution: Handling amplify-and-forward relays,” IEEE/CAA J. Autom. Sinica, vol. 13, no. 9, pp. 2028–2038, Sep. 2026. doi: 10.1109/JAS.2025.125942
shu

Joint State and Fault Estimation for Complex Dynamical Networks With Sensor Resolution: Handling Amplify-and-Forward Relays

doi: 10.1109/JAS.2025.125942
Funds:  This work was supported in part by the National Natural Science Foundation of China (62303322, 62203306)
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    Abstract
  • The paper examines the issues of joint state and fault estimation for a class of complex dynamical networks (CDNs) with respect to sensor resolution (SR) and amplify-and-forward (AaF) relay protocols. To comply with engineering practices, the phenomenon of SR is taken into account for sensors, and AaF relay protocols are utilized between sensors and estimators to accommodate signal transmissions. First, a joint estimator of both system states and faults is constructed for CDNs under engineering-oriented complexities, including SR and the AaF relay protocol. Then, an upper bound of update error covariance is deduced and further minimized in matrix trace sense to receive recursively the desired estimator matrix. Furthermore, the boundedness of the update errors in the mean square is extensively discussed, producing a sufficient condition. Besides, monotonicity is conducted regarding the probability of the channel’s packet losses for AaF relay protocols. Finally, a simulation example using RLC circuits is showcased to evidence the theoretical results that have been derived.

     

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    • References(40)
  • [1]
    C. C. Chu and H. H. C. Iu, “Complex networks theory for modern smart grid applications: A survey,” IEEE J. Emerg. Sel. Top. Circuits Syst., vol. 7, no. 2, pp. 177−191, Jun. 2017. doi: 10.1109/JETCAS.2017.2692243
    [2]
    M. C. Miguel and R. Pastor-Satorras, “Scalar model of flocking dynamics on complex social networks,” Phys. Rev. E, vol. 100, no. 4, Art. no. 042305, Oct. 2019. doi: 10.1103/physreve.100.042305
    [3]
    T. Sui, D. Marelli, X. Sun, and M. Fu, “Multi-sensor state estimation over lossy channels using coded measurements,” Automatica, vol. 111, Art. no. 108561, Jan. 2020. doi: 10.1016/j.automatica.2019.108561
    [4]
    G. Solís-Perales, J. L. Zapata, and G. Obregón-Pulido, “Synchronization in time-varying and evolving complex networks,” Mathematics, vol. 8, no. 11, Art. no. 1939, Nov. 2020. doi: 10.3390/math8111939
    [5]
    K. Li, T. Shi, and X. Li, “Synchronization of topological signals on simplicial complexes with higher-dimensional simplices,” IEEE Trans. Netw. Sci. Eng., vol. 11, no. 1, pp. 1124−1135, Jan.−Feb. 2024. doi: 10.1109/TNSE.2023.3321140
    [6]
    Y. Cui, P. Cheng, and X. Ge, “Exponential synchronization of delayed stochastic complex dynamical networks via hybrid impulsive control,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 3, pp. 785−787, Mar. 2024. doi: 10.1109/JAS.2023.123867
    [7]
    T. T. Doan and C. L. Beck, “Distributed resource allocation over dynamic networks with uncertainty,” IEEE Trans. Autom. Control, vol. 66, no. 9, pp. 4378−4384, Sep. 2021. doi: 10.1109/TAC.2020.3041248
    [8]
    R. Herzallah, “Decentralised probabilistic consensus control for stochastic complex dynamical networks,” IEEE Control Syst. Lett., vol. 5, no. 2, pp. 577−582, Apr. 2021. doi: 10.1109/LCSYS.2020.3004234
    [9]
    D. Xu, X. Wang, and H. Su, “Delay event-triggered control for stability analysis of complex networks,” IEEE Trans. Circuits Syst. II: Express Briefs, vol. 70, no. 3, pp. 1104−1108, Mar. 2023. doi: 10.1109/tcsii.2022.3217066
    [10]
    D. Ding, Z. Tang, J. H. Park, and Z. Ji, “Quasi-bipartite synchronization of derivatively coupled complex dynamic networks: Memory-based self-triggered approach,” IEEE Trans. Syst. Man, Cybern.: Syst., vol. 54, no. 3, pp. 1611−1621, Mar. 2024. doi: 10.1109/TSMC.2023.3328426
    [11]
    Y.-J. Tang and X.-J. Li, “A neural network-based fault detection and isolation method for a class of unknown nonlinear systems with application to the tandem cold rolling process,” Int. J. Syst. Sci., vol. 57, no. 4, pp. 1056−1073, Jun. 2026. doi: 10.1080/00207721.2025.2520345
    [12]
    F. Cao, F. Jia, and X. He, “Sensor fault detection and diagnosis of linear parabolic PDE systems with unknown inputs,” IEEE Trans. Autom. Control, vol. 69, no. 2, pp. 1014−1021, Feb. 2024. doi: 10.1109/TAC.2023.3276773
    [13]
    D. Zhou, H. Ji, X. He, and J. Shang, “Fault detection and isolation of the brake cylinder system for electric multiple units,” IEEE Trans. Control Syst. Technol., vol. 26, no. 5, pp. 1744−1757, Sep. 2018. doi: 10.1109/TCST.2017.2718979
    [14]
    C. Li, Y. Liu, M. Gao, and L. Sheng, “Fault-tolerant formation consensus control for time-varying multi-agent systems with stochastic communication protocol,” Int. J. Netw. Dyn. Intell., vol. 3, no. 1, Art. no. 100004, 2024. doi: 10.53941/ijndi.2024.100004
    [15]
    J. Shi, C. Chen, M. Shen, and L. Li, “Distributed robust fault estimation for multiagent systems based on transition variable estimator,” IEEE Trans. Cybern., vol. 54, no. 1, pp. 415−422, Jan. 2024. doi: 10.1109/TCYB.2023.3241406
    [16]
    S. Li, Y. Chen, and P. X. Liu, “Fault estimation and fault-tolerant tracking control for multi-agent systems with Lipschitz nonlinearities using double periodic event-triggered mechanism,” IEEE Trans. Signal Inf. Process. Netw., vol. 9, pp. 229−241, Jan. 2023. doi: 10.1109/tsipn.2023.3264992
    [17]
    Q. Liu, Z. Wang, H. Dong, and C. Jiang, “Distributed Kalman filtering under two-bitrate periodic coding strategies,” IEEE Trans. Autom. Control, vol. 69, no. 12, pp. 8633−8646, Dec. 2024. doi: 10.1109/TAC.2024.3413009
    [18]
    C. Huang, S. Coskun, H. R. Karimi, and W. Ding, “A distributed state and fault estimation scheme for state-saturated systems with quantized measurements over sensor networks,” Inf. Fusion, vol. 110, Art. no. 102452, Oct. 2024. doi: 10.1016/j.inffus.2024.102452
    [19]
    Z. Gu, P. Shi, D. Yue, S. Yan, and X. Xie, “Fault estimation and fault-tolerant control for networked systems based on an adaptive memory-based event-triggered mechanism,” IEEE Trans. Netw. Sci. Eng., vol. 8, no. 4, pp. 3233−3241, Oct.−Dec. 2021. doi: 10.1109/TNSE.2021.3107935
    [20]
    H. Ferdowsi, J. Cai, and S. Jagannathan, “Adaptive resilient control for a class of nonlinear distributed parameter systems with actuator faults,” Syst. Sci. Control Eng., vol. 12, no. 1, Art. no. 2301526, Jan. 2024. doi: 10.1080/21642583.2023.2301526
    [21]
    R. Sakthivel, N. Aravinth, V. Thilagamani, and R. Sasirekha, “Observer-based fault tolerant control design for periodic piecewise time-varying systems: A fault estimation approach,” Int. J. Syst. Sci., vol. 54, no. 7, pp. 1513−1530, Feb. 2023. doi: 10.1080/00207721.2023.2180336
    [22]
    H. Geng, Z. Wang, J. Hu, Q.-L Han, and Y. Cheng, “Variance-constrained filter design with sensor resolution under round-robin communication protocol: An outlier-resistant mechanism,” IEEE Trans. Syst. Man, Cybern.: Syst., vol. 53, no. 6, pp. 3762−3773, Jun. 2023. doi: 10.1109/TSMC.2023.3234461
    [23]
    H. A. P. Blom and E. A. Bloem, “Exact Bayesian filter and joint IMM coupled PDA tracking of maneuvering targets from possibly missing and false measurements,” Automatica, vol. 42, no. 1, pp. 127−135, Jan. 2006. doi: 10.1016/j.automatica.2005.08.008
    [24]
    Y. Shen, Z. Wang, H. Liu, H. Dong, and X. Yi, “Recursive state estimation for multi-rate time-varying systems with multiplicative noises: Dealing with sensor resolutions,” Int. J. Robust Nonlinear Control, vol. 32, no. 10, pp. 6110−6126, Apr. 2022. doi: 10.1002/rnc.6128
    [25]
    J. G. Su, P. Dadvand, M. J. Nieuwenhuijsen, X. Bartoll, and M. Jerrett, “Associations of green space metrics with health and behavior outcomes at different buffer sizes and remote sensing sensor resolutions,” Environ. Int., vol. 126, pp. 162−170, May 2019. doi: 10.1016/j.envint.2019.02.008
    [26]
    H. Chen, Z. Wang, B. Shen, and J. Liang, “Distributed recursive filtering over sensor networks with nonlogarithmic sensor resolution,” IEEE Trans. Autom. Control, vol. 67, no. 10, pp. 5408−5415, Oct. 2022. doi: 10.1109/TAC.2021.3115473
    [27]
    Y. Shen, Z. Wang, H. Dong, H. Liu, and X. Liu, “Joint state and unknown input estimation for a class of artificial neural networks with sensor resolution: An encoding-decoding mechanism,” IEEE Trans. Neural Netw. Learn. Syst., vol. 36, no. 2, pp. 3671−3681, Feb. 2025. doi: 10.1109/TNNLS.2023.3348752
    [28]
    A. E. Canbilen, S. S. Ikki, E. Basar, S. S. Gultekin, and I. Develi, “Impact of I/Q imbalance on amplify-and-forward relaying: Optimal detector design and error performance,” IEEE Trans. Commun., vol. 67, no. 5, pp. 3154−3166, May 2019. doi: 10.1109/TCOMM.2019.2897797
    [29]
    L. Pinals, A. A. Al Haija, and M. Vu, “Link regime and power savings of decode-forward relaying in fading channels,” IEEE Trans. Commun., vol. 64, no. 3, pp. 931−946, Mar. 2016. doi: 10.1109/TCOMM.2015.2503392
    [30]
    D. Hwang, C. Y. Oh, and T. J. Lee, “MIMO precoding and relay selection for the decode-and-forward relay networks,” IEEE Wireless Commun. Lett., vol. 2, no. 5, pp. 531−534, Oct. 2013. doi: 10.1109/WCL.2013.070113.130266
    [31]
    Y. Liu, Z. Wang, C. Liu, M. Coombes, and W.-H Chen, “Auxiliary particle filtering over sensor networks under protocols of amplify-and-forward and decode-and-forward relays,” IEEE Trans. Signal Inf. Process. Netw., vol. 8, pp. 883−893, Jan. 2022. doi: 10.1109/tsipn.2022.3212318
    [32]
    X. Meng, Z. Wang, F. Wang, and Y. Chen, “Finite-horizon H∞ state estimation for complex networks with uncertain couplings and packet losses: Handling amplify-and-forward relays,” IEEE Trans. Neural Netw. Learn. Syst., vol. 35, no. 12, pp. 17493−17503, Dec. 2024. doi: 10.1109/TNNLS.2023.3304515
    [33]
    M. Dai, C. W. Sung, and Y. Wang, “Distributed on-off power control for amplify-and-forward relays with orthogonal space-time block code,” IEEE Trans. Wireless Commun., vol. 10, no. 6, pp. 1895−1903, Jun. 2011. doi: 10.1109/TWC.2011.040511.101285
    [34]
    H. Cui, R. Zhang, L. Song, and B. Jiao, “Capacity analysis of bidirectional AF relay selection with imperfect channel state information,” IEEE Wireless Commun. Lett., vol. 2, no. 3, pp. 255−258, Jun. 2013. doi: 10.1109/WCL.2013.020513.120933
    [35]
    F. Han, Z. Wang, H. Liu, H. Dong, and G. Lu, “A recursive matrix inequality approach to distributed filtering over binary sensor networks: Handling amplify-and-forward relays,” IEEE Trans. Netw. Sci. Eng., vol. 11, no. 1, pp. 1347−1362, Jan.−Feb. 2024. doi: 10.1109/TNSE.2023.3322378
    [36]
    Y. Liu, Z. Wang, and D. Zhou, “Resilient actuator fault estimation for discrete-time complex networks: A distributed approach,” IEEE Trans. Autom. Control, vol. 66, no. 9, pp. 4214−4221, Sep. 2021. doi: 10.1109/TAC.2020.3033710
    [37]
    G. Li, Z. Wang, X. Bai, Z. Zhao, and Y. Wang, “A recursive filtering approach to power harmonic detection with stochastic communication delays: Tackling amplify-and-forward relays,” Automatica, vol. 171, Art. no. 111968, Jan. 2025. doi: 10.1016/j.automatica.2024.111968
    [38]
    J. Zhang, X. He, and D. Zhou, “Filtering for stochastic uncertain systems with non-logarithmic sensor resolution,” Automatica, vol. 89, pp. 194−200, Mar. 2018. doi: 10.1016/j.automatica.2017.12.005
    [39]
    F. Wang, Z. Wang, J. Liang, and J. Yang, “Locally minimum-variance filtering of 2-D systems over sensor networks with measurement degradations: A distributed recursive algorithm,” IEEE Trans. Cybern., vol. 52, no. 2, pp. 996−1008, Feb. 2022. doi: 10.1109/TCYB.2020.2989207
    [40]
    Q. Li, Z. Wang, H. Dong, and W. Sheng, “Recursive filtering for complex networks with time-correlated fading channels: An outlier-resistant approach,” Inf. Sci., vol. 615, pp. 348−367, Nov. 2022. doi: 10.1016/j.ins.2022.10.023
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