The outlier-resistant ultimately bounded filtering for networked systems with communication protocol

Abstract

Abstract: The problem of outlier-resistant ultimately bounded filtering for nonlinear discrete systems under a stochastic communication protocol is investigated. First of all, the stochastic communication protocol is introduced to rationally schedule data transmission of sensor nodes to mitigate data congestion. In addition, the filter structure with an adaptive saturation threshold is designed to suppress the influence of measurement outliers on the filtering performance. On this basis, the dynamic filtering error system model is established that accounts for both outlier-resistant mechanism and the stochastic communication protocol mechanism in nonlinear discrete systems. Subsequently, the sufficient condition for the ultimate boundedness of the dynamic filtering error system is obtained by establishing a suitable Lyapunov function and utilizing the linear matrix inequality technique. Furthermore, the filtering gain matrices with satisfactory filtering performance are obtained by solving an optimization problem. Finally, the effectiveness and superiority of the proposed adaptive outlier-resistant filtering algorithm are verified by simulation.

Key words: networked control systems, ultimately bounded filtering, measurement outliers, stochastic communication protocol

CLC Number:

TP273

WANG Zhi-wen, HAO Meng-lu, ZHANG Pan. The outlier-resistant ultimately bounded filtering for networked systems with communication protocol[J]. Journal of Lanzhou University of Technology, 2026, 52(2): 70-78.

Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks

URL: https://journal.lut.edu.cn/EN/

https://journal.lut.edu.cn/EN/Y2026/V52/I2/70

References

[1] ALITE G,CUENCA Á,SALT J,et al.Resource-efficient path-following control for a self-driving car in a networked control system [J].IEEE Access,2023,11:108011-108023.
[2] CHEN W L,LI X J.Data-driven control for networked systems with multiple packet dropouts [J].International Journal of Robust and Nonlinear Control,2023,33(12):7357-7373.
[3] 祝超群,李留洋,金辉.具有通信约束的网络化系统动态输出反馈控制 [J].兰州理工大学学报,2021,47(1):83-90.
[4] LI Z M,XIONG J.Event-triggered fuzzy filtering for nonlinear networked systems with dynamic quantization and stochastic cyber attacks [J].ISA Transactions,2022,121:53-62.
[5] 相赟,林崇,陈兵.自适应事件触发网络化非线性系统滤波器设计 [J].控制理论与应用,2021,38(1):1-12.
[6] GU G X,TANG Y,QIAN F.Kalman filtering over the random delay and packet drop channel [J].SIAM Journal on Control and Optimization,2021,59(4):2454-2476.
[7] 张冬梅,茹安狄,程善.通信受限下网络化多传感器系统序贯卡尔曼滤波加权融合 [J].控制与决策,2017,32(12):2162-2168.
[8] TIAN Y F,WANG Z S.Robust H_∞ filtering for singular Markovian jump systems via decoupling and substitution principles [J].International Journal of Robust and Nonlinear Control,2021,31(8):3179-3194.
[9] XU Q Y,GE L S.Dynamic event-triggered H_∞ filtering for discrete-time singular networked control system subject to cyberattacks [J].Transactions of the Institute of Measurement and Control,2023,45(2):363-373.
[10] HAN C,CHEN D Y,HU J,et al.Set membership filtering for discrete saturated time-varying networked systems with incomplete measurements under round-robin protocol [J].Asian Journal of Control,2023,25(6):4721-4732.
[11] 颛美斐,陈东彦,胡军.具有衰减测量和随机时滞的离散非线性复杂网络的保概率集员滤波 [J].系统科学与数学,2022,42(8):1960-1972.
[12] ZOU L,WANG Z,HU J,et al.Ultimately bounded filtering subject to impulsive measurement outliers [J].IEEE Transactions on Automatic Control,2022,67(1):304-319.
[13] ZHANG D,YANG H T.Ultimately bounded filtering for nonlinear systems subject to integral-type event-triggered mechanism and dynamic quantization [J].IEEE Sensors Journal,2023,23(22):27574-27580.
[14] WEI B,TIAN E G,ZHANG T,et al.Probabilistic-constrained H_∞ tracking control for a class of stochastic nonlinear systems subject to DoS attacks and measurement outliers [J].IEEE Transactions on Circuits and Systems I:Regular Papers,2021,68(10):4381-4392.
[15] CHEN W L,HU J,YU X Y,et al.Robust fault detection for uncertain delayed systems with measurement outliers under stochastic communication protocol [J].IEEE Transactions on Signal and Information ProcessingOver Networks,2022,8:684-701.
[16] FU H J,LI J H,HAN F,et al.Outlier-resistant observer-based H_∞ PID control under stochastic communication protocol [J].Applied Mathematics and Computation,2021,411:126535.
[17] ZHU M Z,CHEN Y,KONG Y G,et al.Distributed filtering for Markov jump systems with randomly occurring one-sided Lipschitz nonlinearities under round-robin scheduling [J].Neurocomputing,2020,417:396-405.
[18] REN X X,YANG G H.Multi-sensor Kalman filtering over packet-dropping networks subject to round-robin protocol scheduling [J].Journal of the Franklin Institute-Engineering and Applied Mathematics,2021,358(15):7938-7954.
[19] WU B,CHANG X H,ZHAO X D.Fuzzy H_∞ output feedback control for nonlinear NCSs with quantization and stochastic communication protocol [J].IEEE Transactions on Fuzzy Systems,2021,29(9):2623-2634.
[20] JU Y M,LIU D,DING D R,et al.Distributed cubature Kalman filtering for nonlinear systems with stochastic communication protocol [J].Asian Journal of Control,2022,24(6):3566-3579.
[21] LI M Y,LIANG J L,QIU J L.Set-membership filtering for 2-D systems under uniform quantization and weighted try-once-discard protocol [J].IEEE Transactions on Circuits and Systems II:Express Briefs,2023,70(9):3474-3478.
[22] SHEN H,RU T T,XIA J W,et al.Finite-time energy-to-peak quantized filtering for Markov jump networked systems under weighted try-once-discard protocol [J].International Journal of Robust and Nonlinear Control,2021,31(10):4951-4964.
[23] ZHU C Q,ZHANG P,LU Z B,et al.Recursive filtering for time-varying systems with mixed time-delays subject to stochastic communication protocol and dynamic quantization effects [J].Proceedings of the Institution of Mechanical Engineers Part Ⅰ:Journal of Systems and Control Engineering,2024,238(1):112-129.
[24] ZOU L,WANG Z D,HAN Q L,et al.Ultimate boundedness control for networked systems with try-once-discard protocol and uniform quantization effects [J].IEEE Transactions on Automatic Control,2017,62(12):6582-6588.
[25] TARBOURIECH S,PRIEUR C,GOMES DA SILVA J M.Stability analysis and stabilization of systems presenting nested saturations [J].IEEE Transactions on Automatic Control,2006,51(8):1364-1371.
[26] GE X H,HAN Q L,WANG Z D.A dynamic event-triggered transmission scheme for distributed set-membership estimation over wireless sensor networks [J].IEEE Transactions on Cybernetics,2019,49(1):171-183.