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Protocol-based fault detection for state-saturated systems with sensor nonlinearities and redundant channels. (English) Zbl 1545.93603

Summary: This paper is concerned with the protocol-based fault detection (FD) issue for state-saturated delayed nonlinear systems with both redundant channels and sensor nonlinearities. Specifically, in pursuit of relieving the communication pressure, the stochastic communication protocol is adopted, which can regulate the transmission of output signal during the communication process. Moreover, for the purpose of decreasing the negative impact of one channel failure on network communication and enhancing data reliability, the redundant channels transmission is introduced. Then, the protocol-based FD filter is constructed such that the resultant FD attains the global asymptotic stability in mean-square sense and satisfies the \(H_\infty\) performance index. Moreover, an implement-to-easy algorithm is developed to facilitate the solvability of the desirable FD filtering method. In the end, two illustrative examples are utilized to demonstrate the validity of the developed FD filtering algorithm.

MSC:

93E10 Estimation and detection in stochastic control theory
93E11 Filtering in stochastic control theory
Full Text: DOI

References:

[1] Liu, J.; Wu, Z.-G.; Yue, D.; Park, J. H., Stabilization of networked control systems with hybrid-driven mechanism and probabilistic cyber attacks, IEEE Trans. Syst. Man Cybern. Syst., 51, 2, 943-953, 2021
[2] Ma, M.; Wang, T.; Qiu, J.; Karimi, H. R., Adaptive fuzzy decentralized tracking control for large-scale interconnected nonlinear networked control systems, IEEE Trans. Fuzzy Syst., 29, 10, 3186-3191, 2021
[3] Ren, C.; Park, J. H.; He, S., Positiveness and finite-time control of dual-switching Poisson jump networked control systems with time-varying delays and packet drops, IEEE Trans. Control Netw. Syst., 9, 2, 575-587, 2022
[4] Zhao, N.; Shi, P.; Xing, W.; Chambers, J., Observer-based event-triggered approach for stochastic networked control systems under denial of service attacks, IEEE Trans. Control Netw. Syst., 8, 1, 158-167, 2021 · Zbl 07588083
[5] Wang, Y.-L.; Shi, P.; Lim, C.-C.; Liu, Y., Event-triggered fault detection filter design for a continuous-time networked control system, IEEE Trans. Cybern., 46, 12, 3414-3426, 2016
[6] Shakiba, F. M.; Shojaee, M.; Azizi, S. M.; Zhou, M., Real-time sensing and fault diagnosis for transmission lines, Int. J. Netw. Dyn. Intell., 1, 1, 36-47, 2022
[7] Chen, Y.; Zhang, D.; Yan, R., Domain adaptation networks with parameter-free adaptively rectified linear units for fault diagnosis under variable operating conditions, IEEE Trans. Neural Netw. Learn. Syst., 2023
[8] Cai, M.; He, X.; Zhou, D., Performance-improved finite-time fault-tolerant control for linear uncertain systems with intermittent faults: an overshoot suppression strategy, Int. J. Syst. Sci., 53, 16, 3408-3425, 2022 · Zbl 1519.93197
[9] Chen, Y.; Zhang, D.; Zhang, H.; Wang, Q.-G., Dual-path mixed-domain residual threshold networks for bearing fault diagnosis, IEEE Trans. Ind. Electron., 69, 12, 13462-13472, 2022
[10] Gao, X. Z.; Wang, X.; Zenger, K., Motor fault diagnosis using negative selection algorithm, Neural Comput. Appl., 25, 1, 55-65, 2014
[11] Chen, Y.; Zhang, D.; Zhu, K.; Yan, R., An adaptive activation transfer learning approach for fault diagnosis, IEEE/ASME Trans. Mechatron., 2023
[12] Dong, S.; Wu, Z.-G.; Shi, P.; Karimi, H. R.; Su, H., Networked fault detection for Markov jump nonlinear systems, IEEE Trans. Fuzzy Syst., 26, 6, 3368-3378, 2018
[13] Pan, Y.; Yang, G.-H., Event-triggered fault detection filter design for nonlinear networked systems, IEEE Trans. Syst. Man Cybern. Syst., 48, 11, 1851-1862, 2018
[14] Zhang, Y.; Wang, Z.; Alsaadi, F. E., Detection of intermittent faults for nonuniformly sampled multi-rate systems with dynamic quantisation and missing measurements, Int. J. Control, 93, 4, 898-909, 2020 · Zbl 1436.93134
[15] Niu, Y.; Ho, D. W.C.; Li, C. W., Filtering for discrete fuzzy stochastic systems with sensor nonlinearities, IEEE Trans. Fuzzy Syst., 18, 5, 971-978, 2010
[16] Wang, Z.; Xu, Y.; Lu, R.; Peng, H., Finite-time state estimation for coupled Markovian neural networks with sensor nonlinearities, IEEE Trans. Neural Netw. Learn. Syst., 28, 3, 630-638, 2017
[17] Li, Y.; Liu, X.; Peng, L., An event-triggered fault detection approach in cyber-physical systems with sensor nonlinearities and deception attacks, Electronics, 7, 9, Article 168 pp., 2018
[18] Pan, Y.; Li, H.; Zhou, Q., Fault detection for interval type-2 fuzzy systems with sensor nonlinearities, Neurocomputing, 145, 488-494, 2014
[19] Wan, X.; Fang, H.; Fu, S., Observer-based fault detection for networked discrete-time infinite-distributed delay systems with packet dropouts, Appl. Math. Model., 36, 1, 270-278, 2012 · Zbl 1236.93146
[20] Xiong, S.; Chen, M.; Wu, Q., Predictive control for networked switch flight system with packet dropout, Appl. Math. Comput., 354, 444-459, 2019 · Zbl 1428.93056
[21] Lin, A.; Cheng, J.; Park, J. H.; Yan, H.; Qi, W., Fault detection filtering of nonhomogeneous Markov switching memristive neural networks with output quantization, Inf. Sci., 632, 715-729, 2023 · Zbl 1536.93922
[22] Chang, X.-H.; Yang, G.-H., Nonfragile \( H_\infty\) filter design for T–S fuzzy systems in standard form, IEEE Trans. Ind. Electron., 61, 7, 3448-3458, 2014
[23] Geng, H.; Liu, H.; Ma, L.; Yi, X., Multi-sensor filtering fusion meets censored measurements under a constrained network environment: advances, challenges and prospects, Int. J. Syst. Sci., 52, 16, 3410-3436, 2021 · Zbl 1483.93643
[24] Cheng, J.; Park, J. H.; Chadli, M., Peak-to-peak fuzzy filtering of nonlinear discrete-time systems with Markov communication protocol, Inf. Sci., 607, 361-376, 2022 · Zbl 1533.93795
[25] Arumugam, A.; Liu, Y.; Rathinasamy, S.; Venkatesh, N.; Alsaadi, F. E., Distributed event-triggered nonfragile \( H_\infty\) control for networked nonlinear systems with energy constraints and redundant channels: observer-based case, Int. J. Robust Nonlinear Control, 30, 17, 7150-7168, 2020 · Zbl 1525.93233
[26] Song, Y.; Wang, Z.; Ding, D.; Wei, G., Robust model predictive control under redundant channel transmission with applications in networked DC motor systems, Int. J. Robust Nonlinear Control, 26, 18, 3937-3957, 2016 · Zbl 1351.93047
[27] Shen, H.; Li, F.; Cao, J.; Wu, Z.-G.; Lu, G., Fuzzy-model-based output feedback reliable control for network-based semi-Markov jump nonlinear systems subject to redundant channels, IEEE Trans. Cybern., 50, 11, 4599-4609, 2020
[28] Li, M.; Liang, J., State estimation for 2-D uncertain systems with redundant channels and deception attacks: a set-membership method, Appl. Math. Comput., 457, Article 128190 pp., 2023 · Zbl 1545.94045
[29] Shen, H.; Huo, S.; Cao, J.; Huang, T., Generalized state estimation for Markovian coupled networks under round-Robin protocol and redundant channels, IEEE Trans. Cybern., 49, 4, 1292-1301, 2019
[30] Sun, T.; Zhu, Y.; Zhou, D., Observer-based fault detection for discrete-time networked switching systems with redundant channels, IFAC-PapersOnLine, 51, 24, 763-769, 2018
[31] Ding, D.; Wang, Z.; Han, Q.-L., A set-membership approach to event-triggered filtering for general nonlinear systems over sensor networks, IEEE Trans. Autom. Control, 65, 4, 1792-1799, 2020 · Zbl 1533.93453
[32] Liu, D.; Wang, Z.; Liu, Y.; Alsaadi, F. E., Recursive filtering for stochastic parameter systems with measurement quantizations and packet disorders, Appl. Math. Comput., 398, Article 125960 pp., 2021 · Zbl 1508.93305
[33] Wang, X.; Sun, Y.; Ding, D., Adaptive dynamic programming for networked control systems under communication constraints: a survey of trends and techniques, Int. J. Netw. Dyn. Intell., 1, 1, 85-98, 2022
[34] Wen, P.; Li, X.; Hou, N.; Mu, S., Distributed recursive fault estimation with binary encoding schemes over sensor networks, Syst. Sci. Control Eng., 10, 1, 417-427, 2022
[35] Zou, L.; Wang, Z.; Zhou, D. H., Moving horizon estimation with non-uniform sampling under component-based dynamic event-triggered transmission, Automatica, 120, Article 109154 pp., 2020 · Zbl 1448.93191
[36] Li, T.-F.; Ding, L.; Chang, X.-H.; Park, J. H., Finite-time dissipative control of fuzzy distributed parameter CPSs with quantization under cyber attacks, Int. J. Robust Nonlinear Control, 33, 17, 10550-10566, 2023 · Zbl 1534.93396
[37] Qiu, Y.; Park, J. H.; Hua, C.; Wang, X., Stability analysis of time-varying delay T-S fuzzy systems via quadratic-delay-product method, IEEE Trans. Fuzzy Syst., 31, 1, 129-137, 2023
[38] Wang, D.; Wang, Z.; Wang, Z.; Wang, W., Design of hybrid event-triggered containment controllers for homogeneous and heterogeneous multiagent systems, IEEE Trans. Cybern., 51, 10, 4885-4896, 2021
[39] Shen, B.; Wang, Z.; Wang, D.; Li, Q., State-saturated recursive filter design for stochastic time-varying nonlinear complex networks under deception attacks, IEEE Trans. Neural Netw. Learn. Syst., 31, 10, 3788-3800, 2020
[40] Suo, J.; Li, N., Observer-based synchronisation control for discrete-time delayed switched complex networks with coding-decoding approach, Int. J. Syst. Sci., 53, 13, 2711-2728, 2022 · Zbl 1504.93362
[41] Wang, X.; Park, J. H.; Li, H., Fuzzy secure event-triggered control for networked nonlinear systems under DoS and deception attacks, IEEE Trans. Syst. Man Cybern. Syst., 53, 7, 4165-4175, 2023
[42] Zhang, J.; Peng, C., Guaranteed cost control of uncertain networked control systems with a hybrid communication scheme, IEEE Trans. Syst. Man Cybern. Syst., 50, 9, 3126-3135, 2020
[43] Li, Z. M.; Chang, X. H.; Park, J. H., Quantized static output feedback fuzzy tracking control for discrete-time nonlinear networked systems with asynchronous event-triggered constraints, IEEE Trans. Syst. Man Cybern. Syst., 51, 6, 3820-3831, 2021
[44] Cheng, J.; Park, J. H.; Yan, H.; Wu, Z.-G., An event-triggered round-Robin protocol to dynamic output feedback control for nonhomogeneous Markov switching systems, Automatica, 145, Article 110525 pp., 2022 · Zbl 1498.93450
[45] Lu, Y.; Karimi, H. R.; Komurcugil, H., Measurement outlier-resistant mobile robot localization using multiple Doppler-azimuth radars under round-Robin protocol, ISA Trans., 137, 175-185, 2023
[46] Shen, M.; Wang, X.; Park, J. H.; Yang, Y.; Che, W., Extended disturbance-observer-based data-driven control of networked nonlinear systems with event-triggered output, IEEE Trans. Syst. Man Cybern. Syst., 53, 5, 3129-3140, 2023
[47] Chen, W.; Hu, J.; Yu, X.; Chen, D.; Wu, Z., Robust fault detection for uncertain delayed systems with measurement outliers under stochastic communication protocol, IEEE Trans. Signal Inf. Process. Netw., 8, 684-701, 2022
[48] Ju, Y.; Wei, G.; Ding, D.; Zhang, S., Fault detection for discrete time-delay networked systems with round-Robin protocol in finite-frequency domain, Int. J. Syst. Sci., 50, 13, 2497-2509, 2019 · Zbl 1483.93362
[49] Long, Y.; Park, J. H.; Ye, D., Frequency-dependent fault detection for networked systems under uniform quantization and try-once-discard protocol, Int. J. Robust Nonlinear Control, 30, 2, 787-803, 2020 · Zbl 1440.93156
[50] Li, J.-Y.; Lu, R.; Xu, Y.; Peng, H.; Rao, H.-X., Distributed state estimation for periodic systems with sensor nonlinearities and successive packet dropouts, Neurocomputing, 237, 50-58, 2017
[51] Zou, L.; Wang, Z.; Gao, H., Observer-based \( H_\infty\) control of networked systems with stochastic communication protocol: the finite-horizon case, Automatica, 63, 366-373, 2016 · Zbl 1329.93041
[52] Ji, X.; Liu, T.; Sun, Y.; Su, H., Stability analysis and controller synthesis for discrete linear time-delay systems with state saturation nonlinearities, Int. J. Syst. Sci., 42, 3, 397-406, 2011 · Zbl 1209.93128
[53] Wang, Z.; Wang, Y.; Liu, Y., Global synchronization for discrete-time stochastic complex networks with randomly occurred nonlinearities and mixed time delays, IEEE Trans. Neural Netw., 21, 1, 11-25, 2010
[54] Ding, D.; Wang, Z.; Shen, B.; Shu, H., State-saturated \( H_\infty\) filtering with randomly occurring nonlinearities and packet dropouts: the finite-horizon case, Int. J. Robust Nonlinear Control, 23, 16, 1803-1821, 2012 · Zbl 1285.93096
[55] Zhao, H.; Zhong, M.; Zhang, M., \( H_\infty\) fault detection for linear discrete time-varying systems with delayed state, IET Control Theory Appl., 4, 11, 2303-2314, 2010
[56] Ahmadizadeh, S.; Zarei, J.; Karimi, H. R., Robust fault detection of linear uncertain time-delay systems using unknown input observers, J. Appl. Math., 2013, Article 829715 pp., 2013 · Zbl 1397.93077
[57] Ma, C.; Chen, S.; Liu, W., Maximum allowable delay bound of networked control systems with multi-step delay, Simul. Model. Pract. Theory, 15, 5, 513-520, 2007
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