| Title:
|
Fault estimation for time-varying systems with Round-Robin protocol (English) |
| Author:
|
Fu, Haijing |
| Author:
|
Dong, Hongli |
| Author:
|
Song, Jinbo |
| Author:
|
Hou, Nan |
| Author:
|
Li, Gongfa |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
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1805-949X (online) |
| Volume:
|
56 |
| Issue:
|
1 |
| Year:
|
2020 |
| Pages:
|
107-126 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper is concerned with the design problem of finite-horizon $H_\infty$ fault estimator for a class of nonlinear time-varying systems with Round-Robin protocol scheduling. The faults are assumed to occur in a random way governed by a Bernoulli distributed white sequence. The communication between the sensor nodes and fault estimators is implemented via a shared network. In order to prevent the data from collisions, a Round-Robin protocol is utilized to orchestrate the transmission of sensor nodes. By means of the stochastic analysis technique and the completing squares method, a necessary and sufficient condition is established for the existence of fault estimator ensuring that the estimation error dynamics satisfies the prescribed $H_\infty$ constraint. The time-varying parameters of fault estimator are obtained by recursively solving a set of coupled backward Riccati difference equations. A simulation example is given to demonstrate the effectiveness of the proposed design scheme of the fault estimator. (English) |
| Keyword:
|
fault estimation |
| Keyword:
|
Round--Robin protocol |
| Keyword:
|
randomly occurring faults |
| Keyword:
|
Riccati difference equations |
| Keyword:
|
nonlinear time-varying system |
| MSC:
|
93C10 |
| MSC:
|
93E10 |
| idZBL:
|
Zbl 07217213 |
| idMR:
|
MR4091786 |
| DOI:
|
10.14736/kyb-2020-1-0107 |
| . |
| Date available:
|
2020-05-20T15:34:52Z |
| Last updated:
|
2021-03-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148099 |
| . |
| Reference:
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[1] Bu, X., Dong, H., Han, F., Hou, N., Li, G.: Distributed filtering for time-varying systems over sensor networks with randomly switching topologies under the Round-Robin protocol..Neurocomputing 346 (2019), 58-64. MR 4044317, 10.1016/j.neucom.2018.07.087 |
| Reference:
|
[2] Chen, W., Ding, D., Ge, X., Han, Q.-L., Wei, G.: H-infinity containment control of multi-agent systems under event-triggered communication scheduling: The finite-horizon case..IEEE Trans. Cybernetics (2018), 1-11. 10.1109/tcyb.2018.2885567 |
| Reference:
|
[3] Ding, D., Han, Q.-L., Wang, Z., Ge, X.: A survey on model-based distributed control and filtering for industrial cyber-physical systems..IEEE Trans. Industr. Inform. 15 (2019), 2483-2499. 10.1109/tii.2019.2905295 |
| Reference:
|
[4] Ding, D., Wang, Z., Han, Q.-L.: A set-membership approach to event-triggered filtering for general nonlinear systems over sensor networks..IEEE Trans. Automat. Control (2019), 1. 10.1109/tac.2019.2934389 |
| Reference:
|
[5] Ding, D., Wang, Z., Han, Q.-L., Wei, G.: Neural-network-based output-feedback control under Round-Robin scheduling protocols..IEEE Trans. Cybernetics 49 (2019), 2372-2384. 10.1109/tcyb.2018.2827037 |
| Reference:
|
[6] Dong, H., Hou, N., Wang, Z.: Fault estimation for complex networks with randomly varying topologies and stochastic inner couplings..Automatica 112 (2020), 108734. MR 4043012, 10.1016/j.automatica.2019.108734 |
| Reference:
|
[7] Dong, H., Hou, N., Wang, Z., Liu, H.: Finite-horizon fault estimation under imperfect measurements and stochastic communication protocol: Dealing with finite-time boundedness..Int. J. Robust Nonlinear Control 29 (2019), 117-134. MR 3886112, 10.1002/rnc.4382 |
| Reference:
|
[8] Dong, H., Wang, Z., Ding, S. X., Gao, H.: Finite-horizon estimation of randomly occurring faults for a class of nonlinear time-varying systems..Automatica 50 (2014), 3182-3189. MR 3284153, 10.1016/j.automatica.2014.10.026 |
| Reference:
|
[9] Dong, H., Wang, Z., Ding, S. X., Gao, H.: On $H_\infty$ estimation of randomly occurring faults for a class of nonlinear time-varying systems with fading channels..IEEE Trans. Automat. Control 61 (2015), 479-484. MR 3454754, 10.1109/tac.2015.2437526 |
| Reference:
|
[10] Gao, M., Yang, S., Sheng, L., Zhou, D.: Fault diagnosis for time-varying systems with multiplicative noises over sensor networks subject to Round-Robin protocol..Neurocomputing 346 (2019), 65-72. 10.1016/j.neucom.2018.08.087 |
| Reference:
|
[11] Ge, X., Han, Q.-L., Wang, Z.: A threshold-parameter-dependent approach to designing distributed event-triggered $H_\infty$ consensus filters over sensor networks..IEEE Trans. Cybernetics 49 (2019), 1148-1159. 10.1109/tcyb.2017.2789296 |
| Reference:
|
[12] Ge, X., Han, Q.-L., Wang, Z.: A dynamic event-triggered transmission scheme for distributed set-membership estimation over wireless sensor networks..IEEE Trans. Cybernetics 49 (2019), 171-183. 10.1109/tcyb.2017.2769722 |
| Reference:
|
[13] Hou, N., Wang, Z., Ho, D. W. C., Dong, H.: Robust Partial-Nodes-Based state estimation for complex networks under deception attacks..IEEE Trans. Cybernetics (2019), 1-10. 10.1109/TCYB.2019.2918760 |
| Reference:
|
[14] Hu, J., Wang, Z., Gao, H.: Joint state and fault estimation for time-varying nonlinear systems with randomly occurring faults and sensor saturations..Automatica 97 (2018), 150-160. MR 3857456, 10.1016/j.automatica.2018.07.027 |
| Reference:
|
[15] Li, J., Dong, H., Wang, Z., Bu, X.: Partial-Neurons-Based passivity-guaranteed state estimation for neural networks with randomly occurring time-delays..IEEE Trans. Neural Networks Learn. Systems (2019), 1-7. 10.1109/tnnls.2019.2944552 |
| Reference:
|
[16] Li, J., Dong, H., Wang, Z., Hou, N., Alsaadi, F. E.: On passivity and robust passivity for discrete-time stochastic neural networks with randomly occurring mixed time delays..Neural Computing Appl. 31 (2019), 65-78. 10.1007/s00521-017-2980-1 |
| Reference:
|
[17] Li, Q., Shen, B., Wang, Z., Huan, T., Luo, J.: Synchronization control for a class of discrete time-delay complex dynamical networks: A dynamic event-triggered approach..IEEE Trans. Cybernetics 49 (2019), 1979-1986. MR 3891660, 10.1109/tcyb.2018.2818941 |
| Reference:
|
[18] Li, Y., Karimi, H. R., Zhang, Q., Zhao, D., Li, Y.: Fault detection for linear discrete time-varying systems subject to random sensor delay: a Riccati equation approach..IEEE Trans. Circuits and Systems I: Regular Papers 65 (2018), 1707-1716. 10.1109/tcsi.2017.2763625 |
| Reference:
|
[19] Li, Z., Shu, H., Kan, X.: $H_\infty$ fault detection with randomly occurring nonlinearities and channel fadings..Int. J. Systems Sci. 45 (2014), 1416-1426. MR 3219744, 10.1109/tcsi.2017.2763625 |
| Reference:
|
[20] Liu, Q., Wang, Z., He, X., Zhou, D.: Event-based distributed filtering over markovian switching topologies..IEEE Trans. Automat. Control 64 (2018), 99-115. MR 3936432, 10.1007/978-3-030-00157-5\_6 |
| Reference:
|
[21] Liu, Q., Wang, Z., He, X., Zhou, D.: Event-triggered resilient filtering with measurement quantization and random sensor failures: Monotonicity and convergence..Automatica 94 (2018), 458-464. MR 3810997, 10.1016/j.automatica.2018.03.031 |
| Reference:
|
[22] Liu, Y., Wang, Z., Zhou, D.: UIO-based fault estimation for a class of time-varying systems with event-triggered transmissions..IFAC-PapersOnLine 51 (2018), 46-51. 10.1016/j.ifacol.2018.09.527 |
| Reference:
|
[23] Penrose, R., Todd, J. A.: On best approximate solutions of linear matrix equations..Math. Proc. Cambridge Philosoph. Soc. 52 (1956), 17-19. MR 0074092, 10.1017/s0305004100030929 |
| Reference:
|
[24] Shen, B., Wang, Z., Wang, D., Luo, J.: Finite-horizon filtering for a class of nonlinear time-delayed systems with an energy harvesting sensor..Automatica 100 (2019), 144-152. MR 3881144, 10.1016/j.automatica.2018.11.010 |
| Reference:
|
[25] Shen, Y., Wang, Z., Shen, B., Alsaadi, F. E., Alsaadi, F. E.: Fusion estimation for multi-rate linear repetitive processes under weighted Try-Once-Discard protocol..Inform. Fusion 55 (2020), 281-291. 10.1016/j.inffus.2019.08.013 |
| Reference:
|
[26] Sheng, L., Niu, Y., Zou, L., Liu, Y., Alsaadi, F. E.: Finite-horizon state estimation for time-varying complex networks with random coupling strengths under Round-Robin protocol..J. Franklin Inst. 355 (2018), 7417-7442. MR 3857394, 10.1016/j.jfranklin.2018.07.026 |
| Reference:
|
[27] Sheng, L., Wang, Z., Zou, L., Alsaadi, F. E.: Event-based $H_\infty$ state estimation for time-varying stochastic dynamical networks with state- and disturbance-dependent noises..IEEE Trans. Neural Networks Learn. Systems 28 (2017), 2382-2394. MR 3709755, 10.1109/tnnls.2016.2580601 |
| Reference:
|
[28] Vesely, V., Ernek, M.: Design of robust gain scheduled controller using $L_2$ gain performance..Kybernetika 54 (2018), 593-609. MR 3844834, 10.14736/kyb-2018-3-0593 |
| Reference:
|
[29] Wan, X., Wang, Z., Wu, M., Liu, X.: State estimation for discrete time-delayed genetic regulatory networks with stochastic noises under the Round-Robin protocols..IEEE Trans. NanoBioscience 17 (2018), 145-154. 10.1109/tnb.2018.2797124 |
| Reference:
|
[30] Wu, J., Weng, Z., Tian, Z., Shi, S.: Fault tolerant control for uncertain time-delay systems based on sliding mode control..Kybernetika 44 (2008), 617-632. MR 2479308 |
| Reference:
|
[31] Zhang, X.-M., Han, Q.-L.: A decentralized event-triggered dissipative control scheme for systems with multiple sensors to sample the system outputs..IEEE Trans. Cybernet. 46 (2015), 2745-2757. 10.1109/tcyb.2015.2487420 |
| Reference:
|
[32] Zhang, X.-M., Han, Q.-L., Ge, X., Ding, D., Ding, L., Yue, D., Peng, C.: Networked control systems: a survey of trends and techniques..IEEE/CAA J. Automat. Sinica (2019), 1-17. MR 3748030, 10.1109/jas.2019.1911651 |
| Reference:
|
[33] Zhu, J.-W., Yang, G.-H., Wang, H., Wang, F.: Fault estimation for a class of nonlinear systems based on intermediate estimator..IEEE Trans. Automat. Control 61 (2016), 2518-2524. MR 3545070, 10.1109/tac.2015.2491898 |
| Reference:
|
[34] Zou, L., Wang, Z., Gao, H.: Set-membership filtering for time-varying systems with mixed time-delays under Round-Robin and Weighted Try-Once-Discard protocols..Automatica 74 (2016), 341-348. MR 3569400, 10.1016/j.automatica.2016.07.025 |
| Reference:
|
[35] Zou, L., Wang, Z., Gao, H., Liu, X.: State estimation for discrete-time dynamical networks with time-varying delays and stochastic disturbances under the Round-Robin protocol..IEEE Trans. Neural Networks Learn. Systems 28 (2017), 1139-1151. MR 3914858, 10.1109/tnnls.2016.2524621 |
| Reference:
|
[36] Zou, L., Wang, Z., Han, Q.-L., Zhou, D. H.: Ultimate boundedness control for networked systems with Try-Once-Discard protocol and uniform quantization effects..IEEE Trans. Automat. Control 62 (2017), 6582-6588. MR 3743543, 10.1109/tac.2017.2713353 |
| Reference:
|
[37] Zou, L., Wang, Z., Zhou, D.: Finite-horizon $H_\infty$ fault estimation for time-varying systems with Random Access protocol..IFAC-PapersOnLine 51 (2018), 314-319. MR 3912120, 10.1016/j.ifacol.2018.09.595 |
| Reference:
|
[38] Zuo, Z., Han, Q.-L., Ning, B., Ge, X., Zhang, X.-M.: An overview of recent advances in fixed-time cooperative control of multi-agent systems..IEEE Trans. Industr. Inform. 14(2018), 2322-2334. MR 3932129, 10.1109/tii.2018.2817248 |
| . |
