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Distributed Motion State Estimation of Mobile Target with Switching Topologies

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Abstract

For the problem of motion state estimation of mobile target tracked by sensor nodes, the information-weighted Kalman consensus filter (IKCF) is introduced for sensor networks with switching communication topologies. In order to improve the dynamic performance of the IKCF, the low-pass consensus filtering algorithm is used to estimate the motion acceleration of the target. Moreover, an improved low-pass consensus filter is proposed to make the estimated motion accelerations converge to a smaller range. With low-pass consensus filtering for measured motion accelerations, the switched linear system of collective estimation errors of the IKCF is derived. Furthermore, it is proved that the switched linear system of collective estimation errors is globally uniformly asymptotically stable with a weighted \({l_2}\)-gain. Consequently, the conclusion is deduced that estimations of the target motion state can achieve consensus and converge to the target motion state within a bounded region as \(t \rightarrow \infty \) under switching topologies. Finally, the effectiveness of the proposed approaches is illustrated by several illustrative examples.

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References

  1. G. Battistelli, L. Chisci, D. Selvi, A distributed Kalman filter with event-triggered communication and guaranteed stability. Automatica 93, 75–82 (2018)

    Article  MathSciNet  Google Scholar 

  2. S. Das, J.M.F. Moura, Distributed Kalman filtering with dynamic observations consensus. IEEE Trans. Signal Process. 63(17), 4458–4473 (2015)

    Article  MathSciNet  Google Scholar 

  3. S. Das, J.M.F. Moura, Consensus+Innovations distributed Kalman filter with optimized gains. IEEE Trans. Signal Process. 65(2), 467–481 (2016)

    Article  MathSciNet  Google Scholar 

  4. G. Hang, W. Zidong, G. Yuhua, Distributed federated Tobit Kalman filter fusion over a packet-delaying network: a probabilistic perspective. IEEE Trans. Signal Process. 66(17), 4477–4489 (2018)

    Article  MathSciNet  Google Scholar 

  5. H.H. Ji, F.L. Lewis, Z.S. Hou et al., Distributed information-weighted Kalman consensus filter for sensor networks. Automatica 77, 8–30 (2017)

    Article  MathSciNet  Google Scholar 

  6. A.T. Kamal, J.A. Farrell, A.K. Roy, Information weighted consensus filters and their application in distributed camera networks. IEEE Trans. Autom. Control 58(12), 3112–3125 (2013)

    Article  MathSciNet  Google Scholar 

  7. S. Kar, J.M.F. Moura, Consensus+Innovations distributed inference over networks: cooperation and sensing in networked systems. IEEE Trans. Signal Process. 30(3), 99–109 (2013)

    Article  Google Scholar 

  8. B. Liu, X.M. Zhang, Q.L. Han, Event-triggered distributed \({H_\infty }\) filtering for networked systems with switching topologies, in Proceedings of International Conference on Industrial Informatics (2015), pp. 162–166

  9. Q.Y. Liu, Z.D. Wang, X. He et al., Event-based recursive distributed filtering over wireless sensor networks. IEEE Trans. Autom. Control 60(9), 2470–2475 (2015)

    Article  MathSciNet  Google Scholar 

  10. W. Li, J. Du, Y. Jia, Event-triggered Kalman consensus filter over sensor networks. IET Control Theory Appl. 10(1), 103–110 (2016)

    Article  MathSciNet  Google Scholar 

  11. X. Meng, T. Chen, Optimality and stability of event triggered consensus state estimation for wireless sensor networks, in American Control Conference, Oregon, USA (2014), pp. 3565–3570

  12. R. Olfati-saber, Distributed Kalman filter with embedded consensus filters, in Proceedings of International Conference on Decision and Control, Seville, Spain (2005), pp. 8179–8184

  13. R. Olfati-saber, Distributed Kalman filtering for sensor networks, in Proceedings of International Conference on Decision and Control, Seville, Spain (2007), pp. 5492–5498

  14. R. Olfati-saber, Distributed tracking for mobile sensor networks with information-driven mobility, in Proceedings of International Conference on American Control Conference, New York, USA (2007), pp. 4606–4612

  15. R. Olfati-saber, Kalman-consensus filter: optimality, stability, and performance, in Proceedings of International Conference on Decision and Control, Shanghai, China (2009), pp. 7036–7042

  16. R. Olfati-saber, P. Jalalkamali, Coupled distributed estimation and control for mobile sensor networks. IEEE Trans. Autom. Control 57(10), 2609–2614 (2012)

    Article  MathSciNet  Google Scholar 

  17. R. Olfati-saber, J.S. Shamma, Consensus filters for sensor networks and distributed sensor fusion, in Proceedings of International Conference on Decision and Control, Seville, Spain (2005), pp. 6698–6703

  18. H. Pan, X. Jing, W. Sun et al., Analysis and design of a bio-inspired vibration sensor system in noisy environment. IEEE-ASME Trans. Mechatron. 23(2), 845–855 (2018)

    Article  Google Scholar 

  19. W. Ren, R.W. Beard, Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Trans. Autom. Control 50(5), 655–661 (2005)

    Article  MathSciNet  Google Scholar 

  20. S.S. Stankovic, M.S. Stankovic, D.M. Stipanovic, Consensus based overlapping decentralized estimator, in Proceedings of International Conference on American Control Conference, New York, USA (2007), pp. 2744–2749

  21. S.S. Stankovic, M.S. Stankovic, D.M. Stipanovic, Consensus based overlapping decentralized estimator. IEEE Trans. Autom. Control 54(2), 410–415 (2009)

    Article  MathSciNet  Google Scholar 

  22. S.S. Stankovic, M.S. Stankovic, D.M. Stipanovic, Consensus based overlapping decentralized estimation with missing observations and communication faults. Automatica 45(6), 1397–1406 (2009)

    Article  MathSciNet  Google Scholar 

  23. W. Sun, H. Pan, H. Gao, Filter-based adaptive vibration control for active vehicle suspensions with electrohydraulic actuators. IEEE Trans. Veh. Technol. 65(6), 4519–4626 (2013)

    Google Scholar 

  24. Y.H. Sun, Y.W. Zhang, H. Ding et al., Nonlinear energy sink for a flywheel system vibration reduction. J. Sound Vib. 429, 305–324 (2018)

    Article  Google Scholar 

  25. Z.Y. Wang, D. Gu, Cooperative target tracking control of multiple robots. IEEE Trans. Ind. Electron. 59(8), 3232–3240 (2012)

    Article  Google Scholar 

  26. W.M. Xiang, X. Jian, Discussion on “Stability, \({l_2}\)-gain and asynchronous \({H_\infty }\) control of discrete-time switched systems with average dwell time”. IEEE Trans. Autom. Control 57(12), 3259–3261 (2012)

    Article  Google Scholar 

  27. Z. Xing, Y. Xia, L. Yan et al., Multisensor distributed weighted Kalman filter fusion with network delays, stochastic uncertainties, autocorrelated, and cross-correlated noises. IEEE Trans. Syst. Man Cybern. Syst. 48(5), 716–726 (2018)

    Article  Google Scholar 

  28. F. Yang, Q.L. Han, Y. Liu, Distributed \({H_\infty }\) state estimation over a filtering network with time-varying and switching topology and partial information exchange. IEEE Trans. Cybern. 49(3), 870–882 (2019)

    Article  Google Scholar 

  29. L. Yan, X. Zhang, Z. Zhang et al., Distributed state estimation in sensor networks with event-triggered communication. Nonlinear Dyn. 76(1), 169–181 (2014)

    Article  MathSciNet  Google Scholar 

  30. L. Zhang, X.B. Chi, L. Chang, et al., Distributed filtering over sensor networks with topology switching and event-triggered schemes, in Proceedings of International Conference on IEEE Industrial Electronics Society (2017), pp. 5535–5540

  31. L.X. Zhang, H. Gao, Asynchronously switched control of switched linear systems with average dwell time. Automatica 46(5), 953–958 (2010)

    Article  MathSciNet  Google Scholar 

  32. L.X. Zhang, P. Shi, Stability, \({l_2}\)-gain and asynchronous, control of discrete-time switched systems with average dwell time. IEEE Trans. Autom. Control 54(9), 2192–2199 (2009)

    Article  Google Scholar 

  33. Y. Zhu, L. Zhang, W.X. Zheng, Distributed \({H_\infty }\) filtering for a class of discrete-time Markov jump Lur’e systems with redundant channels. IEEE Trans. Ind. Electron. 63(3), 1876–1885 (2016)

    Article  Google Scholar 

  34. Y.W. Zhang, B. Fang, J. Zang, Dynamic features of passive whole-spacecraft vibration isolation platform based on non-probabilistic reliability. J. Vib. Control 1(21), 60–67 (2015)

    Article  Google Scholar 

  35. Y.W. Zhang, S. Hou, K.F. Xu et al., Forced vibration control of an axially moving beam with an attached nonlinear energy sink. Acta Mech. Solida Sin. 30(6), 674–682 (2017)

    Article  Google Scholar 

  36. Y.W. Zhang, C. Su, Z.Y. Ni et al., A multifunctional lattice sandwich structure with energy harvesting and nonlinear vibration control. Compos. Struct. 221, 110875 (2019). https://doi.org/10.1016/j.compstruct.2019.04.047

    Article  Google Scholar 

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Acknowledgements

This work is partially supported by the National Natural Science Foundation of China (61703286).

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Correspondence to Hongmei Zhang.

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Zhang, H., Zhang, H., Liu, H. et al. Distributed Motion State Estimation of Mobile Target with Switching Topologies. Circuits Syst Signal Process 39, 2648–2672 (2020). https://doi.org/10.1007/s00034-019-01282-z

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