Cooperative shift estimation of target trajectory using clustered sensors. (English) Zbl 1303.93166
Summary: In this paper, a mathematical model for target tracking using nonlinear scalar range sensors is formulated first. A time-shift sensor scheduling strategy is addressed on the basis of a \(k\)-barrier coverage protocol and all the sensors are divided into two classes of clusters, active cluster, and submissive cluster, for energy-saving. Then, two types of time-shift nonlinear filters are proposed for both active and submissive clusters to estimate the trajectory of the moving target with disturbed dynamics. The stochastic stability of the two filters is analyzed. Finally, some numerical simulations are given to demonstrate the effectiveness of the new filters with a comparison of Extended Kalman Filter (EKF).
MSC:
| 93E10 | Estimation and detection in stochastic control theory |
| 93E11 | Filtering in stochastic control theory |
| 93A14 | Decentralized systems |
References:
| [1] | Akyildiz I F, Su W L, Sankarasubramaniam Y, and Cayirci E, A survey on sensor networks, IEEE Communications Magazine, 2002, 40(8): 102-114. · doi:10.1109/MCOM.2002.1024422 |
| [2] | Brooks R, Ramanathan P, and Sayeed A M, Distributed target classification and tracking in sensor networks, Proc. of IEEE, 2003, 91(8): 1163-1171. · doi:10.1109/JPROC.2003.814923 |
| [3] | Kumar S, Zhao F, and Shepherd D, Collaborative signal and information processing in microsensor networks, IEEE Signal Processing Magazine, 2002, 19(2): 13-14. · Zbl 1267.30079 · doi:10.1109/MSP.2002.985672 |
| [4] | Zhao F, Shin J, and Reich J, Information-driven dynamic sensor collaboration for tracking applications, IEEE Signal Processing Magzine, 2002, 19(2): 61-72. · doi:10.1109/79.985685 |
| [5] | Brooks R, Griffn C, and Friedlander D, Self-organized distributed sensor network entity tracking, Int. J. of High Performance Comput. Application, 2002, 16(3): 207-219. · doi:10.1177/10943420020160030201 |
| [6] | Jazwinski A H, Stochastic Process and Filtering Theory, Dover Publications, 2007. · Zbl 1203.60001 |
| [7] | Julier, S.; Uhlmann, J.; Durrant-Whyte, H., A new approach for filtering nonlinear system, 1628-1632 (1995) |
| [8] | Doucet A, Freitas N D, and Gordon N J, Sequential Monte Carlo Methods in Practice, Springer, 2001. · Zbl 0967.00022 · doi:10.1007/978-1-4757-3437-9 |
| [9] | Reif K, Gunther S, Yaz E, and Unbehauen R, Stochastic stability of the continuous-time extended Kalman filter, IEE Proc. Contr. Theory and Appl., 2000, 147(1): 45-52. · doi:10.1049/ip-cta:20000125 |
| [10] | Hu J and Hu X, Optimal target trajectory estimation and filtering using networked sensors, Journal of Systems Science and Complexity, 2008, 21(3): 325-336. · Zbl 1173.93377 · doi:10.1007/s11424-008-9116-8 |
| [11] | Hu J and Hu X, Nonlinear filtering in target tracking using cooperative mobile sensors, Automatica, 2010, 46(12): 2041-2046. · Zbl 1205.94036 · doi:10.1016/j.automatica.2010.08.016 |
| [12] | He, Y.; Chong, E., Sensor scheduling for target tracking in sensor networks, 743-748 (2004) |
| [13] | Atia G K, Veeravalli V, and Fuemmeler J A, Sensor scheduling for energy-efficient target tracking in sensor networks, IEEE Trans. on Signal Processing, 2011, 59(10): 4923-4937. · Zbl 1391.90336 · doi:10.1109/TSP.2011.2160055 |
| [14] | Kumar, S.; Lai, T. H.; Posner, M. E.; Sinha, P., Optimal sleep-wakeup algorithms for barriers of wireless wensors, 327-336 (2007) |
| [15] | Ammari H M and Das S K, Centralized and custered k-coverage protocols for wireless sensor networks, IEEE Trans. on Computers, 2012, 61(1): 118-133. · Zbl 1365.68063 · doi:10.1109/TC.2011.82 |
| [16] | Kumar, S.; Lai, T. H.; Arora, A., Barrier coverage with wireless sensors, 284-298 (2005) |
| [17] | Zhang, H.; Hou, J. C., Is deterministic deployment worse than random deployment for wireless sensor networks?, 1-13 (2006) |
| [18] | Xing G, Wang X, Zhang Y, Lu C, Pless R, and Gill C, Integrated coverage and connectivity configuration for energy conservation in sensor networks, ACM Trans. Sensor Networks, 2005, 1(1): 36-72. · doi:10.1145/1077391.1077394 |
| [19] | Zakai M, On the ultimate boundedness of moments associated with solutions of stochastic differential equations, SIAM J. Control, 1967, 5(4): 588-593. · Zbl 0267.60066 · doi:10.1137/0305037 |
| [20] | Cheng, D.; Ghosh, B.; Hu, X., Distributed sensor network for target tracking, 2171-2183 (2006) · Zbl 1104.62108 |
| [21] | Olfati-Saber R and Murray R, Consensus problems in networks of agents with switching topology and time-delays, IEEE Trans. Automatic Control, 2004, 49(9): 1520-1533. · Zbl 1365.93301 · doi:10.1109/TAC.2004.834113 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
