Browse > Article
http://dx.doi.org/10.1109/JCN.2015.000107

Reference State Tracking in Distributed Leader-Following Wireless Sensor Networks with Limited Errors  

Mou, Jinping (Department of Mathematics and Information Engineering, Taizhou University)
Wang, Jie (Department of Mathematics and Information Engineering, Taizhou University)
Publication Information
Abstract
In this paper, the limited error tracking problem is investigated for distributed leader-following wireless sensor networks (LFWSNs), where all sensors share data by the local communications, follower sensors are influenced by leader sensors directly or indirectly, but not vice versa, all sensor nodes track a reference state that is determined by the states of all leader sensors, and tracking errors are limited. In a LFWSN, the communicating graph is mainly expressed by some complete subgraphs; if we fix subgraphs that are composed of all leaders while all nodes in complete subgraphs of followers run on the sleeping-awaking method, then the fixed leaders and varying followers topology is obtained, and the switching topology is expressed by a Markov chain. It is supposed that the measurements of all sensors are corrupted by additive noises. Accordingly, the limited error tracking protocol is proposed. Based on the theory of asymptotic boundedness in mean square, it is shown that LFWSN keeps the limited error tracking under the designed protocol.
Keywords
Asymptotically bounded; leader-following wireless sensor networks; limited error tracking; Markov chain; reference state;
Citations & Related Records
연도 인용수 순위
  • Reference
1 J. Yick, B. Mukherjee, and D. Ghosal, "Wireless sensor network survey," Comput. Netw., vol. 52, no. 12, pp. 2292-2330, Aug. 2008.   DOI
2 P. C. Zhan, D. W. Casbeer, and A. L. Swindlehurst, "A centralized control algorithm for target tracking with UAVs," in Proc. ASILOMAR, Oct. 2005, pp. 1148-1152.
3 W. S. Zhang, "DCTC: Dynamic convoy tree-based collaboration for target tracking in sensor networks," IEEE Trans. Wireless Commun., vol. 3, no. 5, pp. 1689-1701, Sept. 2004.   DOI
4 M. Fayyaz, "Classification of object tracking techniques in wireless sensor networks," Wireless Sensor Netw., vol. 3, no. 4, pp. 121-124, Apr. 2011.   DOI
5 F. Zhao, J. Shin, and J. Reich, "Information-driven dynamic sensor collaboration for tracking applications," IEEE Signal Process. Mag., vol. 19, no. 2, pp. 61-72, Mar. 2002.   DOI
6 L. Gracia, and J. Tornero, "Characterization of zero tracking error references in the kinematic control of wheeled mobile robots," Robotics and Autonomous Systems, vol. 57, no. 6-7, pp. 565-577, June 2009.   DOI
7 X. Wang, S. Wang, D. W. Bi, and J. J. Ma, " Distributed peer-topeer target tracking in wireless sensor networks," Sensors, vol. 7, no. 6, pp. 1001-1027, June 2007.   DOI
8 Y. C. Chen and C. Y. Wen, "Decentralized cooperative TOA/AOA target tracking for hierarchical wireless sensor networks," Sensors, vol. 12, no. 11, pp. 15308-15337, Nov. 2012.   DOI
9 Y. F. Fu, L. Qing, and T. Zhi, "Distributed sensor allocation for multi-target tracking in wireless sensor networks," IEEE Trans. Aerosp. Electron. Syst., vol. 48, no. 4, pp. 3538-3553, Oct. 2012.   DOI
10 A. M. Khedr and W. Osamy, "Effective target tracking mechanism in a self-organizing wireless sensor network," J. Parallel Distrib. Comput., vol. 71, no. 10, pp. 1318-1326, Oct. 2011.   DOI
11 X. Zhang, "Adaptive control and reconfiguration of mobile wireless sensor networks for dynamic multi-target tracking," IEEE Trans. Autom. Control, vol. 56, no. 10, pp. 2429-2444, Oct. 2011.   DOI
12 W. Zhou, J. Mou, T. Wang, C. Ji, and J. Fang, "Target-synchronization of the distributed wireless sensor networks under the same sleeping-awaking method," J. Franklin Institute, vol. 349, no. 6, pp. 2004-2018, Aug. 2012.   DOI
13 W. Ye, J. Heidemann, and D. Estrin, "An energy-efficient MAC protocol for wireless sensor networks," in Proc. IEEE INFOCOM, June 2002, pp. 1567-1576.
14 L. Pan, L. Zhou, and D. Li, "Synchronization in novel three-scroll unified chaotic system (TSUCS) and it's hyper-unified chaotic system using active pinning control," Nonlinear Dynamics, vol. 73, no. 3, pp. 2059-2071, Aug. 2013.   DOI
15 Y. Xu, Y. Wang, W. Zhou, and J. Fang, "Stochastic complex networks synchronize to the limit set with adaptive controller and adaptive time-varying delayed," Mathematical Methods in the Appl. Sci., vol. 37, no. 15, pp. 2290-2296, Oct. 2014.   DOI
16 L. Zhang and E. Boukas, "Mode-dependent filtering for discrete-time Markovian jump linear systems with partly unknown transition probabilities," Automatica, vol. 45, no. 6, pp. 1462-1467, June 2009.   DOI
17 D. Tong et al. "Exponential synchronization for stochastic neural networks with multi-delayed and Markovian switching via adaptive feedback control," Communications in Nonlinear Science and Numerical Simulation, vol. 29, no. 1-3, pp. 359-371, Dec. 2015.   DOI
18 W. Zhou, J.Mou, T.Wang, C. Ji, and J. Fang, "Quasi-average mean square consensus for wireless sensor networks under three topologies with respect to sleeping-awaking method," Optimal Control Appl. Methods, vol. 34, no. 4, July/Aug. 2013, pp. 379-395.   DOI
19 H. Lu, W. Zhou, C. Duan, and X. Qi, "Delay-dependent robust H1 control for uncertain singular time-delay system with Markovian jumping parameters," Optimal Control Appl. Methods, vol. 34, no. 3, pp. 296-307, May/June 2013.   DOI
20 X. Mao and C. Yuan, "Stochastic differential equations with Markovian switching," London, Imperial College Press, 2006.
21 R. Olfati-Saber, and R. M. Murray, "Consensus problems in networks of agents with switching topology and time-delays," IEEE Trans. Autom. Control, vol. 49, no. 9, pp. 1520-1533, Sept. 2004.   DOI
22 J. Mou, "Adaptive consensus of distributed varying scale wireless sensor networks under tolerable jamming attacks," Mathematical Problems in Engineering, vol. 2013, article ID 921934, Dec. 2013.
23 T. Li and J. F. Zhang, "Mean square average-consensus under measurement noises and fixed topologies: Necessary and sufficient conditions," Automatica, vol. 45, no. 6, pp. 1929-1936, Nov. 2009.   DOI
24 R. Horn and C. Johnson, "Matrix Analysis," New York, Cambridge University Press, 1995.
25 A. Berman and R. J. Plemmons, "Nonnegative Matrices in Mathematical Sciences," Phliadeelphia, SIAM, 1987.