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Estimation of spatially distributed processes using mobile sensor networks with missing measurements |
Jiang Zheng-Xian (江正仙)a b c, Cui Bao-Tong (崔宝同)a b |
a Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, China; b School of IoT Engineering, Jiangnan University, Wuxi 214122, China; c School of Science, Jiangnan University, Wuxi 214122, China |
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Abstract This paper investigates the estimation problem for a spatially distributed process described by a partial differential equation with missing measurements. The randomly missing measurements are introduced in order to better reflect the reality in the sensor network. To improve the estimation performance for the spatially distributed process, a network of sensors which are allowed to move within the spatial domain is used. We aim to design an estimator which is used to approximate the distributed process and the mobile trajectories for sensors such that, for all possible missing measurements, the estimation error system is globally asymptotically stable in the mean square sense. By constructing Lyapunov functionals and using inequality analysis, the guidance scheme of every sensor and the convergence of the estimation error system are obtained. Finally, a numerical example is given to verify the effectiveness of the proposed estimator utilizing the proposed guidance scheme for sensors.
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Received: 27 March 2014
Revised: 01 September 2014
Accepted manuscript online:
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PACS:
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07.07.Df
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(Sensors (chemical, optical, electrical, movement, gas, etc.); remote sensing)
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02.30.Jr
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(Partial differential equations)
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84.40.Ua
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(Telecommunications: signal transmission and processing; communication satellites)
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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61174021, 61473136, and 61104155) and the 111 Project (Grant No. B12018). |
Corresponding Authors:
Jiang Zheng-Xian
E-mail: zhengxian@jiangnan.edu.cn
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Cite this article:
Jiang Zheng-Xian (江正仙), Cui Bao-Tong (崔宝同) Estimation of spatially distributed processes using mobile sensor networks with missing measurements 2015 Chin. Phys. B 24 020702
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[1] |
Akyildiz I F, Su W L, Sankarasubramniam Y and Cayirci E 2002 IEEE Commun. Mag. 40 102
|
[2] |
Cassandras C G and Li W 2005 Eur. J. Control 11 436
|
[3] |
Olfati-Saber R 2007 Proceedings of the 46th IEEE Conference on Decision and Control, December 12-14, 2007, New Orleans, LA, USA, p. 5492
|
[4] |
Yu W W, Chen G R, Wang Z D and Yang W 2009 IEEE Trans. Syst., Man, Cybern, Part B 39 1568
|
[5] |
Cattivelli F S and Sayed A H 2010 IEEE Trans. Autom. Control 55 2069
|
[6] |
Lakshmanan S, Park J H, Jung H Y and Balasubramaniam P 2012 Chin. Phys. B 21 100205
|
[7] |
Zhang C, Fei S M and Zhou X P 2012 Chin. Phys. B 21 120101
|
[8] |
Olfati-Saber R and Jalalkamali P 2012 IEEE Trans. Autom. Control 57 2609
|
[9] |
Wang Z D, Ho D W C, Liu Y R and Liu X H 2009 Automatica 45 684
|
[10] |
Wang Z D, Shen B and Liu X H 2012 Automatica 48 556
|
[11] |
Demetriou M A 2010 IEEE Trans. Autom. Control 55 1570
|
[12] |
Demetriou M A 2010 Automatica 46 300
|
[13] |
Demetriou M A and Hussein I I 2009 SIAM J. Control Optim. 48 266
|
[14] |
Tricaud C, Patan M, Uciński D and Chen Y Q 2008 Proceedings of the American Control Conference, June 11-13, 2008, Seattle, WA, USA, p. 663
|
[15] |
Ray P and Varshney P K 2009 IEEE Trans. Wireless Commun. 8 3162
|
[16] |
Uciński D and Chen Y Q 2008 Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, December 12-15, 2005, Sevill, Spain p. 5257
|
[17] |
Wu X D, Wang Y N, Liu W T and Zhu Z Y 2011 Chin. Phys. B 20 069201
|
[18] |
Nahi N 1969 IEEE Trans. Inf. Theory 15 457
|
[19] |
Sinopoli B, Schenato L, Franceschetti M, Poolla K, Jordan M I and Sastry S S 2004 IEEE Trans. Autom. Control 49 1453
|
[20] |
Liang J L, Wang Z D and Liu X H 2011 IEEE Trans. Neural Networks 22 486
|
[21] |
Curtain R F and Zwart H J 1995 An Introduction to Infinite Dimensional Linear Systems Theory (Berlin: Springer) p. 227
|
[22] |
Liu K 2006 Stability of Infinite Dimensional Stochastic Differential Equations with Applications (Boca Raton: Chapman and Hall/CRC) p. 268
|
[23] |
Khasminskii R 2011 Stochastic Stability of Differential Equations (Berlin: Springer) pp. 171-174
|
[24] |
Slotine J J E and Li W P 1991 Applied Nonlinear Control (New Jersey: Prentice Hall) pp. 123-124
|
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