Abstract
In this work, we study finite-horizon multiple-sensor scheduling for general scalar Gauss-Markov systems, extending previous results where only a class of systems are considered. The scheduling objective is to minimize the terminal estimation error covariance. Only one sensor can transmit its measurement per time instant and each sensor has limited energy. Through building a comparison function and solving its monotone intervals, an efficient algorithm is designed to construct the optimal schedule.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Gungor, V.C., Hancke, G.P.: Industrial wireless sensor networks: challenges, design principles, and technical approaches. IEEE Trans. Ind. Electron. 56(10), 4258–4265 (2009)
Alemdara, H., Ersoy, C.: Wireless sensor networks for healthcare: a survey. Comput. Netw. 54(15), 2688–2710 (2010)
Xu, G., Shen, W., Wang, X.: Applications of wireless sensor networks in marine environment monitoring: a survey. Sensors 14(9), 16932–16954 (2014)
Huber, M.F.: Optimal pruning for multi-step sensor scheduling. IEEE Trans. Autom. Control 57(5), 1338–1343 (2012)
Vitus, M.P., Zhang, W., Abate, A., Hu, J., Tomlin, C.J.: On efficient sensor scheduling for linear dynamical systems. Automatica 48(10), 2482–2493 (2012)
Joshi, S., Boyd, S.: Sensor selection via convex optimization. IEEE Trans. Signal Process. 57(2), 451–462 (2009)
Mo, Y., Ambrosino, R., Sinopoli, B.: Sensor selection strategies for state estimation in energy constrained wireless sensor networks. Automatica 47(7), 1330–1338 (2011)
Wu, J., Jia, Q.S., Johansson, K.H., Shi, L.: Event-based sensor data scheduling: trade-off between communication rate and estimation quality. IEEE Trans. Autom. Control 58(4), 1041–1046 (2013)
You, K., Xie, L.: Kalman filtering with scheduled measurements. IEEE Trans. Signal Process. 61(6), 1520–1530 (2013)
Shi, D., Chen, T., Shi, L.: Event-triggered maximum likelihood state estimation. Automatica 50(1), 247–254 (2014)
Han, D., Mo, Y., Wu, J., Weerakkody, S., Sinopoli, B., Shi, L.: Stochastic event-triggered sensor schedule for remote state estimation. IEEE Trans. Autom. Control 60(10), 2661–2675 (2015)
Savage, C.O., La Scala, B.F.: Optimal scheduling of scalar gauss-markov systems with a terminal cost function. IEEE Trans. Autom. Control 54(5), 1100–1105 (2009)
Yang, C., Shi, L.: Deterministic sensor data scheduling under limited communication resource. IEEE Trans. Signal Process. 59(10), 5050–5056 (2011)
Jia, Q.S., Shi, L.: On optimal partial broadcasting of wireless sensor networks for kalman filtering. IEEE Trans. Autom. Control 57(3), 715–721 (2012)
Shi, L., Xie, L.: Optimal sensor power scheduling for state estimation of Gauss-Markov systems over a packet-dropping network. IEEE Trans. Signal Process. 60(5), 2701–2705 (2012)
Anderson, B., Moore, J.: Optimal Filtering. Prentice-Hall, Englewood Cliffs (1979)
Acknowledgments
This work was supported by the National Natural Science Foundation of China under grant numbers 61333011, 61271144, 61371064 and 61603133.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Xu, J., Wen, C., Xu, D., Chen, H. (2017). Optimal Multiple-Sensor Scheduling for General Scalar Gauss-Markov Systems with the Terminal Error. In: Sun, F., Liu, H., Hu, D. (eds) Cognitive Systems and Signal Processing. ICCSIP 2016. Communications in Computer and Information Science, vol 710. Springer, Singapore. https://doi.org/10.1007/978-981-10-5230-9_44
Download citation
DOI: https://doi.org/10.1007/978-981-10-5230-9_44
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-5229-3
Online ISBN: 978-981-10-5230-9
eBook Packages: Computer ScienceComputer Science (R0)