Abstract
The paper is concerned with H ∞ filtering design for a class of stochastic distributed parameter systems with randomly occurring sensor faults over sensor networks with multiple communications. The channel switching is governed by a continuous-time Markovian process and the case of measurement failures is described by a stochastic variable which is satisfying the Bernoulli random distribution. Based on a Markovian switched Lyapunov-Krasovskii functional, delay-dependent conditions are achieved to guarantee the prescribed H ∞ performance. Finally, a practical simulation example is given to illustrate the validity of our results.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Liu, M., Ho, D.W.C., Niu, Y.: Robust filtering design for stochastic system with mode-dependent output quantization. IEEE Trans. Sig. Process. 58(12), 6410–6416 (2011)
Elsayed, A., Grimble, M.J.: A new approach to the H ∞ design of optimal digital linear filters. IMA J. Math. Control Inf. 6(2), 233–251 (1989)
Shen, B., Wang, Z., Shu, H., Wei, G.: Robust H ∞ finite-horizon filtering with randomly occurred nonlinearities and quantization effects. Automatica 46(46), 1743–1751 (2010)
Karimi, H.R.: Robust H ∞ filter design for uncertain linear systems over network with network-induced delays and output quantization. Model. Ident. Control 30(1), 27–37 (2009)
Wang, W.-W., Yang, J.-L., Yang, G.-H.: Quantised H ∞ filtering for networked systems with random sensor packet losses. IET Control Theory Appl. 4(8), 1339–1352 (2010)
Wang, P.P., Che, W.W.: Quantized H ∞ filter design for networked control systems with random nonlinearity and sensor saturation. Neurocomputing 193, 14–19 (2016)
Li, A., Yi, S., Wang, X.: New reliable H ∞ filter design for networked control systems with external disturbances and randomly occurring sensor faults. Neurocomputing 185, 21–27 (2015)
Liu, Y., Wang, Z., Wang, W.: Reliable H ∞ filtering for discrete time-delay systems with randomly occurred nonlinearities via delay-partitioning method. Sig. Process. 91(4), 713–727 (2011)
Alvarez, J.D., Normey-Rico, J.E., Berenguel, M.: Design of PID controller with filter for distributed parameter systems. IFAC Proc. Volumes 45(3), 495–500 (2012)
Demetriou, M.A.: Spatial PID consensus controllers for distributed filters of distributed parameter systems. Syst. Control Lett. 63(1), 57–62 (2014)
Demetriou, M.A.: Design of consensus and adaptive consensus filters for distributed parameter systems. Pergamon Press, Inc. (2010)
Park, P.G., Ko, J.W., Jeong, C.: Reciprocally convex approach to stability of systems with time-varying delays. Pergamon Press, Inc. (2011)
Wang, J.L., Yang, Z.C., Wu, H.N.: Passivity analysis of complex dynamical networks with multiple time-varying delays. J. Eng. Math. 74(1), 175–188 (2012)
Gu, K., Chen, J., Kharitonov, V.: Stability of Time-Delay Systems. Birkhauser, Boston (2003)
Acknowledgments
This work was supported in part supported by Research and Innovation Program of Academic Degree Postgraduate of Ordinary University in Jiangsu province in 2017 KYCX17_1455.
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
Ji, H., Cui, B. (2017). H ∞ Filtering Design for a Class of Distributed Parameter Systems with Randomly Occurring Sensor Faults and Markovian Channel Switching. In: Chen, G., Shen, H., Chen, M. (eds) Parallel Architecture, Algorithm and Programming. PAAP 2017. Communications in Computer and Information Science, vol 729. Springer, Singapore. https://doi.org/10.1007/978-981-10-6442-5_11
Download citation
DOI: https://doi.org/10.1007/978-981-10-6442-5_11
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-6441-8
Online ISBN: 978-981-10-6442-5
eBook Packages: Computer ScienceComputer Science (R0)