“Robust H-Infinity Filtering for Networked Control Systems with Markovian Jumps and Packet Dropouts”

Authors: Fangwen Li, Peng Shi, Xingcheng Wang and Hamid Reza Karimi,
Affiliation: Dalian Maritime University (China), Harbin Engineering University, University of Adelaide and University of Agder
Reference: 2014, Vol 35, No 3, pp. 159-168.

Keywords: H-Infinity filter, Networked control system, packet dropouts, Markov jump system

Abstract: This paper deals with the H-Infinity filtering problem for uncertain networked control systems. In the study, network-induced delays, limited communication capacity due to signal quantization and packet dropout are all taken into consideration. The finite distributed delays with probability of occurrence in a random way is introduced in the network.The packet dropout is described by a Bernoulli process. The system is modeled as Markovian jumps system with partially known transition probabilities. A full-order filter is designed to estimate the system state. By linear inequality approach, a sufficient condition is derived for the resulting filtering error system to be mean square stable with a prescribed H-Infinity performance level. Finally, a numerical example is given to illustrate the effectiveness and efficiency of the proposed design method.

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References:
[1] Fu, M. and Xie, L. (2005). The sector bound approach to quantized feedback control, IEEE Trans. Automat. Contr.. 50(11):1698--1711. doi:10.1109/TAC.2005.858689
[2] Garcia, E. and Antsaklis, P. (2013). Model-based event-triggered control for systems with quantization and time-varying network delays, IEEE Transactions on Automatic Control. 58(2):422--434. doi:10.1109/TAC.2012.2211411
[3] Karimi, H. (2009). Robust H-Infinity filter design for uncertain linear systems over network with network-induced delays and output quantization, Modeling Identification and Control. 30(1):27--37. doi:10.4173/mic.2009.1.3
[4] Kim, K. and Kumar, P. (2013). Real-time middleware for networked control systems and application to an unstable system, IEEE Transactions on Control Systems Technology. 21(5):1898--1906. doi:10.1109/TCST.2012.2207386
[5] Li, F., Wang, X., and Shi, P. (2013). Quantized H-Infinity control for networked control systems, ICIC Express Letters, 2013. 7(3(B)):1099--1105.
[6] Li, F., Wang, X., and Shi, P. (2013). Robust quantized H-Infinity control for network control systems with Markovian jumps and time delays, International Journal of Innovative Computing Information and Control, 2013. 9(12):4889--4902.
[7] Li, F., Wang, X., Shi, P., and Liu, G. (2012). Control for network control systems with partially known transition probabilities, ICIC Express Letters Part B: Applications. 3(6):1565--1574.
[8] Li, H., Jing, X., and Karimi, H.R. (2014). Output-feedback-based H-Infinity control for vehicle suspension systems with control delay, IEEE Trans. Ind. Electron.. 61(1):436--446. doi:0.1109/TIE.2013.2242418
[9] Li, H. and Shi, Y. (2014). Network-based predictive control for constrained nonlinear systems with two-channel packet dropouts, IEEE Trans. Ind. Electron.. 61(3):3318--3327. doi:10.1109/TIE.2013.2261039
[10] Liu, L., Tong, C., and Zhang, H. (2005). Analysis and design of networked control systems with long delays based on Markovian jump model, Proceedings of 2005 International Conference on Machine Learning and Cybernetics. pages 953--959. doi:10.1109/ICMLC.2005.1527081
[11] Niu, Y., Jia, T., Wang, X., and Yang, F. (2009). Output feedback control design for NCSs subject to quantisation and dropout, Information Science. 179(21):3804--3813. doi:10.1016/j.ins.2009.07.006
[12] Peng, C. and Tian, Y. (2007). Networked H-Infinity control of linear systems with state quantization, Information Sciences. 177(24):5763--5773. doi:10.1016/j.ins.2007.05.025
[13] Seiler, P. and Sengupta, R. (2005). An H-Infinity approach to networked control, IEEE Trans. Automat. Contr.. 50(3):356--364. doi:10.1109/TAC.2005.844177
[14] Shi, P., Boukas, E., and Agarwal, R. (1999). Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay, IEEE Trans. Automat. Contr.. 44(11):2139--2144. doi:10.1109/9.802932
[15] Shi, Y. and Yu, B. (2009). Output feedback stabilization of networked control systems with random delays modeled by Markov chains, IEEE Trans. Autom. Control. 54(7):1668--1674. doi:10.1109/TAC.2009.2020638
[16] Sun, S. (2012). Optimal linear estimators for discrete-time systems with one-step random delays and multiple packet dropouts, Acta Automatica Sinica. 38(3):349--356. doi:10.1016/S1874-1029(11)60295-4
[17] Sun, S., Xie, L., Xiao, W., and Soh, Y.C. (2008). Optimal linear estimation for systems with multiple packet dropouts, Automatica. 44(5):1333--1342. doi:10.1016/j.automatica.2007.09.023
[18] Tian, E., Yue, D., and Zhao, X. (2007). Quantized control design for networked control systems, IET Control Theory and applicatons. 1(6):1693--1699. doi:10.1049/iet-cta:20060499
[19] Wang, B., Shi, P., Karimi, H., and Dong, X. (2012). Stochastic stability analysis for Markovian jump neutral nonlinear systems, Modeling Identification and Control. 33(4):131--139. doi:10.4173/mic.2012.4.2
[20] Wang, Z., Yang, F., Ho, D., and Liu, X. (2007). Robust H-Infinity control for networked systems with random packet losses, IEEE Trans. Systems Man and Cybernetics, Part B: Cybernetics, 2007. 37(4):916--924. doi:10.1109/TSMCB.2007.896412
[21] Wu, J. and Chen, T. (2007). Design of networked control systems with packet dropouts, IEEE Trans. Automat. Control. 52(7):1314--1319. doi:10.1109/TAC.2007.900839
[22] Yang, F. and Han, Q. (2013). H-Infinity control for networked systems with multiple packet dropouts, Information Sciences. 252:106--117. doi:10.1016/j.ins.2013.06.043
[23] Yashiro, D. and Yakoh, T. (2014). Feedback controller with low-pass-filter-based delay regulation for networked control systems, IEEE Transactions on Industrial Electronics. 61(7):3744--3752. doi:10.1109/TIE.2013.2287214
[24] Zhang, L. and Boukas, E.K. (2009). Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities, Automatica. 45(2):463--468. doi:10.1016/j.automatica.2008.08.010
[25] Zhang, L., Boukas, E.K., and Lam, J. (2008). Analysis and synthesis of of Markovian jump linear systems with time-varying delays and partially known transition probabilities, IEEE Trans. Automat. Contr.. 53(10):2458--2464. doi:10.1109/TAC.2008.2007867
[26] Zhang, W. and Yu, L. (2008). Modelling and control of networked control systems with both network-induced delay and packet-dropout, Automatica. 44(12):3206--3210. doi:10.1016/j.automatica.2008.09.001
[27] Zhao, Y.-B., Kang, Y., Liu, G.-P., and Rees, D. (2011). Stochastic stabilization of packet-based networked control systems, International Journal of Innovative Computing Information and Control. 7(5(A)):2441--245.


BibTeX:
@article{MIC-2014-3-3,
  title={{Robust H-Infinity Filtering for Networked Control Systems with Markovian Jumps and Packet Dropouts}},
  author={Li, Fangwen and Shi, Peng and Wang, Xingcheng and Karimi, Hamid Reza},
  journal={Modeling, Identification and Control},
  volume={35},
  number={3},
  pages={159--168},
  year={2014},
  doi={10.4173/mic.2014.3.3},
  publisher={Norwegian Society of Automatic Control}
};