**Page description appears here**

“Robust H-Infinity Filter Design for Uncertain Linear Systems Over Network with Network-Induced Delays and Output Quantization”

Authors: Hamid Reza Karimi,
Affiliation: University of Agder
Reference: 2009, Vol 30, No 1, pp. 27-37.

     Valid XHTML 1.0 Strict

Keywords: Filter design, network, output quantization, delay

Abstract: This paper investigates a convex optimization approach to the problem of robust H-Infinity filtering for uncertain linear systems connected over a common digital communication network. We consider the case where quantizers are static and the parameter uncertainties are norm bounded. Firstly, we propose a new model to investigate the effect of both the output quantization levels and the network conditions. Secondly, by introducing a descriptor technique, using Lyapunov-Krasovskii functional and a suitable change of variables, new required sufficient conditions are established in terms of delay-dependent linear matrix inequalities (LMIs) for the existence of the desired network-based quantized filters with simultaneous consideration of network induced delays and measurement quantization. The explicit expression of the filters is derived to satisfy both asymptotic stability and a prescribed level of disturbance attenuation for all admissible norm bounded uncertainties.

PDF PDF (246 Kb)        DOI: 10.4173/mic.2009.1.3

DOI forward links to this article:
  [1] (2013), doi:10.1002/9781118650981.refs
  [2] Wei-Wei Che and Guang-Hong Yang (2013), doi:10.1080/00207721.2011.600473
  [3] Jia You, Huijun Gao and Michael V. Basin (2013), doi:10.1016/j.sigpro.2013.01.021
  [4] Di Wu, Xi-Ming Sun, Yun-Bo Zhao and Wei Wang (2013), doi:10.1007/s00034-012-9528-5
  [5] Angel Cuenca, Pedro García, Pedro Albertos and Julián Salt (2011), doi:10.1007/s12555-011-0621-5
  [6] Jinliang Liu and Dong Yue (2013), doi:10.1016/j.ins.2013.03.042
  [7] Dong Wang, Jianliang Wang and Wei Wang (2013), doi:10.1016/j.ins.2012.09.045
  [8] Renquan Lu, Hui Li and Yaping Zhu (2012), doi:10.1007/s00034-011-9333-6
  [9] Derui Ding, Zidong Wang, Hongli Dong and Huisheng Shu (2012), doi:10.1016/j.automatica.2012.05.070
  [10] Saeed Havedanloo and Hamid Reza Karimi (2013), doi:10.1155/2013/783543
  [11] Hongli Dong, Zidong Wang, Xuemin Chen and Huijun Gao (2012), doi:10.1155/2012/416358
  [12] Qiugang Lu, Lixian Zhang, Michael Basin and Hui Tian (2012), doi:10.1016/j.jfranklin.2012.05.012
  [13] Yang Liu, Xiao He, Zidong Wang and Donghua Zhou (2014), doi:10.1016/j.automatica.2014.03.002
  [14] Dongyan Chen and Long Xu (2014), doi:10.1155/2014/716716
  [15] Sunjie Zhang, Zidong Wang, Derui Ding and Huisheng Shu (2014), doi:10.1016/j.jfranklin.2014.04.011
  [16] Pengfei Guo, Jie Zhang, Hamid Reza Karimi, Yurong Liu, Ming Lyu and Yuming Bo (2014), doi:10.1155/2014/303840
  [17] Pengfei Guo, Jie Zhang, Hamid Reza Karimi, Yurong Liu, Yunji Wang and Yuming Bo (2014), doi:10.1155/2014/879085
  [18] Junyi Li and Qijuan Chen (2014), doi:10.1155/2014/412578
  [19] Derui Ding, Zidong Wang, Bo Shen and Hongli Dong (2014), doi:10.1002/rnc.3201
  [20] Lutao Liu, Zhilin Liu and Jun Zhang (2014), doi:10.1155/2014/673256
  [21] Deyin Yao, Hamid Reza Karimi, Yiyong Sun and Qing Lu (2014), doi:10.1155/2014/478567
  [22] Xiaowei Wang, Xiangxiang Wei, Jie Gao, Yaxiao Hou and Yanfang Wei (2014), doi:10.1155/2014/726205
  [23] Chang-Jian Ru and Rui-Xuan Wei (2014), doi:10.1155/2014/983624
  [24] Fangwen Li, Peng Shi, Xingcheng Wang and Hamid Reza Karimi (2014), doi:10.4173/mic.2014.3.3
  [25] Fangwen Li, Peng Shi, Xingcheng Wang and Ramesh Agarwal (2014), doi:10.1016/j.sigpro.2014.12.014
  [26] O.M. Kwon, M.J. Park, S.M. Lee and E.J. Cha (2014), doi:10.1139/cjp-2014-0264
  [27] Yang Liu, Zidong Wang, Xiao He and D.H. Zhou (2015), doi:10.1016/j.automatica.2015.02.022
  [28] Huisheng Shu, Hua Yang, Zidong Wang, Fuad E. Alsaadi and Tasawar Hayat (2015), doi:10.1016/j.jfranklin.2015.07.017
  [29] Yang Shi, Jie Ding, Jinxing Lin and Zhifeng Gao (2015), doi:10.1049/iet-cta.2014.0971
  [30] Zhiguang Feng, Chengwei Wu and Hongyi Li (2015), doi:10.1049/iet-cta.2014.0410
  [31] Huijun Gao and Xianwei Li (2011), doi:10.1109/TAC.2011.2159909
  [32] Xiaoguang Dong, Jianbin Qiu, You Ma and Huijun Gao (2012), doi:10.1109/TCSII.2012.2218491
  [33] Zidong Wang, Hongli Dong, Bo Shen and Huijun Gao (2013), doi:10.1109/TAC.2013.2241492
  [34] Baochun Zhuang, Guangtao Shi and Zhou Gu (2014), doi:10.1109/CCDC.2014.6852493
  [35] Derui Ding, Zidong Wang, Bo Shen and Sunjie Zhang (2014), doi:10.1109/ChiCC.2014.6895829
  [36] Derui Ding, Zidong Wang and Hongli Dong (2014), doi:10.1109/ChiCC.2014.6895866
  [37] Hamid Reza Karimi, Ningsu Luo and Mauricio Zapateiro (2010), doi:10.1109/SYSTOL.2010.5675988
  [38] Yang Tang, Cheng Peng, Shen Yin, Jianbin Qiu, Huijun Gao and Okyay Kaynak (2014), doi:10.1109/TASE.2013.2283304
  [39] Xiaowei Wang, Yanfang Wei, Zhihui Zeng, Yaxiao Hou, Jie Gao and Xiangxiang Wei (2015), doi:10.1155/2015/678120
  [40] Pei-Pei Wang and Wei-Wei Che (2016), doi:10.1016/j.neucom.2016.01.058
  [41] Dong Wang, Zidong Wang, Guoyang Li and Wei Wang (2016), doi:10.1109/JSEN.2016.2555761
  [42] Yang Liu, Zidong Wang, Xiao He and D. H. Zhou (2016), doi:10.1080/00207179.2016.1199916
  [43] Liang Hu, Zidong Wang and Xiaohui Liu (2016), doi:10.1109/TNNLS.2014.2381853
  [44] Yujing Shi, Yueru Li and Shanqiang Li (2016), doi:10.1109/CCDC.2016.7531245
  [45] Yang Liu, Zidong Wang, Xiao He and D. H. Zhou (2016), doi:10.1109/TCNS.2015.2459351
  [46] Zhen Liu, Cunchen Gao, Huimin Xiao and Yonggui Kao (2016), doi:10.1002/asjc.1391
  [47] Baolong Zhu, Jie Ma and Shunli Li (2016), doi:10.1007/s00034-016-0460-y
  [48] Yang Liu, Zidong Wang, Xiao He and D.H. Zhou (2017), doi:10.1016/j.sysconle.2017.02.011
  [49] Yang Liu, Zidong Wang and D. H. Zhou (2017), doi:10.1080/00207179.2017.1337933
  [50] Li Sheng, Zidong Wang, Weibo Wang and Fuad E. Alsaadi (2016), doi:10.1109/TSMC.2016.2563393
  [51] H R Karimi (2010), doi:10.1243/09596518JSCE1027
  [52] Choon Ki Ahn, Yuriy S. Shmaliy, Shunyi Zhao and Hongyi Li (2017), doi:10.1109/TCSII.2016.2613959
  [53] Qi Li, Bo Shen, Zidong Wang and Fuad E. Alsaadi (2017), doi:10.1016/j.jfranklin.2017.08.036
  [54] Huihui Ji and Baotong Cui (2017), doi:10.1007/978-981-10-6442-5_11
  [55] Lifeng Ma, Zidong Wang, Hak-Keung Lam and Nikos Kyriakoulis (2017), doi:10.1109/TCYB.2016.2582081
  [56] Mengli Xiao, Yongbo Zhang, Zhihua Wang and Huimin Fu (2018), doi:10.1080/00207721.2017.1397807
  [57] Derui Ding, Zidong Wang, Qing-Long Han and Guoliang Wei (2016), doi:10.1109/TSMC.2016.2616544
  [58] Xian Zhang, Xiaofei Fan and Ligang Wu (2018), doi:10.1109/TCYB.2017.2726015
  [59] Xiaofei Fan, Xin Li, Xian Zhang and Shasha Xiao (2018), doi:10.1109/CCDC.2018.8407784
  [60] Mingcheng Dai, Kun Liang, Jing Wang, Zhen Wang and Hao Shen (2018), doi:10.1109/YAC.2018.8406415
  [61] Ruixia Liu, Xibin Cao, Ming Liu and Yanzheng Zhu (2018), doi:10.1016/j.ins.2018.09.041
  [62] Bo Shen, Zidong Wang, Dong Wang, Jun Luo, Huayan Pu and Yan Peng (2019), doi:10.1016/j.automatica.2018.11.010
  [63] Huijun Gao and Xianwei Li (2014), doi:10.1007/978-3-319-05903-7_7
  [64] Peijuan Li, Guoliang Sheng, Xiaofei Zhang, Jingqiu Wu, Baochun Xu, Xing Liu and Yao Zhang (2018), doi:10.1016/j.isatra.2017.12.018
  [65] Hongru Ren, Renquan Lu, Junlin Xiong and Yong Xu (2020), doi:10.1109/TSMC.2018.2792009

[1] Branicky, M., Phillips, S., Zhang, W. (2000). Stability of networked control systems: explicit analysis of delay, In Proc. American Control Conference. Chicago, Illinois, USA, pp. 2352-2357.
[2] Gao, H. Chen, T. (2007). H-Infinity estimation for uncertain systems with limited communication capacity, IEEE Trans. on Automatic Control, 5.11:2070-2084 doi:10.1109/TAC.2007.908316
[3] Gao, H. Chen, T. (2008). Network based H-Infinity output tracking control, IEEE Trans. on Automatic Control, 5.3:655-667 doi:10.1109/TAC.2008.919850
[4] Gao, H., Chen, T., Lam, J. (2008). A new delay system approach to network-based control, Automatica. 4.1:39-52 doi:10.1016/j.automatica.2007.04.020
[5] Gao, H., Shi, P., Wang, J. (2007). Parameter-dependent robust stability of uncertain time-delay systems, J. Computational and Applied Mathematics, 20.1:366-373 doi:10.1016/j.cam.2006.07.027
[6] Gao, H. Wang, C. (2003). Comments and further results on ´a descriptor system approach to H-Infinity control of linear time-delay systems, ´. IEEE Trans. on Automatic Control, 4.3:520-525 doi:10.1109/TAC.2003.809154
[7] Han, Q. Yu, L. (2004). Robust stability of linear neutral systems with nonlinear parameter perturbations, IEE Proc. Control Theory Appl., 15.5:539-546 doi:10.1049/ip-cta:20040785
[8] Hu, S. Zhu, Q. (2003). Stochastic optimal control and analysis of stability of networked control systems with long delay, Automatic. 39(11):1877-1884 doi:10.1016/S0005-1098(03)00196-1
[9] Ishii, H. Francis, B. (2002). Limited data rate in control systems with networks, Springer-Verlag, Berlin.
[10] Karimi, H. Gao, H. (2008). Lmi-based delay-dependent mixed H2/H-Infinity control of second-order neutral systems with time-varying state and input delays, ISA Transactions. 4.3:311-324 doi:10.1016/j.isatra.2008.04.002
[11] Karimi, H. Gao, H. (2009). LMI-based H-Infinity synchronization of second-order neutral master-slave systems using delayed output feedback control, Int. J. Control, Automation, and Systems, .3:371-380 doi:10.1007/s12555-009-0306-5
[12] Karimi, H. Gao, H. (2009). New delay-dependent exponential H-Infinity synchronization for uncertain neural networks with mixed time delays, IEEE Trans. Systems, Man, Cybernetics-Part B,.99:1877-1884 doi:10.1109/TSMCB.2009.2024408
[13] Karimi, H. Maass, P. (2009). Delay-range-dependent exponential H-Infinity synchronization of a class of delayed neural networks, Chaos, Solitons and& Fractals, 4.3:1125-1135 doi:10.1016/j.chaos.2008.04.051
[14] Karimi, H., Zapateiro, M., Luo, N. (2008). Robust mixed H2/H-Infinity delayed state-feedback control of neutral delay systems with time-varying delays, Asian J. of Control. 1.5:571-582 doi:10.1002/asjc.57
[15] Khargonekar, P., Petersen, I., Zhou, K. (1990). Robust stabilization of uncertain linear systems: Quadratic stabilizability and H-Infinity control theory, IEEE Trans. on Automatic Control, 3.3:356-361 doi:10.1109/9.50357
[16] Kim, D., Lee, Y., Kwon, W., Park, H. (2003). Maximum allowable delay bounds of networked control systems, Contr. Engin. Pract. 11(11):1301-1313 doi:10.1016/S0967-0661(02)00238-1
[17] Lam, J., Gao, H., Wang, C. (2005). H1 model reduction of linear systems with distributed delay, IEE Proc. Control Theory Appl. 15.6:662-674 doi:10.1049/ip-cta:20045216
[18] Liberzon, D. (2003). Hybrid feedback stabilization of systems with quantized signals, Automatica. 39(9):1543-1554 doi:10.1016/S0005-1098(03)00151-1
[19] Matveev, A. Savkin, (2001). A, Optimal control of networked systems via asynchronous communication channels with irregular delays. In Proc. 40th Conf. Decision Contr. Orlando, Florida, USA, pp. 2327-2332.
[20] Montestruque, L. Antsaklis, P. (2003). On the model-based control of networked systems, Automatica, 39(10):1837-1843 doi:10.1016/S0005-1098(03)00186-9
[21] Montestruque, L. Antsaklis, P. (2004). Stability of model-based networked control systems with time-varying transmission times, IEEE Trans. Autom. Contr., 4.9:1562-1572 doi:10.1109/TAC.2004.834107
[22] Mou, S., Gao, H., Qiang, W., Chen, K. (2008). New delay-dependent exponential stability for neural networks with time delay, IEEE Trans. Syst. Man Cybernetics, Part B, 3.2:571-576 doi:10.1109/TSMCB.2007.913124
[23] Mu, S., Chu, T., Wang, L. (2004). Impulsive control of networked systems, Dynam. Contin., Discr. Impuls. Syst. Proc.: Impuls. Dynam. Syst. Appl., 2:67-75.
[24] Nilsson, J., Berhardsson, B., Wittenmark, B. (1998). Stochastic analysis and control of real-time systems with random time delays, Automatica, 34(1):57-64 doi:10.1016/S0005-1098(97)00170-2
[25] Park, P. (1999). A delay-dependent stability criterion for systems with uncertain time-invariant delays, IEEE Trans. Autom. Contr., 4.4:876-877 doi:10.1109/9.754838
[26] Tian, E., Yue, D., Peng, C. (2008). Quantized output feedback control for networked control systems, Information Science, 17.12:2734-2749 doi:10.1016/j.ins.2008.01.019
[27] Tipsuwan, Y. Chow, M. (2003). Control methodologies in networked control systems, Contr. Engin. Pract., 11(10):1099-1111 doi:10.1016/S0967-0661(03)00036-4
[28] Wong, W. Brockett, R. (1999). Systems with finite communication bandwidth constraints -II: stabilization with limited information feedback, IEEE Trans. Autom. Contr., 4.5:1049-1053 doi:10.1109/9.763226
[29] Yu, M., L., L. W., Chu, T., Hao, F. (2003). An LMI approach to networked control systems with data packet dropout and transmission delays, Int. J. Hybr. Syst., 3:291-303.
[30] Yue, D. Han, Q. (2006). Network-based robust H-Infinity filtering for uncertain linear systems, IEEE Trans. Signal Process., 5.11:4293-4301 doi:10.1109/TSP.2006.880038
[31] Yue, D., Han, Q., Lam, J. (2005). Network based robust H-Infinity control of systems with uncertainty, Automatica, 4.6:999-1007 doi:10.1016/j.automatica.2004.12.011
[32] Yue, D., Han, Q., Peng, C. (2004). State feedback controller design of networked control systems, IEEE Trans Circuits and Systems - II, 5.11:640-644 doi:10.1109/TCSII.2004.836043
[33] Yue, D., Peng, C., Tang, G. (2006). Guaranteed cost control of linear systems over networks with state and input quantisations, IEE Proc. Control Theory Appl., 15.6:658-664 doi:10.1049/ipcta:20050294
[34] Z.Wang, D. H., F. Yang Liu, X. (2007). Robust H-Infinity control for networked systems with random packet losses, IEEE Trans. Syst. Man Cybernetics, Part B, 3.4:916-924 doi:10.1109/TSMCB.2007.896412
[35] Zhang, W., Branicky, M., Phillips, S. (2001). Stability of networked control systems, IEEE Contr. Syst. Magaz., 2.1:84-99 doi:10.1109/37.898794
[36] Zhivoglyadov, P. Middleton, R. (2003). Networked control design for linear systems, Automatica, 39(4):743-750 doi:10.1016/S0005-1098(02)00306-0

  title={{Robust H-Infinity Filter Design for Uncertain Linear Systems Over Network with Network-Induced Delays and Output Quantization}},
  author={Karimi, Hamid Reza},
  journal={Modeling, Identification and Control},
  publisher={Norwegian Society of Automatic Control}


Oct 2018: MIC reaches 3000 DOI Forward Links. The last 1000 took 2 years and 5 months.

May 2016: MIC reaches 2000 DOI Forward Links. The first 1000 took 34 years, the next 1000 took 2.5 years.

July 2015: MIC's new impact factor is now 0.778. The number of papers published in 2014 was 21 compared to 15 in 2013, which partially explains the small decrease in impact factor.

Aug 2014: For the 3rd year in a row MIC's impact factor increases. It is now 0.826.

Dec 2013: New database-driven web-design enabling extended statistics. Article number 500 is published and MIC reaches 1000 DOI Forward Links.

Jan 2012: Follow MIC on your smartphone by using the RSS feed.


July 2011: MIC passes 1000 ISI Web of Science citations.

Mar 2010: MIC is now indexed by DOAJ and has received the Sparc Seal seal for open access journals.

Dec 2009: A MIC group is created at LinkedIn and Twitter.

Oct 2009: MIC is now fully updated in ISI Web of Knowledge.