\( H_{{\infty }} \) Filter Designing for Wireless Networked Control Systems with Energy Constraints

  • Lisheng WeiEmail author
  • Yunqiang Ma
  • Sheng Xu
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 924)


The issue of \( H_{\infty } \) filter designing for a class of Wireless Networked Control System (WNCS) with communication constraints was discussed in this paper. Firstly, the energy consumption of wireless sensor nodes in the data acquisition stage was reduced by using time-varying sampling strategy. And the wireless sensor nodes’ energy consumption was reduced based on reducing-frequency in the data sending stage. Then the mathematical model of WNCS was described as the Asynchronous Dynamic System (ADS). By using Linear Matrix Inequality (LMI) technique, the sufficient condition of the WNCS to be stability was obtained. Finally, the numerical example was given to show the effectiveness of the proposed filter.


Energy constraints WNCS Filtering Time-varying sampling 



This work was supported by natural science research programme of colleges and universities of an-hui province under grant KJ2016A062, natural science foundation of an-hui province under grant 1608085MF146, foundation for talented young people of an-hui polytechnic university under grant 2016BJRC008, visiting study Foundation for outstanding young talent of an-hui educational committee under grant gxfxZD2016108, and the applied basic research plan of nan-tong under grant GY12017015.


  1. 1.
    Ge, X., Yang, F., Han, Q.-L.: Distributed networked control systems: A brief overview. Inf. Sci. 380, 117–131 (2017)CrossRefGoogle Scholar
  2. 2.
    Zhang, X., Han, Q.: Event-triggered H∞ control for a class of nonlinear networked control systems using novel integral. Int. J. Robust Nonlinear Control 27(4), 679–700 (2017)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Sadi, Y., SC, E.: Joint optimization of wireless network energy consumption and control system performance in wireless networked control systems. IEEE Trans. Wirel. Commun. 16(4), 2235–2248 (2017)CrossRefGoogle Scholar
  4. 4.
    Bai, J., Renquan, L., Hongye, S., Xue, A.: Modeling and control of wireless networked control system with both delay and packet loss. J. Franklin Inst. 352(10), 3915–3928 (2015)MathSciNetCrossRefGoogle Scholar
  5. 5.
    Makled, E.A., Halawa, H.H., Daoud, R.M., Amer, H.H., Refaat, T.K.: On the perform ability of hierarchical wireless networked control systems. Intell. Control Autom. 6(2), 126–133 (2015)CrossRefGoogle Scholar
  6. 6.
    Hong, Z., Gao, J., Wang, N.: Output-feedback controller design of a wireless networked control system with packet loss and time delay. Math. Probl. Eng. 1, 1–7 (2014)MathSciNetGoogle Scholar
  7. 7.
    Peng, C., Han, Q.: On designing a novel self-triggered sampling scheme for networked control systems with data losses and communication delays. IEEE Trans. Ind. Electron. 63(2), 1239–1248 (2016)CrossRefGoogle Scholar
  8. 8.
    Dong, H., Wang, Z., Gao, H.: Robust \( H_{\infty } \) filtering for a class of nonlinear networked systems with multiple stochastic communication delays and packet dropouts. IEEE Trans. Signal Process. 58(4), 1957–1966 (2010)Google Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Anhui Polytechnic UniversityWuhuChina
  2. 2.Anhui Technical College of Mechanical and Electrical EngineeringWuhuChina
  3. 3.Nantong Vocational UniversityNantongChina

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