Discrete Event-Triggered \( H_{\infty } \) State-Feedback Control for Networked Control Systems

  • Weili Shen
  • Jingqi FuEmail author
  • Weihua Bao
  • Zhengming Gao
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 924)


This paper is concerned with \( H_{\infty } \) controller design problem for event-triggered networked control systems with bounded time-varying transmission delay and packet losses. The state-feedback controller proposed in this paper deals with event-triggered model and guarantees a required disturbance attenuation level \( \gamma \) subject to external bounded disturbances. Firstly, an improved event-triggered communication scheme is proposed. Secondly, an event-based system is transformed into a delay system. Thirdly, the asymptotical stability criterion in the sense of mean-square for the delay-dependent \( H_{\infty } \) control, and the collaborative approach of the state-feedback control gain and the event-triggered scheme parameters are derived by using LMIs technique and Lyapunov stability theory which lead to less conservatism. Finally, two examples are provided to illustrate the effectiveness of the proposed event-triggering transmission scheme and the co-design method.


\( H_{\infty } \) controller Event-triggered communication scheme Lyapunov-Krasovskii functional Time-delay NCSs 



This work was financially supported by the Science and Technology Commission of Shanghai Municipality of China under Grant (No. 17511107002).


  1. 1.
    Peng, C., Han, Q.L.: 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
  2. 2.
    Zhang, L., Gao, H., Kaynak, O.: Network-induced constraints in networked control systems—a survey. IEEE Trans. Ind. Inform. 9(1), 403–416 (2013)CrossRefGoogle Scholar
  3. 3.
    Liu, Q., Wang, Z., He, X., Zhou, D.H.: A survey of event-based strategies on control and estimation. Syst. Sci. Control. Eng. 2(1), 90–97 (2014)CrossRefGoogle Scholar
  4. 4.
    Trimpe, S., Campi, M.C.: On the choice of the event trigger in event-based estimation. In: 2015 International Conference on Event-based Control, Communication, and Signal Processing (EBCCSP), pp. 1–8, 17–19 June 2015Google Scholar
  5. 5.
    Zhang, X.M., Han, Q.L.: Event-triggered dynamic output feedback control for networked control systems. IET Control Theory Appl. 8(4), 226–234 (2014)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Wu, W., Reimann, S., Görges, D., Liu, S.: Suboptimal event-triggered control for time-delayed linear systems. IEEE Trans. Autom. Control 60(5), 1386–1391 (2015). Scholar
  7. 7.
    Li, F., Fu, J., Du, D.: An improved event-triggered communication mechanism andL∞control co-design for network control systems. Inf. Sci. 370–371, 743–762 (2016)CrossRefGoogle Scholar
  8. 8.
    Hu, S., Yue, D.: Event-based H filtering for networked system with communication delay. Signal Process. 92(9), 2029–2039 (2012)CrossRefGoogle Scholar
  9. 9.
    Chen, X., Hao, F.: Periodic event-triggered state-feedback and output-feedback control for linear systems. Int. J. Control Autom. Syst. 13(4), 779–787 (2015)CrossRefGoogle Scholar
  10. 10.
    Peng, C., Han, Q.L.: A novel event-triggered transmission scheme and L2 control co-design for sampled-data control systems. IEEE Trans. Autom. Control 58(10), 2620–2626 (2013)CrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • Weili Shen
    • 1
  • Jingqi Fu
    • 1
    Email author
  • Weihua Bao
    • 2
  • Zhengming Gao
    • 2
  1. 1.Department of Automation, College of Mechatronics Engineering and AutomationShanghai UniversityShanghaiChina
  2. 2.Shanghai Automation Instrumentation Co., Ltd.ShanghaiChina

Personalised recommendations