iBet uBet web content aggregator. Adding the entire web to your favor.
iBet uBet web content aggregator. Adding the entire web to your favor.



Link to original content: https://unpaywall.org/10.1007/S11424-020-9093-0
Optimal Output Tracking Control and Stabilization of Networked Control Systems with Packet Losses | Journal of Systems Science and Complexity Skip to main content
Log in

Optimal Output Tracking Control and Stabilization of Networked Control Systems with Packet Losses

  • Published:
Journal of Systems Science and Complexity Aims and scope Submit manuscript

Abstract

This paper studies the optimal output tracking control and stabilization for networked control systems with packet losses via output feedback control. Both finite-horizon and infinite-horizon cases are considered. For the finite-horizon case, the authors introduce an augmented system according to the state variable and the reference trajectory for the first time. Based on a set of difference Riccati equations, an optimal output feedback tracking controller is proposed by applying the stochastic maximum principle. And an optimal estimator is presented. For the infinite-horizon case, a necessary and sufficient condition for the stabilization of the system is provided. And an optimal output feedback stabilizing tracking controller is obtained by establishing a set of algebraic Riccati equations. Finally, numerical examples are given to verify the proposed results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Antsaklis P and Baillieul J, Guest editorial special issue on networked control systems, IEEE Trans. Automatic Control, 2004, 49(9): 1421–1423.

    Article  MathSciNet  Google Scholar 

  2. Murgas J, Murgas T, Fodrek P, et al., A networked control system for industrial applications, IFAC Proceedings Volumes, 2009, 42(1): 232–235.

    Article  Google Scholar 

  3. Jiang N J, Xu J, and Zhang S, Neural network control of networked redundant manipulator system with weight initialization method, Neurocomputing, 2018, 307: 117–129.

    Article  Google Scholar 

  4. Wang L Y, Chai T Y, and Zheng F, Neural network control and application of robotic manipulators including actuator dynamics, Acta Automatica Sinica, 2009, 35(5): 622–626.

    MathSciNet  Google Scholar 

  5. Kheirkhah A, Aschenbrenner D, Fritscher M, et al., Networked control systems with application in the industrial tele-robotics, IFAC-PapersOnLine, 2015, 48(10): 147–152.

    Article  Google Scholar 

  6. Anvari M, Telesurgery: Translation technology to clinical practice, Surgical Robotics: Systems Applications and Visions, 2011, 653–660.

  7. Yang T C, Networked control system: A brief survey, IET Control Theory and Applications, 2006, 153(4): 403–412.

    Article  Google Scholar 

  8. Hespanha J P, Naghshtabrizi P, and Xu Y G, A survey of recent results in networked control systems, Proceedings of the IEEE, 2007, 95(1): 138–162.

    Article  Google Scholar 

  9. Zhang W, Branicky M S, and Phillips S M, Stability of networked control systems, IEEE control Systems Magazine, 2001, 21(1): 84–89.

    Article  Google Scholar 

  10. Zhao M Y, Liu H P, Li Z J, et al., Fault tolerant control for networked control systems with packet loss and time delay, International Journal of Automation and Computing, 2011, 8(2): 244–253.

    Article  Google Scholar 

  11. Sun K K, Mou S S, Qiu J B, et al., Adaptive fuzzy control for non-triangular structural stochastic switched nonlinear systems with full state constraints, IEEE Transactions on Fuzzy Systems, 2019, 27(8): 1587–1601.

    Article  Google Scholar 

  12. Qiu J B, Sun K K, Wang T, et al., Observer-based fuzzy adaptive event-triggered control for pure-feedback nonlinear systems with prescribed performance, IEEE Transactions on Fuzzy Systems, 2019, 27(11): 2152–2162.

    Article  Google Scholar 

  13. Qi Q Y and Zhang H S, Output feedback control and stabilization for networked control systems with packet losses, IEEE Transactions on Cybernetics, 2017, 47(8): 2223–2234.

    Article  Google Scholar 

  14. Ma X, Qi Q Y, and Zhang H S, Optimal output feedback control and stabilization for NCSs with packet dropout and delay: TCP case, Journal of Systems Science and Complexity, 2018, 31(1): 147–160.

    Article  MathSciNet  Google Scholar 

  15. Han S Y, Tang G Y, and Zhang C M, Near-optimal tracking control for discrete-time systems with delayed input, International Journal of Control, Automation and Systems, 2010, 8(6): 1330–1335.

    Article  Google Scholar 

  16. Wang D, Liu D R, and Wei Q L, Finite-horizon neuro-optimal tracking control for a class of discrete-time nonlinear systems using adaptive dynamic programming approach, Neurocomputing, 2012, 78(1): 14–22.

    Article  Google Scholar 

  17. Luo B, Liu D, Huang T, et al., Model-free optimal tracking control via critic-only Q-learning, IEEE Transactions on Neural Networks and Learning Systems, 2016, 27(10): 1–11.

    Article  MathSciNet  Google Scholar 

  18. Zhan X S, Guan Z H, Zhang X H, et al., Optimal tracking performance and design of networked control systems with packet dropouts, Journal of the Franklin Institute, 2013, 350(10): 3205–3216.

    Article  MathSciNet  Google Scholar 

  19. Lu R, Xu Y, and Zhang R, A new design of model predictive tracking control for networked control system under random packet loss and uncertainties, IEEE Transactions on Industrial Electronics, 2016, 63(11): 6999–7007.

    Article  Google Scholar 

  20. Zhang H S, Li L, Xu J J, et al., Linear quadratic regulation and stabilization of discrete-time systems with delay and multiplicative noise, IEEE Transactions on Automatic Control, 2015, 60(10): 2599–2613.

    Article  MathSciNet  Google Scholar 

  21. Zhang W H and Chen B S, On stabilizability and exact observability of stochastic systems with their applications, Automatica, 2004, 40(1): 87–94.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chunyan Han.

Additional information

This paper was supported by the National Natural Science Foundation of China under Grant Nos. 61473134, 61573220, U1806204, the Postdoctoral Science Foundation of China under Grant No. 2017M622231, and the Fundamental Research Funds of Shandong University under Grant No. 2017JC009.

This paper was recommended for publication by Editor LIU Guoping.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, Y., Han, C. Optimal Output Tracking Control and Stabilization of Networked Control Systems with Packet Losses. J Syst Sci Complex 34, 602–617 (2021). https://doi.org/10.1007/s11424-020-9093-0

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11424-020-9093-0

Keywords

Navigation