Skip to main content
SpringerLink
Log in

Decentralized feedback control for wireless sensor and actuator networks with multiple controllers

  • Original Article
  • Published:
International Journal of Machine Learning and Cybernetics Aims and scope Submit manuscript

Abstract

In this paper, the design of the optimal decentralized full-state-feedback control is considered for a wireless sensor and actuator network with multiple controllers in the presence of stochastic network-induced delays and plant state noise. In particular, using the quadratic cost function, the design problem with decentralized controllers is formulated as a non-cooperative linear quadratic game. Then, the optimal control law of each controller is obtained that is a function of the current plant state and finite past control signals. The performance of the proposed algorithm is evaluated by a stable control system and an application of the load frequency control system in power grid.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  1. Hur H, Ahn H (2012) Robust control for mobility and wireless communication in cyber-physical systems with application to robot teams. Proc IEEE 100(1):164–178

    Article  Google Scholar 

  2. Chai S, Liu GP, Rees D, Xia Y (2008) Design and practical implementation of internet-based predictive control of a servo system. IEEE Trans Control Syst Technol 16(1):158–168

    Article  Google Scholar 

  3. Zhang Q, Lapierre L, Xiang X (2013) Distributed control of coordinated path tracking for networked nonholonomic mobile vehicles. IEEE Trans Ind Inf 9(1):472–484

    Article  Google Scholar 

  4. Zhang W, Branicky MS, Phillips SM (2001) Stability of networked control systems. IEEE Control Syst Mag 21(1):84–99

    Article  Google Scholar 

  5. Nilsson J, Bernhardsson B, Wittenmark B (1996) Stochastic analysis and control of real-time systems with random time delays. In: IFAC world congress, pp 267–272

  6. Nilsson J, Bernhardsson B, Wittenmark B (1998) Stochastic analysis and control of real-time systems with random time delays. Automatica 34(1):57–64

    Article  MathSciNet  MATH  Google Scholar 

  7. Hu S, Zhu W (2003) Stochastic optimal control and analysis of stability of networked control systems with long delay. Automatica 39(11):1877–1884

    Article  MathSciNet  MATH  Google Scholar 

  8. Du Z, Yue D, Hu S (2014) H-infinity stabilization for singular networked cascade control systems with state delay and disturbance. IEEE Trans Ind Inf 10(2):882–894

    Article  Google Scholar 

  9. Hespanha J, Naghshtabrizi P, Xu Y (2007) A survey of recent results in networked control systems. Proc IEEE 95(1):138–162

    Article  Google Scholar 

  10. Zhang L, Gao H, Kaynak O (2013) Network-induced constraints in networked control systems: a survey. IEEE Trans Ind Inf 9(1):403–416

    Article  Google Scholar 

  11. Tabbara M, Nesic D, Teel A (2007) Stability of wireless and wireline networked control systems. IEEE Trans Automat Control 52(9):1615–1630

    Article  MathSciNet  MATH  Google Scholar 

  12. Araujo J, Mazo MJ, Anta A, Tabuada P, Johansson KH (2014) System architectures, protocols and algorithms for aperiodic wireless control systems. IEEE Trans Ind Inf 10(1):175–184

    Article  Google Scholar 

  13. Hart Communication Foundation. http://www.hartcomm.org/

  14. ISA 100 WIRELESS. http://www.isa100wci.org/

  15. Robinson CL, Kumar PR (2008) Optimizing controller location in networked control systems with packet drops. IEEE J. Sel. Areas Commun. 26(4):661–671

    Article  Google Scholar 

  16. Goodwin GC, Quevedo DE, Silva EI (2008) Architectures and coder design for networked control systems. Automatica 44(1):248–257

    Article  MathSciNet  MATH  Google Scholar 

  17. Quevedo DE, Johansson KH, Ahln A, Jurado I (2013) Adaptive controller placement for wireless sensor-actuator networks with erasure channels. Automatica 49(11):3458–3466

    Article  MathSciNet  MATH  Google Scholar 

  18. Gupta V, Dana AF, Hespanha JP, Murray RM, Hassibi B (2009) Data transmission over networks for estimation and control. IEEE Trans Automat Control 54(8):1807–1819

    Article  MathSciNet  MATH  Google Scholar 

  19. Garone E, Sinopoli B, Goldsmith A, Casavola A (2012) LQG control for MIMO systems over multiple erasure channels with perfect acknowledgment. IEEE Trans Automat Control 57(2):450–456

    Article  MathSciNet  Google Scholar 

  20. Xin K, Cao X, Chen J, Cheng P, Xie L (2015) Optimal controller location in wireless networked control systems. Int J Robust Nonlinear Control 25(2):301–319

    Article  MathSciNet  MATH  Google Scholar 

  21. Gao H, Chen T, Lam J (2008) A new delay system approach to network-based control. Automatica 44(1):39–52

    Article  MathSciNet  MATH  Google Scholar 

  22. Shen Q, Zhang T, Barac F, Gidlund M (2014) PriorityMAC: a priority-enhanced MAC protocol for critical traffic in industrial wireless sensor and actuator networks. IEEE Trans Ind Inf 10(1):824–835

    Article  Google Scholar 

  23. Tiberi U, Fischione C, Johansson KH, Benedetto MD (2013) Energy-efficient sampling of networked control systems over IEEE 802.15.4 wireless networks. Automatica 49(3):712–724

    Article  MathSciNet  MATH  Google Scholar 

  24. Murray RM (2007) Recent research in cooperative control of multivehicle systems. ASME J Dyn Syst Meas Control 129(5):571–583

    Article  Google Scholar 

  25. Engwerda JC (2005) Linear quadratic dynamic optimization and differential game theory. Wiley, Chichester

    Google Scholar 

  26. Semsar-Kazerooni E, Khorasani K (2009) Multi-agent team cooperation: a game theory approach. Automatica 45(10):2205–2213

    Article  MathSciNet  MATH  Google Scholar 

  27. Mukaidani H (2011) Local feedback Pareto strategy for weakly coupled large-scale discrete-time stochastic systems. IET Control Theory Appl 5(17):2005–2014

    Article  MathSciNet  Google Scholar 

  28. Olfati-Saber R, Murray RM (2004) Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans Automat Control 49(9):1520–1533

    Article  MathSciNet  MATH  Google Scholar 

  29. Pajic M, Sundaram S, Pappas GJ, Mangharam R (2011) The wireless control network: a new approach for control over networks. IEEE Trans Automat Control 56(10):2305–2318

    Article  MathSciNet  Google Scholar 

  30. Wang Z, Ding D, Dong H, Shu H (2013) \(H_\infty\) consensus control for multi-agent systems with missing measurements: the finite-horizon case. Syst Control Lett 62(10):827–836

    Article  MathSciNet  MATH  Google Scholar 

  31. Ulusoy A, Gurbuz O, Onat A (2011) Wireless model-based predictive networked control system over cooperative wireless network. IEEE Trans Ind Inf 7(1):41–51

    Article  Google Scholar 

  32. Wang Z, Wang X, Liu L, Huang M (2015) Optimal state feedback control for wireless networked control systems with decentralized controllers. IET Control Theory Appl 9(6):852–862

    Article  MathSciNet  Google Scholar 

  33. Astrom KJ (1970) Introduction to stochastic control theory. Academic Press, New York

    MATH  Google Scholar 

  34. Astrom KJ, Wittenmark B (1997) Computer-controlled systems: theory and design, 3rd edn. Prentice Hall, New York

    Google Scholar 

  35. Fosha CE, Elgerd OI (1970) The megawatt frequency control problem: a new approach via optimal control theory. IEEE Trans Power Appl Syst PAS 89(4):563–577

    Article  Google Scholar 

  36. Dong L, Zhang Y (2010) On design of a robust load frequency controller for interconnected power systems. In: IEEE American Control Conference on, pp 1731–1736

Download references

Author information

Authors and Affiliations

  1. Beijing Advanced Innovation Center for Future Internet Technology, Beijing University of Technology, Beijing, People’s Republic of China

    Zhuwei Wang & Yanhua Zhang

  2. Beijing Laboratory of Advanced Information Networks, Beijing University of Technology, Beijing, People’s Republic of China

    Zhuwei Wang & Yanhua Zhang

  3. Electrical Engineering Department, Columbia University, New York, NY, USA

    Xiaodong Wang

  4. Beijing University of Posts and Telecommunications, Beijing, People’s Republic of China

    Lihan Liu

  5. Institute of Microelectronics of Chinese Academy of Science, Beijing, People’s Republic of China

    Mo Huang

Authors
  1. Zhuwei Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xiaodong Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Lihan Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Mo Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Yanhua Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xiaodong Wang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, Z., Wang, X., Liu, L. et al. Decentralized feedback control for wireless sensor and actuator networks with multiple controllers. Int. J. Mach. Learn. & Cyber. 8, 1471–1483 (2017). https://doi.org/10.1007/s13042-016-0518-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13042-016-0518-y

Keywords

Search

Navigation