Advertisement

Decentralized Output Regulation of a New Class of Interconnected Uncertain Nonlinear Systems

  • Ranran Li
Regular Papers Control Theory and Applications
  • 49 Downloads

Abstract

In the current paper the decentralized output regulation problem of a new class of interconnected uncertain nonlinear systems is considered. A novel decentralized high-gain input driven filter is proposed such that the output feedback based control law can be designed. Moreover, a robust multi-input changing supply function technique is presented such that the stability analysis can be performed by the non-quadratic Lyapunov functions. Therefore, the assumptions on the interconnection terms can be removed. Finally the proposed decentralized control laws are applied to the interconnected mass-spring systems immersed in the liquid and the simulation results illustrate the effectiveness of the proposed control scheme.

Keywords

Changing supply technique decentralized control high-gain filter nonlinear interconnected system 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    C. Wang, C. Wen, and Y. Lin, “Decentralized adaptive backstepping control for a class of interconnected nonlinear systems with unknown actuator failures,” Journal of the Franklin Institute, vol. 352, no. 3, pp. 835–850, March 2015.MathSciNetCrossRefMATHGoogle Scholar
  2. [2]
    C. Wang and Y. Lin, “Decentralized adaptive tracking control for a class of interconnected nonlinear time-varying systems,” Automatica, vol. 54, no. 1, pp. 16–24, January 2015.MathSciNetCrossRefMATHGoogle Scholar
  3. [3]
    C. Wang, C. Wen, and L. Guo, “Decentralized outputfeedback adaptive control for a class of interconnected nonlinear systems with unknown actuator failures,” Automatica, vol. 54, no. 1, pp. 187–196, January 2016.CrossRefMATHGoogle Scholar
  4. [4]
    C. Xie and G. H. Yang, “Decentralized adaptive fault-tolerant control for large-scale systems with external disturbances and actuator faults,” Automatica, vol. 76, no. 1, pp. 83–90, January 2017.MathSciNetCrossRefMATHGoogle Scholar
  5. [5]
    X. Li and G. H. Yang, “Adaptive decentralized control for a class of interconnected nonlinear systems via backstepping approach and graph theory,” Automatica, vol. 76, no. 2, pp. 87–95, January 2017.MathSciNetCrossRefMATHGoogle Scholar
  6. [6]
    X. Ye, “Decentralized adaptive stabilization of largescale nonlinear time-delay systems with unknown highfrequency-gain signs,” IEEE Trans. Automat. Control, vol. 56, no. 6, pp. 506–511, June 2011.MathSciNetCrossRefGoogle Scholar
  7. [7]
    Z. P. Jiang, “Decentralized and adaptive nonlinear tracking of large-scale systems via output feedback,” IEEE Transactions on Automatic Control, vol. 45, no. 11, pp. 2122–2128, November 2000.MathSciNetCrossRefMATHGoogle Scholar
  8. [8]
    X. Ye and J. Huang, “Decentralized adaptive output regulation for a class of large-scale nonlinear systems,” IEEE Transactions on Automatic Control, vol. 48, no. 2, pp. 276–281, February 2003.MathSciNetCrossRefMATHGoogle Scholar
  9. [9]
    X. Z. Jin, S. Wang, J. Qin, W. Zheng, and Y. Kang, “Adaptive fault-tolerant consensus for a class of uncertain nonlinear second-order multi-agent systems with circuit implementation,” IEEE Transactions on Circuits and Systems-I: Regular Papers, vol. 65, no. 7, pp. 2243–2255, July 2018.CrossRefGoogle Scholar
  10. [10]
    X. Z. Jin, J. Qin, Y. Shi, and W. Zheng, “Auxiliary fault tolerant control with actuator amplitude saturation and limited rate,” IEEE Transactions on Systems, Man and Cybernetics: Systems, DOI: 10.1109/TSMC.2017.2752961.Google Scholar
  11. [11]
    E. Sontag and A. Teel, “Changing supply functions in input/state stable systems,” IEEE Trans. Autom. Control, vol. 40, no. 8, pp. 1476–1478, August 1995.MathSciNetCrossRefMATHGoogle Scholar
  12. [12]
    V. O. Nikiforov, “Adaptive non-linear tracking with complete compensation of unknown disturbances,” European Journal of Control, vol. 4, no. 2, pp. 132–139, February 1998.CrossRefMATHGoogle Scholar
  13. [13]
    W. Chen, X. Li, W. Ren, and C. Wen, “Adaptive consensus of multi-agent systems with unknown identical control directions based on a novel Nussbaum-type function,” IEEE Trans. Autom. Control, vol. 59, no. 7, pp. 1887–1892, July 2014.MathSciNetCrossRefMATHGoogle Scholar
  14. [14]
    H. K. Khalil, Nonlinear Systems, Prentice Hall Press, NJ, 2002.MATHGoogle Scholar
  15. [15]
    R. Li, “Leader-following output synchronization for a class of uncertain nonlinear multi-agent systems under uniformly connected network,” Asian Journal of Control, vol. 17, no. 5, pp. 1924–1934, May 2015.MathSciNetCrossRefMATHGoogle Scholar
  16. [16]
    M. Krstic, I. Kanellakopoulos, and P. V. Kokotovic, Nonlinear and Adaptive Control Design, Wiley Press, NY, 1995.MATHGoogle Scholar
  17. [17]
    R. Li and H. K. Khalil, “On the steady-state error of a nonlinear regulator,” International Journal of Robust and Nonlinear Control, vol. 23, no. 16, pp. 1869–1879, November 2013.MathSciNetMATHGoogle Scholar
  18. [18]
    R. D. Nussbaum, “Some remarks on the conjecture in parameter adaptive control,” System & Control Letter, vol. 3, no. 5, pp. 243–246, May 1983.MathSciNetCrossRefMATHGoogle Scholar
  19. [19]
    M. Shen, J. H. Park, and D. Ye, “A separated approach to control of Markov jump nonlinear systems with general transition probabilities,” IEEE Transactions on Cybernetics, vol. 46, no. 9, pp. 2010–2018, September 2016.CrossRefGoogle Scholar
  20. [20]
    M. Shen, D. Ye, and Q. Wang, “Event-triggered H¥ filtering of Markov jump systems with general transition probabilities,” Information Sciences, vol. 418–419, no. 6 pp. 635–651, December 2017.CrossRefGoogle Scholar
  21. [21]
    X. Z. Jin, S. F. Wang, G. H. Yang, and D. Ye, “Robust adaptive hierarchical insensitive tracking control of a class of leader-follower agents,” Information Sciences, vol. 406-407, no. 1, pp. 234–247, September 2017.CrossRefGoogle Scholar

Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.College of Information ScienceNortheastern UniversityShenyangChina

Personalised recommendations