ROBUST FINITE-TIME TRACKING WITH SWITCHED CONTROLLERS

Ehsan Azadi Yazdi and Ryozo Nagamune

References

  1. [1] H. Lin and P.J. Antsaklis, Stability and stabilizability of switched linear systems: A short survey of recent results, Proc. IEEE Int. Symposium on Intelligent Control, Cyprus, 2005, 24–29.
  2. [2] J.P. Hespanha, P. Naghshtabrizi, and Y. Xu, A survey of recent results in networked control systems, Proceedings of the IEEE, 95(1), 2007, 138–162.
  3. [3] A. Feuer, G.C. Goodwin, and M. Salgado, Potential benefits of hybrid control for linear time invariant plants, Proceedings of the American Control Conference, 5, 1997, 2790–2794.
  4. [4] N.H. McClamroch and I. Kolmanobsky, Performance benefits of hybrid control design for linear and nonlinear systems, Proceedings of the IEEE, 88(7), 2000, 1083–1096.
  5. [5] K. Lau and R. Middleton, On the use of switching control for systems with bounded disturbances, Proceedings of IEEE Conference on Decision and Control, 4, 2000, 3598–3603.
  6. [6] M.L. Corradini and G. Orlando, An observer based switching control strategy for the stabilization of uncertain multi-inputmulti-output plants, International Journal of Control, 80(4), 2007, 583–592.
  7. [7] A. Paul and M.G. Safonov, Model reference adaptive control using multiple controllers and switching, Proceedings of the IEEE Conf. on Decision and Control, 4, 2003, 9–12.
  8. [8] A.S. Zayed, A. Hussain, and M.J. Grimble, A nonlinear PIDbased multiple controller incorporating a multilayered neural network learning submodel, Control and Intelligent Systems, 34(3), 2006, 177–185.
  9. [9] D. Liberzon, Switching in systems and control (Boston, MA: Birkh¨auser, 2003).
  10. [10] J.P. Hespanha and A.S. Morse, Switching between stabilizing controllers, Automatica, 38(11), 2002, 1905–1917.
  11. [11] J. Daafouz, P. Riedinger, and C. Iung, Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach, IEEE Transactions on Automatic Control, 47(11), 2002, 1883–1887.
  12. [12] F. Long, S. Fei, and S. Zheng, State feedback singular H∞ control for switched linear systems, Control and Intelligent Systems, 36(1), 2008, 17–26.
  13. [13] G. Zhai and A. N. Michel, On practical stability of switched systems, Proc. 41st IEEE Conf. on Decision and Control, Las Vegas, NV, 2002, 3488–3493.
  14. [14] P. Dorato, An overview of finite-time stability, in L. Menini, L. Zaccarian, and C.T. Abdallah (eds.), Current trends in nonlinear systems and control (Boston, MA: Birkh¨auser, 2006), 185–194.
  15. [15] X. Xu, S. He, and G. Zhai, Practical uniform asymptotic stabilizability of switched systems with time-varying subsystems, Proc. 2007 American Control Conference, New York, NY, 2007, 681–686.
  16. [16] W. Xiang, J. Xiao, and C. Xiao, On finite-time stability and stabilization for switched discrete linear systems, Control and Intelligent Systems, 39(2), 2011, 122–128. 175
  17. [17] F. Amato, M. Ariola, and P. Dorato, Finite-time control of linear systems subject to parametric uncertainties and disturbances, Automatica, 37(9), 2001, 1459–1463.
  18. [18] X. Huang, W. Lin, and B. Yang, Global finite-time stabilization of a class of uncertain nonlinear systems, Automatica, 41(5), 2005, 881–888.
  19. [19] F. Amato, M. Ariola, C. Cosentino, C.T. Abdallah, and P. Dorato, Necessary and sufficient conditions for finite-time stability of linear systems, Proceedings of American Control Conference, 5, 2005, 4452–4456.
  20. [20] F. Amato, M. Ariola, and C. Cosentino, Finite-time stabilization via dynamic output feedback, Automatica, 42(2), 2006, 337–342.
  21. [21] S. Zhao, J. Sun, and L. Liu, Finite-time stability of linear timevarying singular systems with impulsive effects, International Journal of Control, 81(11), 2008, 1824–1826.
  22. [22] Y. Hong and Z.P. Jiang, Finite-time stabilization of nonlinear systems with parametric and dynamic uncertainties, IEEE Transactions on Automatic Control, 51(12), 2006, 1950–1956.
  23. [23] Y. Hong, J. Wang, and D. Cheng, Adaptive finite-time control of nonlinear systems with parametric uncertainty, IEEE Transactions on Automatic Control, 51(5), 2006, 858–862.
  24. [24] V. Bompart, P. Apkarian, and D. Noll, Control design in the time and frequency domain using nonsmooth techniques, Systems and Control Letters, 57(3), 2008, 271–282.
  25. [25] E. Azadi Yazdi, Multiple robust controllers design for linear uncertain systems, Ph.D. Dissertation, University of British Columbia, Vancouver, BC, 2011.
  26. [26] C.E. Okwudire and Y. Altintas, Hybrid modeling of ball screw drives with coupled axial, torsional, and lateral dynamics, Journal of Mechanical Design, 131(7), 2009, 071002, (9).

Important Links:

Go Back