GLOBAL FINITE-TIME STABILIZATION FOR A CLASS OF HIGH-ORDER TIME-VARYING NON-LINEAR SYSTEMS WITH UNKNOWN CONTROL COEFFICIENTS

Fangzheng Gao and Yuqiang Wu

References

  1. [1] C. Rui, M. Reyhanoglu, I. Kolmanovsky, et al., Nonsmooth stabilization of an underactuated unstable two degrees of freedom mechanical system, Proc. 36th IEEE Conf. on Decision and Control, San Diego, Vol. 4, 1997, 3998–4003.
  2. [2] W. Lin and C. Qian, Adding one power integrator: a toolfor global stabilization of high order lower-triangular systems, Systems and Control Letters, 39, 2000, 339–351.
  3. [3] C. Qian and W. Lin, A continuous feedback approach to global strong stabilization of nonlinear systems, IEEE Transactions on Automatic Control, 46, 2001, 1061–1079.
  4. [4] W. Lin and C. Qian, Adaptive control of nonlinear parameterized system: a nonsmooth feedback framework, IEEETransactions on Automatic Control, 47, 2002, 757–774.
  5. [5] W. Lin and C. Qian, Adaptive control of nonlinearly parameterized systems: the smooth feedback case, IEEE Transactions on Automatic Control, 47, 2002, 1249–1266.
  6. [6] J. Polendo and C. Qian, A generalized homogeneous domination approach for global stabilization of inherently nonlinear systems via output feedback, International Journal of Robust and Nonlinear Control, 17, 2007, 605–629.
  7. [7] J. Polendo and C. Qian, An expanded method to robust stabilize uncertain nonlinear system, Communications Information Systems, 8, 2008, 55–70.
  8. [8] Z. Sun and Y. Liu, Adaptive stabilization for a large class of high-order nonlinear uncertain systems, International Journal of Control, 82, 2009, 1275–1287.
  9. [9] J. Zhang and Y. Liu, A new approach to adaptive controldesign without overparametrization for a class of uncertainnonlinear systems, Science China: Information Science, 54,2011, 1419–1429.
  10. [10] X. Zhang and X. Xie, Global state feedback stabilisation of nonlinear systems with high-order and low-order nonlinearities, International Journal of Control, 87, 2014, 642–652.
  11. [11] F. Gao and Y. Wu, Global state feedback stabilisation for a class of more general high-order non-linear systems, IET Control Theory and Applications, 8, 2014, 1648–1655.
  12. [12] P.S. Bhat and S.D. Bernstein, Continuous finite-time stabilization of the translational and rotational double integrators, IEEE Transactions on Automatic Control, 43, 1998, 678–682.
  13. [13] Y. Hong, J. Huang, and Y. Xu, On an output feedback finite-time stabilization problem, IEEE Transactions on Automatic Control, 46, 2001, 305–309.
  14. [14] Y. Hong, Finite-time stabilization and stabilizability of a class of controllable systems, Systems and Control Letters, 46, 2002, 231–236.
  15. [15] X. Huang, W. Lin, and B. Yang, Global finite-time stabilization of a class of uncertain nonlinear systems, Automatica, 41, 2005, 881–888.
  16. [16] Y. Hong and J. Wang, Non-smooth finite-time stabilization for a class of nonlinear systems, Science China: Information Science, 49, 2006, 80–89.
  17. [17] Y. Hong, J. Wang, and D. Cheng, Adaptive finite-time control of nonlinear systems with parametric uncertainty, IEEE Transactions on Automatic Control, 51, 2006, 858–862.
  18. [18] S. Li and Y.P. Tian, Finite-time stability of cascaded time-varying systems, International Journal of Control, 80, 2007, 646–657.
  19. [19] H. Du, C. Qian, M.T. Frye, and S. Li, Global finite-time stabilization using bounded feedback for a class of non-linear systems, IET Control Theory and Applications, 6, 2012, 2326–2336.
  20. [20] S. Ding, S. Li, and W. Zheng, Nonsmooth stabilization of a class of nonlinear cascaded systems, Automatica, 48, 2012, 2597–2606.
  21. [21] X.F. Zhang, G. Feng, and Y.H. Sun, Finite-time stabilization by state feedback control for a class of time-varying nonlinear systems, Automatica, 48, 2012, 499–504.
  22. [22] Y.J. Shen and Y.H. Huang, Global finite-time stabilisation for a class of nonlinear systems, International Journal of Systems Science, 43, 2012, 73–78.
  23. [23] E.A. Yazdi, Robust finite-time tracking with switched controllers, Control and Intelligent Systems, 40, 2012, 169–176.
  24. [24] F. Gao and F. Yuan, Finite-time stabilization of nonholonomic systems via networked feedback, Control and Intelligent Systems, 40, 2012, 186–191.
  25. [25] F. Gao and F. Yuan, Finite-time stabilization for a class of stochastic nonlinear systems, Control and Intelligent Systems, 41, 2013, 71–77.
  26. [26] Y. Wu, F. Gao, and Z. Liu, Finite-time state feedback stabilization of nonholonomic systems with low-order nonlinearities, IET Control Theory and Applications, 9, 2015, 1553–1560.
  27. [27] X. Xie, N. Duan, and C. Zhao, A combined homogeneousdomination and sign function approach to output-feedbackstabilization of stochastic high-order nonlinear systems, IEEE Transactions on Automatic Control, 59, 2014, 1303–1309.
  28. [28] B. Yang and W. Lin, Robust output feedback stabilization of uncertain nonlinear systems with uncontrollable and unobservable linearization, IEEE Transactions on Automatic Control, 50, 2005, 619–630.
  29. [29] H.K. Khalil, Nonlinear systems, 3rd ed. (Englewood Cliffs, NJ: Prentice-Hall, 2002).

Important Links:

Go Back