Feedback linearisation of uncertain nonlinear systems with time delay

Feedback linearisation of uncertain nonlinear systems with time delay

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A control scheme for a class of feedback linearisable nonlinear systems with uncertainty and time delay is proposed. Using the adaptive sliding mode control based on the reduction method, a controller compensating the uncertainty and time delay is introduced. Specifically, the delay-dependent stability analysis for the considered system is presented.


    1. 1)
    2. 2)
      • W. Wu , Y.S. Chou . Output tracking control of uncertain nonlinear systems with an input time delay. IEE Proc., Control Theory Appl. , 43 , 309 - 318
    3. 3)
      • Oguchi, T., Kawata, S., Richard, J.P.: `Sliding mode control of retarded nonlinear systems via finite spectrum assignment approach', Proc. 41st IEEE Conf. on Decision and Control, 2002, p. 999–1004.
    4. 4)
    5. 5)
      • Y.H. Roh , J.H. Oh . Robust stabilization of uncertain input-delay systems by sliding mode control with delay compensation. Automatica , 1861 - 1865
    6. 6)
      • Al-Shamali, S.A., Crisalle, O.D., Latchman, H.A.: `An approach to stabilize linear systems with state and input delay', Proc. 22nd Amer. Control Conf., 2003, p. 875–880.
    7. 7)
      • Mazenc, F., Bliman, P.A.: `Backstepping design for time-delay nonlinear systems', Proc. 42nd IEEE Conf. on Decision and Control, 2003, p. 4551–4556.
    8. 8)
      • D.S. Yoo , M.J. Chung . A variable structure control with simple adatation laws for upper bounds on the norm of the uncertainties. IEEE Trans. Autom. Control , 6 , 860 - 865
    9. 9)
      • J. Hale , Verduyn , S.M. Lunel . (1993) Introduction to functional differential equations.

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