The Transactions of the Korean Institute of Electrical Engineers P (전기학회논문지P)

The Korean Institute of Electrical Engineers (대한전기학회)
권호 표지

Design of a Robust Adaptive Backstepping Controller for a Chaos System with Disturbances

외란을 포함한 카오스시스템의 강인 적응 백스테핑 제어기 설계

  • 현근호 (신성대학 디지털전기계열) ;
  • 가출현 (신성대학 디지털전기계열)
  • Published : 2005.09.30
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, an robust adaptive backstepping controller is proposed for the chaos system with disturbances. This controller will be applicable to the chaos system of strict-feedback form and utilize the saturation function for decreasing the effect of disturbances derived from unmodelled dynamics and external noise. It shows that backstepping algorithm can be used to solve the problems of nonlinear system very well and robust controller can be designed without the variation of adaptive law. Simulation results are provided to demonstrate the effectiveness of the proposed controller.

Keywords

References

  1. P.Pillay, R.Krishnan, 'Modeling of permanent magnet motor drives', IEEE Trans. on Industrial Electronics, Vol.35, No.4, pp.537-541, 1988 https://doi.org/10.1109/41.9176
  2. J.Y.Hung, W.Gao, 'Variable structure control : a survey', IEEE Trans. on Industrial Electronics, Vol.40, No.1, pp.2-22, 1993 https://doi.org/10.1109/41.184817
  3. A.Isidori, 'Nonlinear control systems', Springer-Verlag, 3rd Edition, 1995
  4. M.Krstic, I.Kanellakopoulos and P.V.Kokotovic, 'Nonlinear Adaptive Control Design', Jon Wiley & Sons, 1995
  5. R.Sepulchre, M.Jankovic and P.V.Kokotovic, 'Constructive Nonlinear Control', Springer-Verlag, 1997
  6. A.J.Koshkouei, A.S.I.Zinober, 'Adaptive Backstepping Control of Nonlinear Systems with Unmatched Uncertainty', Proceedings of the IEEE on Decision and Control, pp.4765-4770, Dec 2000
  7. M.Bodson, J.Chiasson, 'Differential-geometric methods for control of electric motors', International Journal on Robust Nonlinear Control, Vol.8, pp.923-954, 1998 https://doi.org/10.1002/(SICI)1099-1239(199809)8:11<923::AID-RNC369>3.0.CO;2-S
  8. J-J.E.Slotine, W.Li, 'Applied Nonlinear Control', Prentice Hall, 1991
  9. M.Zribi, A.Al-Zamel, 'Field Weakening Nonlinear Control of a Separately Excited DC Motor', Proceedings of IEEE, pp.487-491, 2004
  10. Z.Z.Liu, F.L.Luo, M.H.Rashid, 'Speed Nonlinear Control of DC Motor Drive with Field Weakening', IEEE Trans. on Industry Applications, Vol.39, No.2, March/April 2003
  11. S.J.Yoo, J.B.Park, and Y.H.Choi, 'Stable Predictive Control of Chaotic Systems Using Self-Recurrent Wavelet Neural Network', IJCAS, Vol.3, No.1, pp.43-55, 2005
  12. C.W.Park, C.H.Lee, J.H.Kim, S.H.Kim and M.G.Park, 'Design of an Adaptive Fuzzy Controller and Its Application to Controlling Uncertain Chaotic Systems', ICASE Transaction on Control Automation, and Systems Engineering, Vol.3, No.2, pp.95-105, 2001