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L1 Adaptive Controller Augmented with Feedback Linearization

피드백 선형화를 이용한 L1 적응제어기법 연구

  • 김낙완 (충남대학교 항공우주선박해양공학부) ;
  • 유창선 (한국항공우주연구원) ;
  • 강영신 (한국항공우주연구원)
  • Published : 2008.06.01

Abstract

This paper presents an approach to combine adaptive controller with feedback linearization, which extends the applicability of the adaptive controller to a wider class of systems. The adaptive controller guarantees the asymptotic tracking convergence and the transient performance of the tracking error. The feedback linearization transforms a nonlinear plant into a linear time invariant form. The asymptotic tracking convergence is shown by the use of Lyapunov stability analysis and Barbalat's lemma.

적응제어신호를 저역필터에 통과시켜 점근적 추종과 과도구간 성능을 동시에 보장하는 적응제어 기법과 비선형 시스템을 선형 시불변 형태로 변환하는 피드백 선형화 기법을 결합하여 적응제어 기법의 적용가능 범위를 확대하였다. Barbalat의 보조정리를 이용하여 추종오차가 0으로 수렴함을 증명하고 과도구간의 추종오차도 원하는 크기로 감소시킬 수 있음을 보였다.

Keywords

References

  1. Osbourn, P.V. and Whitaker, H.P. and Kezer, A., "New developments in the design of adaptive control systems", Institute of Aerospace Sciences, Paper No. 61-39, 1961
  2. Narendra, K.S. and Annaswamy, A.M., "Stable Adaptive Systems", Prentice Hall, 1989
  3. Ioannou, P.A. and Sun, J., "Robust Adaptive Control, Prentice Hall, New Jersey", 1996
  4. Slotine, J.J. and Li, W., "Applied Nonlinear Control", Prentice Hall, New Jersey, 1991
  5. Sun, J. "A modified model reference adaptive control scheme for improved transient performance", IEEE Transactions on Automatic Control, Vol.38, No.7, 1993, pp.1255-1259 https://doi.org/10.1109/9.233162
  6. Narendra, K. S. and Balakrishnan, J., "Improving transient response of adaptive control systems using multiple models and switching", IEEE Transactions on Automatic Control, Vol.39, No.9, 1993, pp.1861-1866 https://doi.org/10.1109/9.317113
  7. Cao, C. and Hovakimyan, N., "Design and analysis of a novel L1 adaptive controller, Part I: Control signal and asymptotic stability", American Control Conference, 2006
  8. Cao, C. and Hovakimyan, N., "Design and analysis of a novel L1 adaptive controller, Part II: Guaranteed transient performance", American Control Conference, 2006
  9. Yesildirek, A. and Lewis, F., "Feedback Linearization using Neural Networks", Automatica, Vol. 31,No. 11, 1995, pp. 1659-1664 https://doi.org/10.1016/0005-1098(95)00078-B
  10. Goodwin, G., Rojas, O., and Takata, H., "Nonlinear control via generalized feedback linearization using neural networks", Asian Journal of Control, Vol. 3, No. 2, June 2001, pp. 79-88 https://doi.org/10.1111/j.1934-6093.2001.tb00047.x
  11. Lewis, F., Yesildirek, A., and Liu, K., "Multilayer Neural-Net Robot Controller with Guaranteed Tracking Performance", IEEE Transactions on Neural Networks, Vol. 7, No. 2, 1996, pp. 388-399 https://doi.org/10.1109/72.485674
  12. Kim, B. and Calise, A., "Nonlinear Flight Control Using Neural Networks", Journal of Guidance, Control, and Dynamics, Vol. 20, No. 1, 1997, pp. 26-33 https://doi.org/10.2514/2.4029
  13. Kim, N., Calise, A.J., Hovakimyan, N., Prasad, J.V.R., and Corban, E., "Adaptive output feedback for high-bandwidth flight control", Journal of Guidance, Control, and Dynamics, Vol. 25, No. 6, 2002, pp. 993 - 1002 https://doi.org/10.2514/2.4985
  14. 김영일, 이상철, 김병수, "신경회로망을 이용한 헬리콥터 궤적추종제어 연구", 한국항공우주학회지, 31권 3호, pp. 50 - 57, 2003
  15. 하철근, 김병수, "모델 역변환을 이용한 종운동 자동착륙 유도제어 알고리즘 설계", 한국항공우주학회지, 32권 2호, pp. 66 - 73, 2003
  16. Sastry, S. and Isidori, A., "Adaptive Control of Linearizable Systems", IEEE Transactions on Automatic Control, Vol. 34, No. 11, 1989, pp. 1123-1131 https://doi.org/10.1109/9.40741
  17. French, M. and Rogers, E. "Approximate Models for Adaptive Feedback Linearisation", International Journal of Control 68(6), 1997, pp. 1305-1322 https://doi.org/10.1080/002071797223046
  18. Khalil, H.K., "Nonlinear Systems", Prentice Hall, Englewood Cliffs, NJ, 2002

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