한국지능시스템학회논문지 (Journal of the Korean Institute of Intelligent Systems)

  • 제19권2호
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  • Pages.168-173
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  • 2009
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  • 1976-9172(pISSN)
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  • 2288-2324(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
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계단식 관측기에 의한 수중 차의 상태추정

State Estimation for Underwater Vehicles by Means of Cascade Observers

  • 발행 : 2009.04.25
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⟨ 이전 논문 다음 논문 ⟩

초록

본 논문은 수중 차의 차속도와 프로펠러 각속도를 추정하는 문제를 다룬다. 계단식 관측기는 측정된 위치 값으로부터 속도값 추정을 위해 사용한다. 고이득 관측기(high-gain observer)에 전형적으로 생기는 전형적인 문제를 없애기 위하여 계단식 구조의 관측기가 설계되었다. 고이득 관측기처럼 시스템 다이나믹스와 파라미터로부터 무관하게 설계할 수 있으며 단순한 구조를 가진다 관측기의 첫 단계에서 출력 값이 추정되고 측정된 출력의 1계 미분 값이 관측기의 두 번째 단계를 통해 추정된다. 또한 출력의 n 번째 미분 값은 관측기의 n+1 번째 단계에서 추정된다. 제안된 관측기가 전체 점근적 안정도를 보장함을 보여준다. 시뮬레이션 결과는 기존의 고이득 관측기에 비해 제안된 관측기가 수중 차의 차속도와 프로펠러 각속도를 더 우수하게 추정함을 보여준다.

This paper investigates the estimation problem of vehicle velocity and propeller angular velocity on the underwater vehicle. Inspired by but different from a high-gain observer, the cascade observer features a cascade structure and adaptive observer gains. In doing so the cascade observer attempts to overcome some of the typical problems that may pose to a high-gain observer. As in the case of a high-gain observer, the cascade observer structure is simple and universal in the sense that it is independent of the system dynamics and parameters. A cascade observer is used for the estimation of velocity from measured position. In the 1st step of the observer, the output is estimated, and the 1st order derivative of measured output is estimated via the 2nd step of the observer. Also, nth order derivative of the output is estimated in the (n+1)th step of the observer. It is shown that the proposed observer guarantees globally asymptotical stability. By simulation results, the proposed observer scheme for the estimations of vehicle velocity and propeller angular velocity shows better performance than the scheme based on the existing observer.

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참고문헌

  1. F. Alonge, F. D'Ippolito and F. M. Raimondi, 'Trajectory tracking of underactuated underwater vehicles,' Proceedings of the 40th IEEE Conference on Decision and Control, pp. 4421-4426. 2001
  2. S. Zhao, J. Yuh and H. T. Choi, 'Adaptive DOB control of underwater robotic vehicles,' MTS/IEEE Conference and Exhibition on OCEANS, vol. 1, pp. 397-402. 2001
  3. G. Bartolini, E. Punta and E. Usai, 'Tracking control of underwater vehicles including thruster dynamics by second order sliding modes,' Proceedings of the IEEE International Conference on Oceans, vol. 3, pp. 1645-1649, 1998
  4. W. Lohmiller and J. E. Slotine, 'Control system design for mechanical systems using contraction theory,' IEEE Trans. Automat. Contr., vol. 45, no. 5, pp. 984-989, 2000 https://doi.org/10.1109/9.855568
  5. G. Antonelli, F. Caccavale, S. Chiaverini and L. Villani, 'Tracking control for underwater vehicle-manipulator systems with velocity estimation,' IEEE Trans. Oceanic Engineering, vol. 25, no. 3, pp. 399-413, 2000 https://doi.org/10.1109/48.855403
  6. W. Lohmiller and J. E. Slotine, 'Applications of metric observers for nonlinear systems,' Proceedings of the IEEE International Conference on Control Applications, pp. 367-372, 1996
  7. G. Besancon, 'Further Results on High Gain Observers for Nonlinear Systems,' Proceedings of the 38th IEEE Conference on Decision and Control, vol. 3, pp. 2904-2909. 1999
  8. A. Dabroom, H. K. Khalil, 'Discrete-time implementation of high-gain observers for numerical differentiation,' International Journal of Control, vol. 72, no. 17, pp. 1523-1537, 1999 https://doi.org/10.1080/002071799220029
  9. A. Tornambe, 'Use of asymptotic observers having high-gains in the state and parameter estimation,' Proceedings of the 28th IEEE Conference on Decision and Control, pp. 1791-1794, 1989 https://doi.org/10.1109/CDC.1989.70462
  10. H. Hammouri and N. Marchand, 'High gain observer for a class of implicit systems,' Proceedings of the 39th IEEE Conference on Decision and Control, pp, 804-808, 2000
  11. G. Besancon, 'Further results on high gain observers for nonlinear systems,' Proceedings of the 38th IEEE Conference on Decision and Control, pp. 2904-2909, 1999
  12. E. Bullinger and F. Allgower, 'An adaptive high-gain observer for nonlinear systems,' Proceedings of the 36th IEEE Conference on Decision and Control, pp. 4348-4353. 1997
  13. A. Isidori, Nonlinear Control Systems, Springer-Verlag, 1995
  14. A. Tornambe, 'Use of asymptotic observer having high-gains in the state and parameter estimation,' Proceedings of the 28th IEEE Conference on Decision and Control, pp. 1791-1794. 1989 https://doi.org/10.1109/CDC.1989.70462
  15. H. K. Khalil, 'Adaptive output feedback control of nonlinear systems represented by input-output models,' IEEE Trans. Automat. Contr., vol. 41, no. 2, pp. 177-188, 1996 https://doi.org/10.1109/9.481517
  16. E. S. Shin and K. W. Lee, 'Robust output feedback control of robot manipulators using high-gain observer,' Proceedings of the IEEE International Conference on Control Applications, vol. 1, pp. 881-886, 1999
  17. J. A. Heredia and W. Yu, 'A high-gain observer-based PD control for robot manipulator,' American Control Conference, pp. 2518-2522, 2000
  18. S. Seshagiri and H. K. Khalil, 'Longitudinal adaptive control of a platoon of vehicles,' Proceedings of the American Contr. Conf., pp. 3681-3685, 1999
  19. A. Tornambe, 'High-gain observers for nonlinear systems,' Int. J. of Systems Science, pp, 1475-1489. 1992
  20. A. Isidori, Nonlinear Control Systems, Springer-Verlag, 1995
  21. M. Fliess, 'Generalized controller canonical form for linear and nonlinear dynamics,' IEEE Trans. Automat. Contr., vol. 35, no. 9, pp, 994-1001, 1990 https://doi.org/10.1109/9.58527
  22. J. E. Slotine and W. Li, Applied Nonlinear Control, Prentice Hall, 1991
  23. D. Yoerger, J. Cooke and J. J. Slotine, 'The influence of thruster dynamics on underwater vehicle behavior and their incorporation into control system design,' IEEE Trans. Oceanic Engineering, vol. 15, no. 3, pp. 167-178, 1990 https://doi.org/10.1109/48.107145
  24. P. A. Ioannou and J. Sun, Robust Adaptive Control, Prentice Hall, 1996