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A Study on an Input-Output Controller Based on the Time-Scale Properties of an Underwater Vehicle Dynamics

수중 운동체의 운동 특성을 고려한 입/출력 제어기 구성에 관한 고찰

  • Jo, Gyung-Nam (Marine Technology Education and Research Center, Seoul National University) ;
  • Seo, Dong-C. (Department of Naval Architecture & Ocean Engineering, Seoul National University) ;
  • Choi, Hang-S. (Research Institute of Marine Systems Engineering, Seoul National University)
  • 조경남 (서울대학교 BK21 해양기술인력양성사업단) ;
  • 서동철 (서울대학교 조선해양공학과) ;
  • 최항순 (서울대학교 해양시스템 공학연구소)
  • Published : 2008.10.31

Abstract

In this paper, it is shown that an input-output (I/O) feedback linearized controller can be designed rationally by utilizing the time-scale properties of heave and pitch for an underwater vehicle. It is assumed that the dynamics of the vehicle is restricted to the vertical plane. An output-feedback control is designed, which stabilizes steady cruising paths. It is shown that the vehicle dynamics with acceleration as output becomes minimum phase. The dynamics can be transformed into a reduced system through a kind of partial linearization and singular perturbation technique. The reduced system is not only minimum phase but also exactly I/O linearizable via feedback. The I/O dynamic characteristics of the heave and pitch modes can be made linear and decoupled. Furthermore it becomes independent of cruising condition such as vehicle velocity. This study may help for designing autopilot systems for underwater vehicles.

Keywords

References

  1. Abkowitz, M.A., 1969, Stability and Motion Control of Ocean Vehicles, M.I.T. Press, USA
  2. Bae, J.Y., Sohn, K.H., Kwon, H.K. and Lee, S.K., 2007, "A Study on Changes in Appendage Design for Improvement of Dynamic Stability of Manta-type Unmanned Undersea Vehicle," Journal of Society of Naval Architects of Korea, Vol. 44, No. 3, pp. 323-331 https://doi.org/10.3744/SNAK.2007.44.3.323
  3. Bhatta, P. and Leonard, N.E., 2004, "A Lyapunov Function for Vehicles with Lift and Drag: Stability of Gliding," Proc. of the 43th IEEE Conf. on Decision and Control, pp. 4101-4106
  4. Cha, D., CHoi, J.Y. and Seo, J.H., 2004, "Compensation of Actuator Dynamics in Nonlinear Missile Control," IEEE trans. on Control Systems Technology, Vol. 12, No. 4, pp. 620-626 https://doi.org/10.1109/TCST.2004.825046
  5. Choi, J.H., Yeo, D.J., Rhee, K.P. and Park, J.Y., 2006, "On the Vertical Plane Dynamics Modeling and Depth Control of a Submerged Body Moving beneath Free Surface," Journal of Society of Naval Architects of Korea, Vol. 43, No. 6, pp. 647-655 https://doi.org/10.3744/SNAK.2006.43.6.647
  6. Fossen, T.I., 2002, Marine Control Systems, Marine Cybernetics, Norway
  7. Healey, A.J., 1992, Marine Vehicle Dynamics Lecture Notes and Problem Sets, Naval Postgraduates School, Monterey, CA
  8. Healey, A.J. and Lienard, D., 1993, "Multivariable Sliding Mode Control for Autonomous Diving and Steering of Unmanned Underwater Vehicles," IEEE Journal of Oceanic Engineering, Vol. 19, No. 3, pp. 327-339 https://doi.org/10.1109/JOE.1993.236372
  9. Huang, J. Lin, C.F., Cloutier, J.R., Evers, J.H. and D' Souza, C., 1992, "Robust Feedback Linearization Approach to Autopilot Design," Proc. of IEEE Conf. on Control Application, 1, pp. 220-225
  10. Jang, J.H. and Park, W.G., 2006, "The Variation of Flow Field and Hydrodynamic Coefficients of Submarine by Changes of Angle of Attack and Yaw Angle," Journal of Society of Naval Architects of Korea, Vol. 43, No. 4, pp. 460-466 https://doi.org/10.3744/SNAK.2006.43.4.460
  11. Khalil, H.K, 2002, Nonlinear System $3^{rd}$ Ed., Prentice Hall, USA
  12. Kokotovic, P., Khalil, H. K. and O'Reilly, J., 1999, Singular Perturbation Methods in Control: analysis and Design, SIAM, USA
  13. Lee, J.I. and Ha, I.J., 1999, "Autopilot Design for Highly Maneuvering STT Missiles via Singular Perturbation-like Techniques," IEEE trans. on Control Systems Technology, Vol. 7, pp. 466-477 https://doi.org/10.1109/87.772162
  14. Lin, C.F., 1994, Advanced Control System Design, Englewood Cliffs, NJ: PTR Prentice Hall, USA
  15. McGooking, E.W., Murray-Smith, D.J., Lin, Y. and Fossen, T.I., 2000, "Experimental Results from Supply Ship Autopilot Optimisation Using Genetic Algorithms," Trans. of the Institute of Measurement and control TIMC-22(2), pp. 141-178 https://doi.org/10.1177/014233120002200203
  16. Oh, J.H. and Ha, I.J., 1997, "Missile Autopilot Design via Functional Inversion and Timescaled Transformation," IEEE trans. on Aerospace and Electronic Systems, Vol. 33, pp. 64-76 https://doi.org/10.1109/7.570709
  17. Romano, J.J. and Singh, S.N., 1990, "I-O Map Inversion, Zero Dynamics and Flight Control," IEEE trans. on Aerospace and Electronic Systems, Vol. 26, pp. 1022-1028 https://doi.org/10.1109/7.62254
  18. Seol, D.M., Rhee, K.P. and Yeo, D.J., 2005, "An Experimental Study of the Submerged Depth Effect on the Manoeuvrability in a Horizontal Plane of an Underwater Vehicle," Journal of Society of Naval Architects of Korea, Vol. 42, No. 6, pp. 551-558 https://doi.org/10.3744/SNAK.2005.42.6.551
  19. Son, K.H., Lee, S.K. and Ha, S.P., 2006, "Mathematical Model for Dynamics of Mantatype Unmanned Undersea Vehicle with Six Degree of Freedom and Characteristics of Manoeuvrability Response," Journal of Society of Naval Architects of Korea, Vol. 43, No. 4, pp. 399-413 https://doi.org/10.3744/SNAK.2006.43.4.399
  20. Yeo, D.J., Yoon, H.K., Kim, Y.G. and Lee, C.M., 2006, "Sensitivity Analysis on the Stability of a Submarine Concerning its Design Parameters," Journal of Society of Naval Architects of Korea, Vol. 43, No. 4, pp. 521-528 https://doi.org/10.3744/SNAK.2006.43.4.521