DOI QR코드

DOI QR Code

6 자유도 수중로봇 플랫폼의 백스테핑 제어를 위한 제어이득 최적화

Gain Optimization of a Back-Stepping Controller for 6-Dof Underwater Robotic Platform

  • 김지훈 (서울대학교 기계항공공학부 대학원) ;
  • 김종원 (서울대학교 기계항공공학부 대학원) ;
  • 진상록 (서울대학교 기계항공공학부 대학원) ;
  • 서태원 (영남대학교 기계공학부) ;
  • 김종원 (서울대학교 기계항공공공학부)
  • Kim, Jihoon (Graduate School of Mechanical and Aerospace Engineering, Seoul National Univ.) ;
  • Kim, Jong-Won (Graduate School of Mechanical and Aerospace Engineering, Seoul National Univ.) ;
  • Jin, Sangrok (Graduate School of Mechanical and Aerospace Engineering, Seoul National Univ.) ;
  • Seo, TaeWon (School of Mechanical Engineering, Yeungnam Univ.) ;
  • Kim, Jongwon (School of Mechanical and Aerospace Engineering, Seoul National Univ.)
  • 투고 : 2013.03.19
  • 심사 : 2013.09.11
  • 발행 : 2013.10.01

초록

This paper presents gain optimization of a 6-DOF underwater robotic platform with 4 rotatable thrusters. To stabilize the 6-DOF motion of the underwater robotic platform, a back-stepping controller is designed with 6 proportional gains and 6 derivative gains. The 12 gains of the backstepping controller are optimized to decrease settling time in step response in 6-DOF motion independently. Stability criterion and overshoots are used as a constraint of the optimization problem. Trust-region algorithm and hybrid Taguchi-Random order Coordinate search algorithm are used to determine the optimal parameters, and the results by two methods are analyzed. Additionally, the resulting controller shows improved performance under disturbances.

키워드

참고문헌

  1. Franklin, G. F., Powell, J. D., and Emami-Naeini, A., "Feedback Control of Dynamic Systems," Prentice Hall, 6th ed., pp. 243-336, 2009.
  2. Ziegler, J. G. and Nichols, N. B., "Optimum Setting for Automatic Controllers," Transaction of ASME, Vol. 64, pp. 759-768, 1942.
  3. Skogestad, S. and Postlethwaite, I., "Multivariable Feedback Control: Analysis and Design," Wiley-Interscience, 2nd ed., pp. 15-66, 2005.
  4. Lurie, B. and Enright, P., "Classical Feedback Control with Matlab," CRC Press, pp. 31-51, 2000.
  5. Thangaraj, R., Chelliah, T. R., Pant, M., Abraham, A., and Grosan, C., "Optimal Gain Tuning of PI speed Controller in Induction Motor Drives Using Particle Swarm Optimization," Logic Journal of the IGPL, Vol. 19, No. 2, pp. 343-356, 2010.
  6. Liu, C. and Hsu Y., "Design of a Self-Tuning PI Controller for a STATCOM using Particle Swarm Optimization," IEEE Transactions of Industrial Electronics, Vol. 57, No. 2, pp. 702-715, 2010. https://doi.org/10.1109/TIE.2009.2028350
  7. Soltani, S. and Piltan, F., "Design Artificial Nonlinear Controller Based on Computed Torque Like Controller with Tunable Gain," World Applied Sciences Journal, Vol. 14, No. 9, pp. 1306-1312, 2011.
  8. Hunnekens, B. G. B., Heerrtjes, M. F., van de Wouw, N., and Nijmeijer, H., "Model-Based Piecewise Affine Variable-Gain Controller Synthesis," 2013 American Control Conference(ACC), 2013.
  9. Seo, T., "Control Gain Tuning of the 3-DOF Micro Parallel Mechanism Platform via Design of Experiment Methodology," J. Korean Soc. Precis. Eng., Vol. 29, No. 11, pp. 1207-1213, 2012. https://doi.org/10.7736/KSPE.2012.29.11.1207
  10. Lee, K. and Kim, J., "Control Gain Tuning of a Simultaneous Multi-Axis PID Control System by Taguchi Method," J. Korean Soc. Precis. Eng., Vol. 16, No. 6, pp. 25-35, 1999.
  11. Jin, S., Lee, S., Kim, J., and Seo, T., "Starfish Capture Robotic Platform: Conceptual Design and Analysis," J. Korean Soc. Precis. Eng., Vol. 29, No. 9, pp. 978-985, 2012. https://doi.org/10.7736/KSPE.2012.29.9.978
  12. MathWorks, "MATLAB," http://www.mathworks.co.kr.html (Accessed 17 March 2013)
  13. Fossen, T. I., "Guidance and Control of Ocean Vehicles," John Wiley & Sons, pp. 5-56, 1994.
  14. Newman, J. N., "Marine Hydrodynamics," MIT Press, pp. 328-384, 1997.
  15. Georgiades, C., "Simulation and Control of an Underwater Hexapod Robot," M.Sc. Thesis, Department of Mechanical Engineering, McGill Univ., 2005.
  16. Khalil, H. K., "Nonlinear Systems," Prentice-Hall, pp. 589-603, 3rd ed., 2001.
  17. Peace, G. S., "Taguchi Methods," Addison-Wesley, pp. 273-291, 1993.
  18. MathWorks, "fmincon," http://www.mathworks.co.kr/help/optim/ug/fmincon.html (Accessed 17 March 2013)
  19. Jin, S., Lee, S., Kim, J., Kim, J., and Seo, T., "Design of Hovering Underwater Robotic Platform to Capture Harmful Marine Organisms," Int. Conf. on Control, Automation and Systems, pp. 1747-1751, 2012.