Autopilot Design of an Autonomous Underwater Vehicle Using Robust Control

  • Jung, Keum-Young (Department of Mechanical and Intelligent Systems Engineering, Pusan National University) ;
  • Kim, In-Soo (Agency for Defense Development) ;
  • Yang, Seung-Yun (Agency for Defense Development) ;
  • Lee, Man-Hyung (School of Mechanical Engineering, Pusan National University)
  • Published : 2002.12.01

Abstract

In this paper, Η$_{\infty}$ depth and course controller of an AUV(Autonomous Underwater Vehicle) using Η$_{\infty}$ servo control is proposed. The Η$_{\infty}$ servo problem is formulated to design the controllers satisfying a robust tracking property with modeling errors and disturbances. The solution of the Η$_{\infty}$ servo problem is as fellows: first, this problem is modified as an Η$_{\infty}$ control problem for the generalized plant that includes a reference input mode, and then a sub-optimal solution that satisfies a given performance criteria is calculated by LMI(Linear Matrix Inequality) approach. The Η$_{\infty}$ depth and course controller are designed to satisfy with the robust stability about the modeling error generated from the perturbation of the hydrodynamic coefficients and the robust tracking property under disturbances(wave force, wave moment, tide). The performances of the designed controllers are evaluated with computer simulations, and finally these simulation results show the usefulness and application of the proposed Η$_{\infty}$ depth and course control system.

Keywords

References

  1. IEEE Transactions on Control System Technology v.3 no.3 Submarine $H^{\infty}$ depth control under wave disturbances F. Liceaga-Castro;G. van der Molen https://doi.org/10.1109/87.406981
  2. INST Measurement Control, Symp. AppI. Multivariable System Techniques $H^{\infty}$ multivariable design of a submarine depth control system S. J. Williams;W. B. Marshfield
  3. Journal of Control, Automation and Systems Engineering v.4 no.1 A study on the design of a path tracker and depth controller for autonomous underwater vehicles S. Y. Yang;M. H. Lee
  4. International Journal of Control v.66 no.6 Robust servo problem with $H_{\infty}$ norm constraint J. Hozumi;S. Hara;H. Fujioka https://doi.org/10.1080/002071797224405
  5. IEEE Transactions on Automatic Control v.34 no.8 State-Space solutions to standard H$_2$ and $H_{\infty}$ control problems J. C. Doyle;K. Glover;P. P. Khargonekar;B. A. Francis https://doi.org/10.1109/9.29425
  6. International Journal of Robust Nonlinear Control v.4 A linear matrix inequality approach to $H_{\infty}$ control P. Gahinet;P. Apkarian https://doi.org/10.1002/rnc.4590040403
  7. Automatica v.32 no.7 Explicit controller formulas for LMI-based $H_{infty}$ synthesis P. Gahinet https://doi.org/10.1016/0005-1098(96)00033-7
  8. DTNSRDC, SPD-0390-09 DTNSRDC revised standard submarine equation of motion J. Feldman