Skip to main content
Log in

Nonlinear feedforward and feedback control design for autonomous underwater glider

  • Published:
Journal of Shanghai Jiaotong University (Science) Aims and scope Submit manuscript

Abstract

Underwater gliders are highly efficient, buoyancy-driven, and winged autonomous underwater vehicles. Their dynamics are multivariable nonlinear systems with unstable internal dynamics and thus their motion control is a significant challenge. To improve the inherent efficiency and enhance the behavior of the underwater glider over a wide operating regime, a nonlinear feedforward and feedback controller was developed. The nonlinear feedforward control design is based on a new stable inversion technique which determines a causal and bounded solution for the unstable internal dynamics. The feedback control law was designed by a quadratic optimal control method. Simulation results show that the derived control system is able to deal with nonminimum phase system and successfully achieves the tracking of planned output trajectories from initial to final conditions. Furthermore, the control effort is very low, which means the glider with limited power storage has longer range and higher endurance.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Eriksen C C, Osse T J, Light R D, et al. Seaglider: A long-range autonomous underwater vehicle for oceanographic research [J]. IEEE Journal of Oceanic Engineering, 2001, 26(4): 424–436.

    Article  Google Scholar 

  2. Sherman J, Davis R E, Owens WB, et al. The autonomous underwater glider “spray” [J]. IEEE Journal of Oceanic Engineering, 2001, 26(4): 437–446.

    Article  Google Scholar 

  3. Webb D C, Simonetti P J, Jones C P. Slocum: An underwater glider propelled by environmental energy [J]. IEEE Journal of Oceanic Engineering, 2001, 26(4): 447–452.

    Article  Google Scholar 

  4. Rudnick D L, Davis R E, Eriksen C C, et al. Underwater gliders for ocean research [J]. Marine Technology Society Journal, 2004, 38(1): 48–57.

    Google Scholar 

  5. Merckelbach L M, Briggs R D, Smeed D A, et al. Current measurements from autonomous underwater gliders [C]//IEEE/OES 9th Working Conference on Current Measurement Technology. Piscataway, NJ: IEEE Press, 2008: 61–67.

    Chapter  Google Scholar 

  6. Bachmayer R, Graver J G, Leonard N E. Glider control: A close look into the current glider controller structure and future developments [C]//IEEE Oceans 2003. Piscataway, NJ: IEEE Press, 2003: 951–954.

    Google Scholar 

  7. Seo D C, Jo G, Choi H S. Pitching control simulations of an underwater glider using CFD analysis [C]//IEEE Oceans 2008. Piscataway, NJ: IEEE Press, 2008: 1–5.

    Google Scholar 

  8. Leonard N E, Graver J G. Model-based feedback control of autonomous underwater gliders [J]. IEEE Journal of Oceanic Engineering, 2001, 26(4): 633–645.

    Article  Google Scholar 

  9. Kan Lei, Zhang Yu-wen, Fan Hui, et al. Matlab-based simulation of buoyancy-driven underwater glider motion [J]. Journal of Ocean University of China, 2008, 7(1): 113–118.

    Article  Google Scholar 

  10. Wang Yan-hui, Zhang Hong-wei, Wang Shu-xin. Trajectory control strategies for the underwater glider [C]// 2009 International Conference on Measuring Technology and Mechatronics Automation. Piscataway, NJ: IEEE Press, 2009: 918–921.

    Chapter  Google Scholar 

  11. Bhatta P, Leonard N E. Stabilization and coordination of underwater gliders [C]//Proceedings of the 41st IEEE Conference on Decision and Control. Piscataway, NJ: IEEE Press, 2002: 2081–2086.

    Chapter  Google Scholar 

  12. Graver J G. Underwater gliders: Dynamics, control and design [D]. Princeton: Department of Mechanical and Aerospace Engineering, Princeton University, 2005.

    Google Scholar 

  13. Chen D, Paden B. Stable inversion of nonlinear nonminimum phase systems [J]. International Journal of Control, 1996, 64(1): 81–97.

    Article  MATH  MathSciNet  Google Scholar 

  14. Devasia S, Chen D, Paden B. Nonlinear inversionbased output tracking [J]. IEEE Transactions on Automatic Control, 1996, 41(7): 930–942.

    Article  MATH  MathSciNet  Google Scholar 

  15. Graichen K, Hagenmeyer V, Zeitz M. A new approach to inversion-based feedforward control design for nonlinear system [J]. Automatica, 2005, 41(12): 2033–2041.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jie Ma  (马 捷).

Additional information

Foundation item: the National Natural Science Foundation of China (No. 50979058), and the Special Research Fund for the Doctoral Program of Higher Education (No. 20090073110012)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yang, H., Ma, J. Nonlinear feedforward and feedback control design for autonomous underwater glider. J. Shanghai Jiaotong Univ. (Sci.) 16, 11–16 (2011). https://doi.org/10.1007/s12204-011-1088-5

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12204-011-1088-5

Key words

CLC number

Navigation