Open Access Open Access  Restricted Access Subscription Access

Pitch and Depth Control of Underwater Glider Using LQG and LQR via Kalman Filter


Affiliations
1 Dept. of Mech. Engg., Universiti Teknologi Petronas, Malaysia
2 Dept. of Electrical Engg., Universiti Teknologi Petronas, Malaysia
 

   Subscribe/Renew Journal


Underwater gliders are adversely affected by ocean currents because of their low speed, which is compounded by an inability to make quick corrective manoeuvres due to limited control surface and weak buoyancy driven propulsion system. In this paper, Linear Quadratic Regulator (LQR) and Linear Quadratic Gaussian (LQG) robust controllers are presented for pitch and depth control of an underwater glider. The LQR and LQG robust control schemes are implemented using MATLAB/Simulink. A Kalman filter was designed to estimate the pitch of the glider. Based on the simulation results, both controllers are compared to show the robustness in the presence of noise. The LQG controller results shows good control effort in presence of external noise and the stability of the controller performance is guaranteed.

Keywords

Underwater Glider, Linear Quadratic Regulator, Linear Quadratic Gaussian, Longitudinal Stability, Kalman Filter.
User
Subscription Login to verify subscription
Notifications
Font Size

  • D.C. Webb, P.J. Simonetti and C.P. Jones. 2001. Slocum: An underwater glider propelled by environmental energy, IEEE J. Oceanic Engg., 26, 447-452. https://doi.org/10.1109/48.972077.
  • M. Arima, N. Ichihashi and Y. Miwa. 2009. Modelling and motion simulation of an underwater glider with independently controllable main wings, Oceans 2009-Europe, 1-6.
  • F. Zhang. 2014. Modeling, Design and Control of Gliding Robotic Fish, Michigan State University.
  • J.G. Graver, R. Bachmayer, N.E. Leonard and D.M. Fratantoni. 2003. Underwater glider model parameter identification, Proc. 13th Int. Symp. Unmanned Untethered Submersible Tech.
  • S. Zhang, J. Yu, A. Zhang and F. Zhang. 2013. Spiraling motion of underwater gliders: Modeling, analysis, and experimental results, Ocean Engg., 60, 1-13. https://doi.org/10.1016/j.oceaneng.2012.12.023
  • M.G. Joo and Z. Qu. 2015. An autonomous underwater vehicle as an underwater glider and its depth control, Int. J. Control, Automation and Systems, 13, 1212-1220. https://doi.org/10.1007/s12555-014-0252-8
  • J.G. Graver. 2005. Underwater gliders: Dynamics, control and design, PhD Thesis, Princeton University.
  • P. Bhatta and N.E. Leonard. 2008. Nonlinear gliding stability and control for vehicles with hydrodynamic forcing, Automatica, 44, 1240-1250. https://doi.org/10.1016/j.automatica.2007.10.006.
  • M.M. Noh, M.R. Arshad and R.M. Mokhtar. 2011. Depth and pitch control of USM underwater glider: Performance comparison PID vs. LQR, Indian J. Geo-Marine Sciences, 40, 200-206.
  • K. Isa and M. Arshad. 2012. Buoyancy-driven underwater glider modelling and analysis of motion control, Indian J. Geo-Marine Sciences, 41, 516-526.
  • H. Yang and J. Ma. 2011. Nonlinear feed forward and feedback control design for autonomous underwater glider, J. Shanghai Jiaotong University (Science), 16, 11-16.
  • E. Sebastian and M.A. Sotelo. 2007. Adaptive fuzzy sliding mode controller for the kinematic variables of an underwater vehicle, J. Intelligent & Robotic Systems, 49, 189-215. https://doi.org/10.1007/s10846-007-9144-y.
  • B.D. Anderson and J.B. Moore. 2007. Optimal Control: Linear Quadratic Methods, Courier Corporation.
  • M.Y. Javaid, M. Ovinis, N. Thirumalaiswamy, F. Hashim, A. Maimun and B. Ullah. 2015. Dynamic motion analysis of a newly developed autonomous underwater glider with rectangular and tapered wing, Indian J. Geo-Marine Sciences, 44(12), 1928-1936.
  • Y. Zhang. 1998. Current Velocity Profiling from an Autonomous Underwater Vehicle with the Application of Kalman Filtering, Massachusetts Institute of Tech.
  • T.I. Fossen. 2011. Handbook of Marine Craft Hydrodynamics and Motion Control, John Wiley & Sons. https://doi.org/10.1002/9781119994138.

Abstract Views: 470

PDF Views: 171




  • Pitch and Depth Control of Underwater Glider Using LQG and LQR via Kalman Filter

Abstract Views: 470  |  PDF Views: 171

Authors

B. Ullah
Dept. of Mech. Engg., Universiti Teknologi Petronas, Malaysia
M. Ovinis
Dept. of Mech. Engg., Universiti Teknologi Petronas, Malaysia
M. B. Baharom
Dept. of Mech. Engg., Universiti Teknologi Petronas, Malaysia
S. S. A. Ali
Dept. of Electrical Engg., Universiti Teknologi Petronas, Malaysia
M. Y. Javaid
Dept. of Mech. Engg., Universiti Teknologi Petronas, Malaysia

Abstract


Underwater gliders are adversely affected by ocean currents because of their low speed, which is compounded by an inability to make quick corrective manoeuvres due to limited control surface and weak buoyancy driven propulsion system. In this paper, Linear Quadratic Regulator (LQR) and Linear Quadratic Gaussian (LQG) robust controllers are presented for pitch and depth control of an underwater glider. The LQR and LQG robust control schemes are implemented using MATLAB/Simulink. A Kalman filter was designed to estimate the pitch of the glider. Based on the simulation results, both controllers are compared to show the robustness in the presence of noise. The LQG controller results shows good control effort in presence of external noise and the stability of the controller performance is guaranteed.

Keywords


Underwater Glider, Linear Quadratic Regulator, Linear Quadratic Gaussian, Longitudinal Stability, Kalman Filter.

References





DOI: https://doi.org/10.4273/ijvss.10.2.12