Nonlinear Pitch Control of an Underwater Glider Based on Adaptive Backstepping Approach

doi:10.1007/s12204-015-1683-y

Abstract

Abstract:

Underwater gliders are highly efficient and long-ranged autonomous underwater vehicles. The typical dynamic modeling in the vertical plane is of multi-input multi-output (MIMO), which is underactuated while easily affected by the ambient environment. To resolve the problems of MIMO, the dynamic model is transformed into a single-input single-output (SISO) system with two dubious parameters, and an adaptive backstepping controller is designed and applied in this paper. A Lyapunov function has been established with the total energy of the system converged in the controller. Contrast result of simulation has demonstrated that the derived nonlinear controller has higher tracking precision and faster response than the proportional-integral-derivative (PID) control method, which indicates its excellent capability to deal with the controlling problems of underwater gliders.

Key words: underwater glider|nonlinear control|adaptive backstepping|Lyapunov function

CLC Number:

P 754.3

Jun-liang CAO, Bao-heng YAO, Lian LIAN. Nonlinear Pitch Control of an Underwater Glider Based on Adaptive Backstepping Approach[J]. Journal of Shanghai Jiao Tong University(Science), 2015, 20(6): 729-734.

References 14

[1]	Stommel H.The Slocum mission[J]. Oceanography, 1989, 2(1): 22-25.
[2]	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.
[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.
[4]	Sherman J, Davis R, Owens W,et al.The autonomous underwater glider “spray”[J]. IEEE Journal of Oceanic Engineering, 2001, 26(4): 437-446.
[5]	Isa K, Arshad M.Buoyancy-driven underwater glider modelling and analysis of motion control[J]. Indian Journal of Geo-Marine Sciences, 2012, 41(6): 516-526.
[6]	Graver J G.Underwater gliders: Dynamics, control and design[D]. Princeton, USA: Department of Mechanical and Aerospace Engineering, Princeton University, 2005.
[7]	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, 2003: 951-954.
[8]	Mahmoudian N, Woolsey C.Underwater glider motion control [C]// IEEE Conference on Decision and Control. Cancun, NJ: IEEE, 2008: 552-557.
[9]	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.
[10]	Noh M M, Arshad M R, Mokhtar R M.Depth and pitch control of USM underwater glider: Performance comparison PID vs. LQR[J]. Indian Journal of Geo-Marine Sciences, 2011, 40(2): 200-206.
[11]	Yang H, Ma J. Nonlinear control for autonomous underwater glider motion based on inverse system method [J]. Journal of Shanghai Jiaotong University (Science), 2010, 15(6): 713-718.
[12]	Bhatta P, Leonard N E.Nonlinear gliding stability and control for vehicles with hydrodynamic forcing[J]. Automatica, 2008, 44(5): 1240-1250.
[13]	Li J-H, Lee P-M.Design of an adaptive nonlinear controller for depth control of an autonomous underwater vehicle[J]. Ocean Engineering, 2005, 32(17): 2165-2181.
[14]	Bhatta P.Nonlinear stability and control of gliding vehicles [D]. Princeton, USA: Department of Mechanical and Aerospace Engineering, Princeton University, 2004.

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