Planar trajectory planning and tracking control design for underactuated AUVs

This paper addresses the combined problem of trajectory planning and tracking control for underactuated autonomous underwater vehicles (AUVs) on the horizontal plane. Given a smooth, inertial, 2D reference trajectory, the planning algorithm uses vehicle dynamics to compute the reference orientation and body-fixed velocities. Using these, the error dynamics are obtained. These are stabilized using backstepping techniques, forcing the tracking error to an arbitrarily small neighborhood of zero. Simulation results for a constant velocity trajectory, i.e. a circle, and a time-varying velocity one, i.e. a sinusoidal path, are presented. The parametric robustness is considered and it is shown that tracking remains satisfactory.

[1]  Joao P. Hespanha,et al.  Position tracking of underactuated vehicles , 2003, Proceedings of the 2003 American Control Conference, 2003..

[2]  Zhong-Ping Jiang,et al.  Global tracking control of underactuated ships by Lyapunov's direct method , 2002, Autom..

[3]  Thor I. Fossen,et al.  Guidance and control of ocean vehicles , 1994 .

[4]  Olav Egeland,et al.  Control properties of underactuated vehicles , 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.

[5]  Kristin Ytterstad Pettersen,et al.  Tracking control of an underactuated ship , 2003, IEEE Trans. Control. Syst. Technol..

[6]  Mahmut Reyhanoglu,et al.  Exponential stabilization of an underactuated autonomous surface vessel , 1997, Autom..

[7]  Kristin Ytterstad Pettersen,et al.  Underactuated dynamic positioning of a ship-experimental results , 2000, IEEE Trans. Control. Syst. Technol..

[8]  Warren E. Dixon,et al.  Tracking and regulation control of an underactuated surface vessel with nonintegrable dynamics , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[9]  H. Nijmeijer,et al.  Underactuated ship tracking control: Theory and experiments , 2001 .

[10]  A. P. Aguiar,et al.  Dynamic positioning and way-point tracking of underactuated AUVs in the presence of ocean currents , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[11]  Kristin Ytterstad Pettersen,et al.  Global uniform asymptotic stabilization of an underactuated surface vessel , 2002, IEEE Trans. Autom. Control..

[12]  Evangelos Papadopoulos,et al.  Trajectory Planning and Tracking Control of Underactuated AUVs , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[13]  D. Mayne.  Nonlinear and Adaptive Control Design [Book Review] , 1996, IEEE Transactions on Automatic Control.

[14]  Khac Duc Do,et al.  Global tracking control of underactuated ships with off-diagonal terms , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[15]  Kristin Ytterstad Pettersen,et al.  Time-varying exponential stabilization of the position and attitude of an underactuated autonomous underwater vehicle , 1999, IEEE Trans. Autom. Control..

[16]  Junku Yuh,et al.  Design and Control of Autonomous Underwater Robots: A Survey , 2000, Auton. Robots.

[17]  Carlos Silvestre,et al.  Trajectory Tracking for Autonomous Vehicles: An Integrated Approach to Guidance and Control , 1998 .