Formation Path Following Control of Underactuated AUVs

Abstract This paper proposes a formation control method for two underactuated unmanned surface vessels (USVs) to follow curved paths in the presence of ocean currents. By uniting a line-of-sight (LOS) guidance law and the null-space-based behavioral control (NSB) framework, we achieve curved path following of the barycenter, while maintaining the desired vessel formation. The closed-loop dynamics are investigated using cascaded systems theory, and it is shown that the closed-loop system is USGES and UGAS, while the underactuated sway dynamics remain bounded. Simulations show that the barycenter task errors converge to zero, validating the theoretical results, while a small cross-track error is observed in the experiments.

[1]  Lionel Lapierre,et al.  Nonlinear Path Following Control of an AUV , 2007 .

[2]  Kristin Ytterstad Pettersen,et al.  Global kappa-exponential way-point maneuvering of ships: Theory and experiments , 2006, Autom..

[3]  Kristin Ytterstad Pettersen,et al.  Set-based Line-of-Sight (LOS) path following with collision avoidance for underactuated unmanned surface vessel , 2016, 2016 24th Mediterranean Conference on Control and Automation (MED).

[4]  Thor I. Fossen,et al.  Ship Formation Control: A Guided Leader-Follower Approach , 2008 .

[5]  Kristin Ytterstad Pettersen,et al.  An Integral Line-of-Sight Guidance Law with a Speed-dependent Lookahead Distance , 2018, 2018 European Control Conference (ECC).

[6]  Kristin Y. Pettersen,et al.  Leader–Follower Synchronisation for a Class of Underactuated Systems , 2017 .

[7]  Kristin Ytterstad Pettersen,et al.  On uniform semiglobal exponential stability (USGES) of proportional line-of-sight guidance laws , 2014, Autom..

[8]  Gaurav S. Sukhatme,et al.  Cooperative caging using autonomous aquatic surface vehicles , 2010, 2010 IEEE International Conference on Robotics and Automation.

[9]  Kristin Y. Pettersen Lyapunov sufficient conditions for uniform semiglobal exponential stability , 2017, Autom..

[10]  Kristin Ytterstad Pettersen,et al.  Observer Based Path Following for Underactuated Marine Vessels in the Presence of Ocean Currents: A Global Approach - With proofs , 2018, ArXiv.

[11]  António Manuel Santos Pascoal,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..

[12]  Kristin Ytterstad Pettersen,et al.  Path following for formations of underactuated marine vessels under influence of constant ocean currents , 2014, 53rd IEEE Conference on Decision and Control.

[13]  Jing Sun,et al.  Path following of underactuated marine surface vessels using line-of-sight based model predictive control ☆ , 2010 .

[14]  Antonio M. Pascoal,et al.  Coordinated motion control of marine robots , 2003 .

[15]  Thor I. Fossen,et al.  Formation Control of Underactuated Surface Vessels using the Null-Space-Based Behavioral Control , 2006, 2006 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[16]  Hector Garcia de Marina,et al.  Towards automatic oil spill confinement with Autonomous Marine Surface Vehicles , 2011, OCEANS 2011 IEEE - Spain.

[17]  Asgeir J. Sørensen,et al.  Relative Velocity Control and Integral LOS for Path Following of Underactuated Surface Vessels , 2012 .

[18]  Kristin Y. Pettersen,et al.  Output synchronization control of ship replenishment operations: Theory and experiments , 2007 .

[19]  Eduardo Sontag,et al.  Forward Completeness, Unboundedness Observability, and their Lyapunov Characterizations , 1999 .

[20]  Kristin Ytterstad Pettersen,et al.  Straight Line Path Following for Formations of Underactuated Marine Surface Vessels , 2011, IEEE Transactions on Control Systems Technology.

[21]  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..

[22]  Kristin Ytterstad Pettersen,et al.  Integral LOS control for path following of underactuated marine surface vessels in the presence of constant ocean currents , 2008, 2008 47th IEEE Conference on Decision and Control.

[23]  Thor I. Fossen,et al.  Handbook of Marine Craft Hydrodynamics and Motion Control , 2011 .

[24]  K.Y. Pettersen,et al.  Cross-track formation control of underactuated surface vessels , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.