Nonlinear Model-Based Tracking Control of Underwater Vehicles With Three Degree-of-Freedom Fully Coupled Dynamical Plant Models: Theory and Experimental Evaluation

This paper reports a comparative experimental evaluation of one model-free proportional derivative (PD) three degree-of-freedom (DOF) controller and two model-based three-DOF controllers designed to enable low-speed, neutrally buoyant, and fully actuated underwater vehicles to perform trajectory tracking in the X, Y, and heading DOFs. We show the model-free PD controller provides locally asymptotically stable set-point regulation. We show the model-based controllers provide locally asymptotically stable trajectory tracking. The reported controllers were experimentally evaluated on the Johns Hopkins University remotely operated vehicle. We report the model-based controller’s mean absolute position and velocity tracking error is significantly smaller than the model-free PD controller for coupled maneuvers. We report the fixed, model-based controllers performed best using a parameter model including fully parameterized quadratic drag model parameters, and that the choice of parameter model has a significant effect on the performance of the model-based controllers during disparate experimental trials.

[1]  Thor I. Fossen,et al.  Position and attitude tracking of AUV's: a quaternion feedback approach , 1994 .

[2]  Junku Yuh,et al.  Experimental study on adaptive control of underwater robots , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).

[3]  A. J. Healey,et al.  Adaptive sliding mode control of autonomous underwater vehicles in the dive plane , 1990 .

[4]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[5]  Massimo Caccia,et al.  Guidance of unmanned underwater vehicles: experimental results , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[6]  M.A. Grosenbaugh,et al.  An accurate four-quadrant nonlinear dynamical model for marine thrusters: theory and experimental validation , 2000, IEEE Journal of Oceanic Engineering.

[7]  Zheping Yan,et al.  Nonlinear feedback control for trajectory tracking of an unmanned underwater vehicle , 2010, The 2010 IEEE International Conference on Information and Automation.

[8]  Dana R. Yoerger,et al.  Development, comparison, and preliminary experimental validation of nonlinear dynamic thruster models , 1999 .

[9]  L. L. Whitcomb,et al.  Preliminary experiments in nonlinear model-based tracking control of underwater vehicles with three degree-of-freedom fully-coupled dynamical plant models , 2012, 2012 Oceans.

[10]  Nilanjan Sarkar,et al.  Adaptive control of an autonomous underwater vehicle: experimental results on ODIN , 1999, Proceedings 1999 IEEE International Symposium on Computational Intelligence in Robotics and Automation. CIRA'99 (Cat. No.99EX375).

[11]  Louis L. Whitcomb,et al.  A new hydrodynamics test facility for UUV dynamics and control research , 2003, Oceans 2003. Celebrating the Past ... Teaming Toward the Future (IEEE Cat. No.03CH37492).

[12]  Luigi Villani,et al.  An output feedback algorithm for position and attitude tracking control of underwater vehicles , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[13]  Maria Letizia Corradini,et al.  An Actuator Failure Tolerant Control Scheme for an Underwater Remotely Operated Vehicle , 2011, IEEE Transactions on Control Systems Technology.

[14]  A. J. Healey Model-Based Maneuvering Controls for Autonomous Underwater Vehicles , 1992 .

[15]  Huanyin Zhou,et al.  State feedback sliding mode control without chattering by constructing Hurwitz matrix for AUV movement , 2011, Int. J. Autom. Comput..

[16]  Louis L. Whitcomb,et al.  Preliminary Field Experience with the DVLNAV Integrated Navigation System for Manned and Unmanned , 2003 .

[17]  L.L. Whitcomb,et al.  Preliminary results in experimental identification of 3-DOF coupled dynamical plant for underwater vehicles , 2008, OCEANS 2008.

[18]  Thor I. Fossen,et al.  Marine Control Systems Guidance, Navigation, and Control of Ships, Rigs and Underwater Vehicles , 2002 .

[19]  A.J. Sorensen,et al.  Design of control system of torpedo shaped ROV with experimental results , 2004, Oceans '04 MTS/IEEE Techno-Ocean '04 (IEEE Cat. No.04CH37600).

[20]  A. J. Healey,et al.  Multivariable sliding mode control for autonomous diving and steering of unmanned underwater vehicles , 1993 .

[21]  Dana R. Yoerger,et al.  Adaptive sliding control of an experimental underwater vehicle , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[22]  Daniel E. Koditschek,et al.  Comparative experiments with a new adaptive controller for robot arms , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[23]  Thor I. Fossen,et al.  Adaptive control of nonlinear underwater robotic systems , 1991 .

[24]  D. A. Smallwood,et al.  Model-based dynamic positioning of underwater robotic vehicles: theory and experiment , 2004, IEEE Journal of Oceanic Engineering.

[25]  G. Antonelli On the Use of Adaptive/Integral Actions for Six-Degrees-of-Freedom Control of Autonomous Underwater Vehicles , 2007, IEEE Journal of Oceanic Engineering.

[26]  Jean-Jacques E. Slotine,et al.  Robust trajectory control of underwater vehicles , 1985 .

[27]  Asgeir J. Sørensen,et al.  Development of dynamic positioning and tracking system for the ROV Minerva , 2012 .

[28]  Louis L. Whitcomb,et al.  Experimental Identification of Six-Degree-of-Freedom Coupled Dynamic Plant Models for Underwater Robot Vehicles , 2014 .