Robust adaptive path following of underactuated ships

Robust path following is an issue of vital practical importance to the ship industry. In the paper, a nonlinear robust adaptive control strategy is developed to force an underactuated surface ship to follow a predefined path at a desired speed, despite the presence of environmental disturbances induced by wave, wind and ocean-current. The proposed controller is scalable and is designed using Lyapunov's direct method and the popular backstepping and parameter projection techniques. Whilst proving closed-loop stability, we obtain a new stability result for nonlinear cascade systems with non-vanishing uncertainties. It is shown that our developed control strategy is easily extendible to situations of practical importance such as parking and point-to-point navigation.

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

[2]  Zhong-Ping Jiang,et al.  Universal controllers for stabilization and tracking of underactuated ships , 2002, Syst. Control. Lett..

[3]  Darren M. Dawson,et al.  Adaptive tracking control of underactuated surface vessels , 2001, Proceedings of the 2001 IEEE International Conference on Control Applications (CCA'01) (Cat. No.01CH37204).

[4]  L. Praly,et al.  Adaptive nonlinear regulation: estimation from the Lyapunov equation , 1992 .

[5]  Antonio Pedro Aguiar,et al.  DYNAMIC POSITIONING OF AN UNDERACTUATED AUV IN THE PRESENCE OF A CONSTANT UNKNOWN OCEAN CURRENT DISTURBANCE , 2002 .

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

[7]  C. Samson Control of chained systems application to path following and time-varying point-stabilization of mobile robots , 1995, IEEE Trans. Autom. Control..

[8]  Roger Skjetne,et al.  OUTPUT MANEUVERING FOR A CLASS OF NONLINEAR SYSTEMS , 2002 .

[9]  Adriaan Arie Johannes Lefeber,et al.  Tracking Control of Nonlinear Mechanical Systems , 2000 .

[10]  Warren E. Dixon,et al.  Tracking and regulation control of an underactuated surface vessel with nonintegrable dynamics , 2002, IEEE Trans. Autom. Control..

[11]  Antonio Loría,et al.  Growth rate conditions for uniform asymptotic stability of cascaded time-varying systems , 2001, Autom..

[12]  Zhong-Ping Jiang,et al.  A recursive technique for tracking control of nonholonomic systems in chained form , 1999, IEEE Trans. Autom. Control..

[13]  H. Sira-Ramfrez On the control of the underactuated ship: a trajectory planning approach , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[14]  Zhong-Ping Jiang,et al.  Robust global stabilization of underactuated ships on a linear course: State and output feedback , 2003 .

[15]  Khac Duc Do,et al.  Underactuated ship global tracking under relaxed conditions , 2002, IEEE Trans. Autom. Control..

[16]  Xiaoming Hu,et al.  Control of mobile platforms using a virtual vehicle approach , 2001, IEEE Trans. Autom. Control..

[17]  T. Basar,et al.  H/sup /spl infin//-optimal tracking control techniques for nonlinear underactuated systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[18]  Miroslav Krstic,et al.  Nonlinear and adaptive control de-sign , 1995 .

[19]  Eduardo Sontag Smooth stabilization implies coprime factorization , 1989, IEEE Transactions on Automatic Control.

[20]  Khac Duc Do,et al.  Smooth Projection Robust Adaptive Nonlinear Control of Uncertain Time Varying Nonlinear Systems , 2000 .

[21]  E. D. Gilles,et al.  Model predictive versus linear quadratic control for the tracking problem of automatic river navigation , 1999, 1999 European Control Conference (ECC).

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

[23]  Pedro Encarnação,et al.  Path Following for Autonomous Marine Craft , 2000 .

[24]  Roger Skjetne,et al.  Nonlinear maneuvering and control of ships , 2001, MTS/IEEE Oceans 2001. An Ocean Odyssey. Conference Proceedings (IEEE Cat. No.01CH37295).

[25]  Zhong-Ping Jiang,et al.  Robust global stabilization of underactuated ships on a linear course , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

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

[27]  Antonio Bicchi,et al.  Closed loop steering of unicycle like vehicles via Lyapunov techniques , 1995, IEEE Robotics Autom. Mag..

[28]  Reza Olfati-Saber,et al.  Nonlinear control of underactuated mechanical systems with application to robotics and aerospace vehicles , 2001 .

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

[30]  O. J. Sørdalen,et al.  Exponential stabilization of nonholonomic chained systems , 1995, IEEE Trans. Autom. Control..