Second-order sliding mode control for offshore container cranes

Open-sea stevedores of containers provide an alternative way to avoid port congestion. This process involves a mobile harbour equipped with a crane which loads/unloads containers from a large cargo ship. However, the presence of ocean waves and gusty winds can produce an excessive sway to the hoisting ropes of the crane system. This paper presents a second-order sliding mode controller for trajectory tracking and sway suppression of an offshore container crane. From the proposed control law, the asymptotic stability of the closed-loop system is guaranteed in the Lyapunov sense. Simulation results indicate that the developed control system can achieve high performance in trajectory tracking and swing angle suppression despite the presence of parameter variations and external disturbances as in the case of offshore cranes.

[1]  Q. H. Ngo,et al.  Sliding-Mode Antisway Control of an Offshore Container Crane , 2012, IEEE/ASME Transactions on Mechatronics.

[2]  Andrea Serrani,et al.  Offshore crane control based on adaptive external models , 2008, 2008 American Control Conference.

[3]  Leonid M. Fridman,et al.  Analysis of second-order sliding-mode algorithms in the frequency domain , 2004, IEEE Transactions on Automatic Control.

[4]  Ali H. Nayfeh,et al.  Dynamics and Control of Cranes: A Review , 2003 .

[5]  Giorgio Bartolini,et al.  Second-order sliding-mode control of container cranes , 2002, Autom..

[6]  Jason Lawrence,et al.  Command Shaping for Nonlinear Crane Dynamics , 2010 .

[7]  Ali H. Nayfeh,et al.  Gantry Cranes Gain Scheduling Feedback Control with Friction Compensation , 2003 .

[8]  Cheng-Yuan Chang,et al.  Fuzzy projection control law and its application to the overhead crane , 2008 .

[9]  O. Egeland,et al.  Parallel Force/Position Crane Control in Marine Operations , 2006, IEEE Journal of Oceanic Engineering.

[10]  Raja Mohd Taufika Raja Ismail,et al.  Observer-based trajectory tracking for a class of underactuated Lagrangian systems using higher-order sliding modes , 2012, 2012 IEEE International Conference on Automation Science and Engineering (CASE).

[11]  O Sawodny,et al.  Active Control for an Offshore Crane Using Prediction of the Vessel’s Motion , 2011, IEEE/ASME Transactions on Mechatronics.

[12]  Alessandro Pisano,et al.  Sliding mode control: A survey with applications in math , 2011, Math. Comput. Simul..

[13]  Warren E. Dixon,et al.  Nonlinear coupling control laws for an underactuated overhead crane system , 2003 .

[14]  Arie Levant,et al.  Principles of 2-sliding mode design , 2007, Autom..

[15]  Yang Jung Hua,et al.  Adaptive coupling control for overhead crane systems , 2005, 31st Annual Conference of IEEE Industrial Electronics Society, 2005. IECON 2005..