TRACKING CONTROL OF AN UNDERACTUATED GANTRY CRANE USING AN OPTIMAL FEEDBACK CONTROLLER

Gantry cranes have attracted a great deal of interest in transportation and industrial applications. To increase the effectiveness of gantry cranes, the control of such systems is considered vital. This paper is concerned with tracking the control of an underactuated gantry crane using an optimal feedback controller. The optimal control strategy takes into account a performance index, including integrated time and absolute error criterion. To do this, nonlinear dynamic equations of the system are derived using Lagrange’s Principle. The minimum tracking error of the trolley and the minimum oscillation of the hoisting line are assumed as design parameters, and the best gains of the feedback controller are achieved. Finally, some tracking simulations are performed which demonstrate the capability of the simple proposed method in the optimal tracking control of a gantry crane.

[1]  Ziyad N. Masoud,et al.  A Graphical Approach to Input-Shaping Control Design for Container Cranes With Hoist , 2006, IEEE Transactions on Control Systems Technology.

[2]  Ziyad N. Masoud,et al.  Effect of hoisting cable elasticity on anti-sway controllers of quay-side container cranes , 2009 .

[3]  Wahyudi Martono,et al.  Design and implementation of fuzzy logic controller for intelligent gantry crane system , 2011 .

[4]  A. N. K. Nasir,et al.  Control Schemes for Input Tracking and Anti-sway Control of a Gantry Crane , 2012 .

[5]  Mohd Ashraf Ahmad,et al.  Hybrid input shaping and PD-type Fuzzy Logic control scheme of a gantry crane system , 2009, 2009 IEEE Control Applications, (CCA) & Intelligent Control, (ISIC).

[6]  Goshaidas Ray,et al.  Active sway control of a single pendulum gantry crane system using output-delayed feedback control technique , 2010, 2010 11th International Conference on Control Automation Robotics & Vision.

[7]  Bernard Friedland,et al.  Control Systems Design , 1985 .

[8]  Fetah Kolonić,et al.  Tensor Product Model Transformation-based Controller Design for Gantry Crane Control System – An Application Approach , 2006 .

[9]  Graham C. Goodwin,et al.  Control System Design , 2000 .

[10]  Frank L. Lewis,et al.  Nonlinear feedback control of a gantry crane , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[11]  Mahmud Iwan Solihin,et al.  Fuzzy-tuned PID Anti-swing Control of Automatic Gantry Crane , 2010 .

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

[13]  Darren M. Dawson,et al.  Asymptotically Stabilizing Angle Feedback for a Flexible Cable Gantry Crane , 1999 .

[14]  Fetah Kolonić,et al.  Linear Matrix Inequalities Based H∞ Control of Gantry Crane using Tensor Product Transformation , 2011 .

[15]  Robert Stahlbock,et al.  Efficiency considerations for sequencing and scheduling of double-rail-mounted gantry cranes at maritime container terminals , 2010 .

[16]  Brian Surgenor,et al.  Performance Evaluation of the Optimal Control of a Gantry Crane , 2003 .

[17]  Mohd Ashraf Ahmad,et al.  Hybrid Fuzzy Logic Control with Input Shaping for Input Tracking and Sway Suppression of a Gantry Crane System , 2009 .

[18]  A.D.G. Hazlerigg,et al.  Automatic Control of Crane Operations , 1972 .

[19]  Katsuhiko Ogata,et al.  Modern Control Engineering , 1970 .

[20]  William Singhose,et al.  Dynamics and Control of Bridge Cranes Transporting Distributed-Mass Payloads , 2010 .

[21]  Kamal A. F. Moustafa,et al.  Nonlinear Modeling and Control of Overhead Crane Load Sway , 1988 .

[22]  I. Skrjanc,et al.  Pole placement approaches for linear and fuzzy systems , 2008, 2008 6th International Symposium on Intelligent Systems and Informatics.

[23]  Jeffrey T. Hubbell,et al.  Modern Crane Control Enhancements , 1992 .