Integral sliding mode antisway control of an underactuated overhead crane system

This paper presents an antisway control strategy for underactuated overhead crane systems. Moving the suspended load along a predefined trajectory is not an easy controlling task due to the residual swing at the end of traveling. In this paper, a robust scheme, based on integral sliding mode control and trolley disturbance observer, is derived to guarantee a fast and accurate load transfer in spite of system uncertainties and actuator nonlinearities. In association with the trajectory tracking control law, a generalized twisting algorithm guarantees the practical stability of the load sway error dynamics. A complete analysis of stability of the closed-loop system is done using the Lyapunov theory. Experimental results are presented to show the advantages of the antisway integral sliding mode controller with the trolley disturbance observer by comparing its effectiveness with a conventional approach, based on a PD controller.

[1]  John J. Craig Zhu,et al.  Introduction to robotics mechanics and control , 1991 .

[2]  Michael Defoort,et al.  A novel higher order sliding mode control scheme , 2009, Syst. Control. Lett..

[3]  Yoshiyuki Sakawa,et al.  Optimal Control of Container Cranes , 1981 .

[4]  K. Hong,et al.  A Feedback Linearization Control of Container Cranes: Varying Rope Length , 2007 .

[5]  Keum-Shik Hong,et al.  Boundary control of container cranes from the perspective of controlling an axially moving string system , 2009 .

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

[7]  Vadim I. Utkin,et al.  Sliding mode control in electromechanical systems , 1999 .

[8]  Tsutomu Mita,et al.  Optimal Control of the Crane System Using the Maximum Speed of the Trolley , 1979 .

[9]  Ho-Hoon Lee,et al.  A Sliding-Mode Antiswing Trajectory Control for Overhead Cranes With High-Speed Load Hoisting , 2006 .

[10]  Alessandro Giua,et al.  Observer-controller design for cranes via Lyapunov equivalence , 1999, at - Automatisierungstechnik.

[11]  Ho-Hoon Lee,et al.  Modeling and Control of a Three-Dimensional Overhead Crane , 1998 .

[12]  H. Troger,et al.  Time optimal control of overhead cranes with hoisting of the load , 1987, Autom..

[13]  Suk-Kyo Hong,et al.  Antisway Tracking Control of Overhead Cranes With System Uncertainty and Actuator Nonlinearity Using an Adaptive Fuzzy Sliding-Mode Control , 2008, IEEE Transactions on Industrial Electronics.

[14]  Toshiyuki Murakami,et al.  Sliding-Mode Control Scheme for an Intelligent Bicycle , 2009, IEEE Transactions on Industrial Electronics.

[15]  G. A. Manson Time optimal control methods arising from the study of overhead cranes , 1977 .

[16]  Park Min-Ho,et al.  Chattering reduction in the position control of induction motor using the sliding mode , 1989 .

[17]  Kouhei Ohnishi,et al.  Motion control for advanced mechatronics , 1996 .

[18]  Yannick Aoustin,et al.  Finite Time Stabilization of a Perturbed Double Integrator—Part I: Continuous Sliding Mode-Based Output Feedback Synthesis , 2011, IEEE Transactions on Automatic Control.

[19]  Jianqiang Yi,et al.  Structure design of two types of sliding-mode controllers for a class of under-actuated mechanical systems , 2007 .

[20]  William Singhose,et al.  Robustness analysis of input shaping commands for two-mode flexible systems , 2009 .