Energy-shaping-based nonlinear controller design for rotary cranes with double-pendulum effect considering actuator saturation

Abstract Dynamic performance analysis and controller design become more difficult when the load sway in rotary cranes exhibits double-pendulum characteristics. Furthermore, uncertain parameters and external disturbances in the crane system make it difficult for traditional methods to obtain satisfactory control performance. In addition, in an actual crane system, because of physical constraints, the output torque of the motors cannot be infinite. Therefore, the motor torque calculated by existing methods may exceed the maximum value, and actuator saturation will occur, which will affect the control performance. For this purpose, an energy-shaping-based nonlinear controller is presented after simplifying the original crane model. Stability analysis is carried out using the Lyapunov technique and LaSalle's invariance theorem. Numerical simulations validate that the proposed method can provide a robust control performance superior to that of traditional controllers.

[1]  He Chen,et al.  Neural Network-Based Adaptive Antiswing Control of an Underactuated Ship-Mounted Crane With Roll Motions and Input Dead Zones , 2020, IEEE Transactions on Neural Networks and Learning Systems.

[2]  Menghua Zhang,et al.  An Enhanced Coupling Nonlinear Tracking Controller for Underactuated 3D Overhead Crane Systems , 2018 .

[3]  Abdul Rashid Husain,et al.  Improved unity magnitude input shaping scheme for sway control of an underactuated 3D overhead crane with hoisting , 2019, Mechanical Systems and Signal Processing.

[4]  M. O. Tokhi,et al.  An optimal performance control scheme for a 3D crane , 2016 .

[5]  Xiongxiong He,et al.  Control of the bridge crane by constructing a Lyapunov function: theoretical design and experimental verification , 2017 .

[6]  Ning Sun,et al.  Nonlinear Control of Underactuated Systems Subject to Both Actuated and Unactuated State Constraints With Experimental Verification , 2020, IEEE Transactions on Industrial Electronics.

[7]  Suk-Gyu Lee,et al.  Fuzzy-Logic-based control of payloads subjected to double-pendulum motion in overhead cranes , 2016 .

[8]  Xin Deng,et al.  Sliding-Mode-Based Trajectory Tracking and Load Sway Suppression Control for Double-Pendulum Overhead Cranes , 2019, IEEE Access.

[9]  He Chen,et al.  Transportation Control of Double-Pendulum Cranes With a Nonlinear Quasi-PID Scheme: Design and Experiments , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[10]  Jian Wang,et al.  An LMI-Based Simple Robust Control for Load Sway Rejection of Rotary Cranes with Double-Pendulum Effect , 2019, Mathematical Problems in Engineering.

[11]  Dongkyoung Chwa,et al.  Sliding-Mode-Control-Based Robust Finite-Time Antisway Tracking Control of 3-D Overhead Cranes , 2017, IEEE Transactions on Industrial Electronics.

[12]  He Chen,et al.  Adaptive Anti-Swing and Positioning Control for 4-DOF Rotary Cranes Subject to Uncertain/Unknown Parameters With Hardware Experiments , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[13]  Auwalu M. Abdullahi,et al.  Control strategies for crane systems: A comprehensive review , 2017 .

[14]  Jie Huang,et al.  Control of Bridge Cranes With Distributed-Mass Payload Dynamics , 2015, IEEE/ASME Transactions on Mechatronics.

[15]  Jie Huang,et al.  Using continuous function to generate shaped command for vibration reduction , 2013, J. Syst. Control. Eng..

[16]  Junqi Xu,et al.  Adaptive Neural-Fuzzy Robust Position Control Scheme for Maglev Train Systems With Experimental Verification , 2019, IEEE Transactions on Industrial Electronics.

[17]  Shuzhi Sam Ge,et al.  Adaptive Control of a Flexible Crane System With the Boundary Output Constraint , 2014, IEEE Transactions on Industrial Electronics.

[18]  Abolghasem A. Raie,et al.  A neural network self tuner based on input shapers behavior for anti sway system of gantry cranes , 2013 .

[19]  Zhou Wu,et al.  Optimal motion planning for overhead cranes , 2014 .

[20]  Keum-Shik Hong,et al.  Adaptive sliding mode control of container cranes , 2012 .

[21]  Xin Deng,et al.  Decoupled linear model and S-shaped curve motion trajectory for load sway reduction control in overhead cranes with double-pendulum effect , 2019 .

[22]  Le Anh Tuan,et al.  Robust controls for ship-mounted container cranes with viscoelastic foundation and flexible hoisting cable , 2015, J. Syst. Control. Eng..

[23]  Ehsan Maleki,et al.  Swing Dynamics and Input-Shaping Control of Human-Operated Double-Pendulum Boom Cranes , 2012 .

[24]  Auwalu M. Abdullahi,et al.  Model reference command shaping for vibration control of multimode flexible systems with application to a double-pendulum overhead crane , 2019, Mechanical Systems and Signal Processing.

[25]  Ziyad N. Masoud,et al.  Frequency-Modulation Input Shaping Control of Double-Pendulum Overhead Cranes , 2014 .

[26]  Ning Sun,et al.  An efficient online trajectory generating method for underactuated crane systems , 2014 .