Vibration control of an axially moving system by using backstepping technique

In this article, a control scheme is designed for the vibration attenuation of an axially moving accelerated/decelerated system. Applying S-curve acceleration/deceleration method and backstepping technique, a boundary control is constructed to stabilize the system and sign function is employed to handle unknown boundary disturbance. The bounded stability of the controlled system is achieved through rigorous Lyapunov analysis without any discretisation or simplification of the system dynamics. Numerical simulations are conducted to show the feasibility and effectiveness of the control designed.

[1]  Shuzhi Sam Ge,et al.  Boundary control of a flexible marine riser with vessel dynamics , 2010, Proceedings of the 2010 American Control Conference.

[2]  K. Hong,et al.  Simultaneous control of longitudinal and transverse vibrations of an axially moving string with velocity tracking , 2012 .

[3]  Shuzhi Sam Ge,et al.  Top Tension Control of a Flexible Marine Riser by Using Integral-Barrier Lyapunov Function , 2015, IEEE/ASME Transactions on Mechatronics.

[4]  Zhijia Zhao,et al.  Adaptive boundary control of an axially moving belt system with high acceleration/deceleration , 2016 .

[5]  Shuzhi Sam Ge,et al.  Vibration Control of a Flexible Beam With Output Constraint , 2015, IEEE Transactions on Industrial Electronics.

[6]  Zhihua Qu,et al.  Robust and adaptive boundary control of a stretched string on a moving transporter , 2001, IEEE Trans. Autom. Control..

[7]  Shuzhi Sam Ge,et al.  Robust adaptive control of a thruster assisted position mooring system , 2014, Autom..

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

[9]  Fumitoshi Matsuno,et al.  Energy-based control of axially translating beams: varying tension, varying speed, and disturbance adaptation , 2005, IEEE Transactions on Control Systems Technology.

[10]  Shuzhi Sam Ge,et al.  Vibration Control of a Nonuniform Wind Turbine Tower via Disturbance Observer , 2015, IEEE/ASME Transactions on Mechatronics.

[11]  Yu Liu,et al.  Modeling and boundary control of a flexible marine riser coupled with internal fluid dynamics , 2013 .

[12]  Christopher D. Rahn,et al.  Adaptive vibration isolation for axially moving strings: theory and experiment , 2002, Autom..

[13]  S. Ge,et al.  Modeling and Vibration Control for a Nonlinear Moving String With Output Constraint , 2015, IEEE/ASME Transactions on Mechatronics.

[14]  I. Kanellakopoulos,et al.  A toolkit for nonlinear feedback design , 1992 .

[15]  M. Krstić,et al.  Boundary Control of PDEs , 2008 .

[16]  Liu Yu.  Robust boundary control for flexible fluid-transporting marine riser based on internal fluid dynamics , 2012 .

[17]  K. Hong,et al.  Asymptotic stabilization of a nonlinear axially moving string by adaptive boundary control , 2010 .

[18]  Shuzhi Sam Ge,et al.  Vibration Control of Flexible Marine Riser Systems With Input Saturation , 2016, IEEE/ASME Transactions on Mechatronics.

[19]  Shuzhi Sam Ge,et al.  Robust Adaptive Boundary Control of a Vibrating String Under Unknown Time-Varying Disturbance , 2010, IEEE Transactions on Control Systems Technology.

[20]  Shuzhi Sam Ge,et al.  Boundary Output-Feedback Stabilization of a Timoshenko Beam Using Disturbance Observer , 2013, IEEE Transactions on Industrial Electronics.

[21]  Yong Tao,et al.  Look-Ahead Algorithm with Whole S-Curve Acceleration and Deceleration , 2013 .

[22]  M. Krstić.  Boundary Control of PDEs: A Course on Backstepping Designs , 2008 .

[23]  Yu Liu,et al.  Boundary control of an axially moving belt , 2013, Proceedings of the 32nd Chinese Control Conference.