scholarly journals Relay System Model with Contact Bounce and Flexible Beam

Author(s):  
Rui Gao ◽  
Ivar Torstensson
Author(s):  
Michael J. Panza ◽  
Roger W. Mayne

Abstract The end point position and vibration control of a rotating flexible beam mechanism driven by a hydraulic cylinder actuator is considered. An integrated nonlinear system model comprised of beam dynamics, hydraulic actuator, control valves, and control scheme is presented. Control based on simple position feedback along with a hydraulic actuation system tuned to suppress beam vibration over a wide range of angular motion is investigated. For positioning to small to moderate mechanism angles, a linear system model with the actuator tuned for good open loop performance is developed. Actuator tuning is accomplished by varying the system hydraulic resistance according to a dimensionless parameter defining the interaction between the actuator and flexible beam. Simulation results for a closed loop system indicate that this simple tuned control provides comparable performance and requires less control effort than an untuned system with a more complex state feedback optimal controller. To compensate for geometric nonlinearities that cause instability when positioning to large mechanism angles, an active actuator tuning scheme based on continuous variation of hydraulic resistance is proposed. The active variable resistance controller is combined with simple position feedback and designed to provide a constant dimensionless actuator-flexible beam interaction parameter throughout the motion. Simulation results are presented to show the stabilizing effect of this control strategy.


IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 48859-48866
Author(s):  
Chaoyi Zhang ◽  
Yili Zheng ◽  
Yan Yao

1996 ◽  
Vol 118 (3) ◽  
pp. 449-456 ◽  
Author(s):  
M. J. Panza ◽  
R. W. Mayne

The end point position and vibration control of a rotating flexible beam mechanism driven by a hydraulic cylinder actuator are considered. An integrated nonlinear system model comprised of beam dynamics, hydraulic actuator, control valves, and control scheme is presented. Control based on simple position feedback, along with a hydraulic actuation system tuned to suppress beam vibration over a wide range of angular motion, is investigated. For positioning to small to moderate mechanism angles, a linear system model with the actuator tuned for good open-loop performance is developed. Actuator tuning is accomplished by varying the system hydraulic resistance according to a dimensionless parameter defining the interaction between actuator dynamics and the fundamental mode of the flexible beam. Simulation results for a closed-loop system indicate that this simple tuned control provides comparable performance and requires less control effort than an untuned system with a more complex state feedback optimal controller. To compensate for geometric nonlinearities that cause instability when positioning to large mechanism angles, an active actuator tuning scheme based on continuous variation of hydraulic resistance is proposed. The active variable resistance controller is combined with simple position feedback and designed to provide a constant dimensionless actuator-flexible beam interaction parameter throughout the motion. Simulation results are presented to show the stabilizing effect of this control strategy.


Author(s):  
Bo Xie ◽  
Bin Yao

This paper presented multi-objective optimization of tip tracking control for non-collocated flexible beam. The desired trajectory is specified at the tip displacement of the flexible structure, which undergoes translation base motion actuated by a linear motor. The system model is first formulated from modal truncation approach for the flexible structure representing a single Cartesian robot manipulator. The linear system model of the flexible structure always has structural uncertainties. Robust stability and robust performance on tip tracking can be expressed as H2/H∞ norm constraints, which are converted into the Linear Matrix Inequality (LMI). The multi-objective controller design is solved by the convex minimization. In order to reduce the conservatism generated when the same Lyapunov matrix is selected, the Lyapunov matrix is scaled for different norm constraints. Simulation results have demonstrated favorable tip tracking of the proposed robust controller.


2016 ◽  
Vol 136 (6) ◽  
pp. 759-766 ◽  
Author(s):  
Yu Fujita ◽  
Hiroshi Kobayashi ◽  
Takanori Kodera ◽  
Mutsumi Aoki ◽  
Hiroto Suzuki ◽  
...  

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