NURBS curve adaptive five-segment acceleration and deceleration control algorithm

Author(s):  
Wei Chen ◽  
Wending Yuan ◽  
Zhenyu Zhu ◽  
Xiaoqing Zhang
2011 ◽  
Vol 2-3 ◽  
pp. 619-623
Author(s):  
Geng Zhu Wang

The computer simulation method is used to test the correctness of the NURBS curve interpolation algorithm, through the comparison of the five S-phased curve acceleration and deceleration control method and the line acceleration and deceleration control method, to validate the superiority of the five S-phased curve acceleration and deceleration control method.


Author(s):  
Junzhao Han ◽  
Wenhua Chen

To limit velocity fluctuations and to achieve a controllable jerk value in a glass polishing process, a new velocity control algorithm is proposed based on nonuniform rational B-splines (NURBS). The key of this algorithm is replacing the traditional linear acceleration–deceleration with flexible NURBS acceleration–deceleration. Based on the linear acceleration–deceleration algorithm, the control points of the NURBS curve are confirmed, and the final velocity of the polishing wheel center is solved using the Preston equation. With jerk continuity and limitations of the servo system, nonlinear equations are constructed, and the weighting factors corresponding to the control points are obtained. Cubic velocity control equations can be derived from the obtained feature parameters, which include the final velocity, control points, weighting factors and knot vectors. Based on the proposed NURBS acceleration–deceleration algorithm, a fourth-order Runge–Kutta formula was used to obtain the initial points, and the Milne–Hamming equation was used to predict and correct the next point. The predictor-corrector interpolation algorithm for parametric trajectory was implemented during the polishing process. The experimental results indicate that the proposed approach guarantees limited fluctuations of the relative velocity at contact points and ensure smoother velocity changes at dangerous points.


1999 ◽  
Author(s):  
Qingfeng Wang ◽  
Linyi Gu ◽  
Yongxiang Lu

Abstract The smoothness of acceleration and deceleration process is a serious problem in valve control system with high inertia load, especially in the hydraulic systems in construction machines. In this paper, a meter-in and meter-out independent regulating method, in which the two sides of actuator are controlled by a meter-in valve and a meter-out valve respectively, is put forward, in one hand, the meter-out valve could control the actuator’s outlet pressure to avoid the ultra-high outlet pressure when actuator decelerates or brakes suddenly. On the other hand, the dynamic damping ratio of valve control system could be raised through calculated flow feedback control algorithm. Secondly, a grading control algorithm in dynamic process of high inertia load is adopted. When the actuator’s velocity is far from its command value, the actuator’s inlet and outlet pressure are controlled. After the velocity error decrease to a threshold, a state feedback control algorithm based on parameters on line estimating is employed to realize both its velocity accuracy and the smoothness of dynamic process. Experiments show that the actuator’s velocity could increase or decrease to its command value accurately, smoothly and rapidly after the above method and algorithm are applied.


2011 ◽  
Vol 2-3 ◽  
pp. 523-526
Author(s):  
Geng Zhu Wang

To ensure a given chord error, through the division of the cusp, the NURBS (Non-Uniform Rational B-Splins) curve is divided into several sections and the speed of the various sections is planned accordingly. The acceleration and deceleration time period is recalculated, which results in a smooth speed transition curve.


2011 ◽  
Vol 88-89 ◽  
pp. 67-71
Author(s):  
Bao Shan You ◽  
Kai Feng Liu ◽  
Feng Lian Zeng ◽  
Li Ying Pei

The new generation of Field Programmable Gate Array (FPGA) technology enables to embed a processor to construct a System on a Programmable Chip( SoPC). A stepper motion control IC for X-Y table using SoPC technology is proposed in this thesis. The proposed motion control IC contains two modules. One module performs the functions of schedule and logic control. Due to the need of complicated control algorithm, it is implemented by software using Nios II embedded processor. The other module performs the functions of interpolation, acceleration and deceleration. Due to the need of high performance, this module is implemented by Programmable Logic Device (PLD) in FPGA. The use of SoPC technology can make the motion control IC of X-Y table more compact, high performance and low cost .


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