Vibration suppression of a 3-PRR flexible parallel manipulator using input shaping

Author(s):  
Bing Li ◽  
Xupi Zhang ◽  
James K. Mills ◽  
William L. Cleghorn ◽  
Liyang Xie
2012 ◽  
Vol 189 ◽  
pp. 312-316
Author(s):  
Yue Zhan Wang ◽  
Qi Bo Yan ◽  
Bing Li ◽  
Yu Lan Wei

The structure of a 3-DOF parallel manipulator is presented. The methodologies of multiple-mode negative impulses input shaping is introduced, which can decrease the delay time of the system response while the residual vibration is suppressed. The parameters of two-mode negative impulses and positive impulses input shapers of the 3-DOF manipulator are presented. The sensitivity analysis of these input shapers are carried out through numerical simulations, and the robust of the input shapers are presented and compared.


2011 ◽  
Vol 2-3 ◽  
pp. 372-377 ◽  
Author(s):  
Yan Yan Han ◽  
Bing Li ◽  
Yu Lan Wei ◽  
Shou Xin Zhu ◽  
Ying Jun Dai

The classic multi-mode negative impulses input shapers can suppress the residual vibration of the multi-mode system effectively. But when these several frequencies bandwidths and amplitudes of vibration modes are greatly different, the time delay and the suppression performances of input shapers are decreased. However, the hybrid multi-mode negative impulses input shapers can overcome the disadvantage. The hybrid double-mode negative impulses input shapers of a 3-DOF parallel manipulator and are constructed and compared with the classic multi-mode negative impulses input shapers. And the numerical simulations are shown out, for different frequencies bandwidths and amplitudes of vibration, and the hybrid multi-mode negative impulses input shapers can increase the total suppression performance of input shaper.


Robotica ◽  
2014 ◽  
Vol 33 (6) ◽  
pp. 1201-1230 ◽  
Author(s):  
Quan Zhang ◽  
James K. Mills ◽  
William L. Cleghorn ◽  
Jiamei Jin ◽  
Zhijun Sun

SUMMARYIn this paper, a rigid–flexible planar parallel manipulator (PPM) actuated by three linear ultrasonic motors for high-accuracy positioning is proposed. Based on the extended Hamilton's principle, a rigid–flexible dynamic model of the proposed PPM is developed utilizing exact boundary conditions. To derive an appropriate low-order dynamic model for the design of the controller, the assumed modes method is employed to discretize elastic motion. Then to investigate the interaction between the rigid and elastic motions, a proportional derivative feedback controller combined with a feed-forward-computed torque controller is developed to achieve motion tracking while attenuating the residual vibration. Then the controller is extended to incorporate an input shaper for the further suppression of residual vibration of flexible linkages. Computer simulations are presented as well as experimental results to verify the proposed dynamic model and controller. The input shaping method is verified to be effective in attenuating residual vibration in a highly coupled rigid–flexible PPM. The procedure employed for dynamic modeling and control analysis provides a valuable contribution into the vibration suppression of such a PPM.


2012 ◽  
Vol 549 ◽  
pp. 816-820 ◽  
Author(s):  
Qing Huang ◽  
Dan Zhang ◽  
Bing Li ◽  
Yu Lan Wei

The methodologies and application of multiple-mode negative impulses input shaping of a 3-DOF parallel manipulator with flexible intermediate linkages are presented in this paper. First, the structural system and the dynamic equations are expressed for a 3-DOF manipulator. Second, the multiple-mode negative impulses input shaping is introduced to reduce the residual vibration of the multiple-mode system and decrease the delay time of the system response at the same time. Finally, the theory of the multiple-mode ZV, ZVD and EI negative impulses input shapers are presented, and the two-mode negative impulses input shapers of a 3-DOF manipulator are established and compared with the positive impulses input shapers.


Author(s):  
Jinhua She ◽  
Lulu Wu ◽  
Zhen-Tao Liu ◽  
◽  
◽  
...  

Vibration suppression in servo systems is significant in high-precision motion control. This paper describes a vibration-suppression method based on input shaping and adaptive model-following control. First, a zero vibration input shaper is used to suppress the vibration caused by an elastic load to obtain an ideal position output. Then, a configuration that combines input shaping with model-following control is developed to suppress the vibration caused by changes of system parameters. Finally, analyzing the percentage residual vibration reveals that it is effective to employ the sum of squared position error as a criterion. Additionally, a golden-section search is used to adjust the parameters of a compensator in an online fashion to adapt to the changes in the vibration frequency. A comparison with other input shaper methods shows the effectiveness and superiority of the developed method.


Author(s):  
Yu Zhao ◽  
Masayoshi Tomizuka

Although input shaping is an effective approach for vibration suppression in a variety of applications, the time delay introduced is not desired. Current techniques to reduce the time delay can not guarantee zero delay or may cause non-smooth motion, which is harmful for the actuators. In order to address such issue, a modified zero time delay input shaping is proposed in this paper. Experimental results show the advantage of the proposed approach.


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