Analysis of the Degeneracy Conditions for the Dynamic Model of Parallel Robots

Author(s):  
Sébastien Briot ◽  
Wisama Khalil
Robotica ◽  
2005 ◽  
Vol 24 (2) ◽  
pp. 173-181 ◽  
Author(s):  
Qing Li

Due to the demands from the robotic industry, robot structures have evolved from serial to parallel. The control of parallel robots for high performance and high speed tasks has always been a challenge to control engineers. Following traditional control engineering approaches, it is possible to design advanced algorithms for parallel robot control. These approaches, however, may encounter problems such as heavy computational load and modeling errors, to name it a few. To avoid heavy computation, simplified dynamic models can be obtained by applying approximation techniques, nevertheless, performance accuracy will suffer due to modeling errors. This paper suggests applying an integrated design and control approach, i.e., the Design For Control (DFC) approach, to handle this problem. The underlying idea of the DFC approach can be illustrated as follows: Intuitively, a simple control algorithm can control a structure with a simple dynamic model quite well. Therefore, no matter how sophisticate a desired motion task is, if the mechanical structure is designed such that it results in a simple dynamic model, then, to design a controller for this system will not be a difficult issue. As such, complicated control design can be avoided, on-line computation load can be reduced and better control performance can be achieved. Through out the discussion in the paper, a 2 DOF parallel robot is redesigned based on the DFC concept in order to obtain a simpler dynamic model based on a mass-balancing method. Then a simple PD controller can drive the robot to achieve accurate point-to-point tracking tasks. Theoretical analysis has proven that the simple PD control can guarantee a stable system. Experimental results have successfully demonstrated the effectiveness of this integrated design and control approach.


2012 ◽  
Vol 229-231 ◽  
pp. 582-587 ◽  
Author(s):  
Qing Hua Zhang ◽  
Xian Min Zhang

Kinematics and dynamics of planar 3-RRR parallel robots are presented. Firstly, kinematic equations of planar 3-RRR parallel robots are given. Then, dynamic model of the system based on Lagrange equations is obtained. Finally, the change of the drive torque and energy consumption of active joints are analyzed under the different trajectories and different loads of the moving platform is given, the results showed that the mass and trajectory of the moving platform have a critical influence on drive torque and energy consumption of the active joint. These are very important for the optimum design of the manipulator and the excellent design of the dynamic controller.


2019 ◽  
Vol 139 ◽  
pp. 329-345 ◽  
Author(s):  
Sana Baklouti ◽  
Eric Courteille ◽  
Philippe Lemoine ◽  
Stéphane Caro

2015 ◽  
Vol 37 (4) ◽  
pp. 371-412 ◽  
Author(s):  
Sébastien Briot ◽  
Georges Pagis ◽  
Nicolas Bouton ◽  
Philippe Martinet

Electronics ◽  
2019 ◽  
Vol 8 (8) ◽  
pp. 836 ◽  
Author(s):  
Pengcheng Li ◽  
Ahmad Ghasemi ◽  
Wenfang Xie ◽  
Wei Tian

Parallel robots present outstanding advantages compared with their serial counterparts; they have both a higher force-to-weight ratio and better stiffness. However, the existence of closed-chain mechanism yields difficulties in designing control system for practical applications, due to its highly coupled dynamics. This paper focuses on the dynamic model identification of the 6-DOF parallel robots for advanced model-based visual servoing control design purposes. A visual closed-loop output-error identification method based on an optical coordinate-measuring-machine (CMM) sensor for parallel robots is proposed. The main advantage, compared with the conventional identification method, is that the joint torque measurement and the exact knowledge of the built-in robot controllers are not needed. The time-consuming forward kinematics calculation, which is employed in the conventional identification method of the parallel robot, can be avoided due to the adoption of optical CMM sensor for real time pose estimation. A case study on a 6-DOF RSS parallel robot is carried out in this paper. The dynamic model of the parallel robot is derived based on the virtual work principle, and the built dynamic model is verified through Matlab/SimMechanics. By using an outer loop visual servoing controller to stabilize both the parallel robot and the simulated model, a visual closed-loop output-error identification method is proposed and the model parameters are identified by using a nonlinear optimization technique. The effectiveness of the proposed identification algorithm is validated by experimental tests.


2019 ◽  
Vol 11 (1) ◽  
pp. 168781401882346 ◽  
Author(s):  
Lianchao Sheng ◽  
Wei Li ◽  
Yuqiao Wang ◽  
Xuefeng Yang ◽  
Mengbao Fan

The increasing applications of flexible parallel robots in industrial production have presented the advantages of light weight and high speed, but at the same time, the elastic vibration problem has emerged. By investigating the modal features of flexible parallel robots so as to suppress the elastic vibration, with pinned-pinned as flexible intermediate links boundary conditions, this article analyzes the rigid-flexible coupling dynamic mathematical model of the 3-RRR (3-Rotate-Rotate-Rotate) flexible planar parallel robot with flexible intermediate links. The effect of the extremity concentrated rotation inertia of flexible intermediate links is considered in the mathematical model. Besides, the effect of inertia and coupling force on the dynamic model and the first three-order vibration responses of flexible intermediate links were discussed based on the established model. The corresponding spectrum characteristics were studied using fast Fourier transform. Comparing the frequency characteristics obtained by theoretical model and modal experiment, it was found that the results obtained by the dynamic mathematical model are quite close to the test results. Less dynamic parameters make it convenient to carry out the control program.


Robotica ◽  
2012 ◽  
Vol 31 (2) ◽  
pp. 203-216 ◽  
Author(s):  
Asier Zubizarreta ◽  
Itziar Cabanes ◽  
Marga Marcos ◽  
Charles Pinto

SUMMARYThe use of extra sensors in parallel robots can provide an increase in control performance, making it possible to fully exploit the potential of these mechanisms. In this paper, a comprehensive redundant dynamic modelling procedure for the six-degree-of-freedom Gough platform is presented. The proposed methodology makes it possible to define the model in terms of all sensorized joint variables in order to implement redundant information-based control, and an example, the Extended Computed Torque Control (Extended CTC) approach, is developed. This, applied to parallel robots, ensures better dynamic performance than the traditional CTC approach. In order to validate dynamic modelling, a two-step procedure is used in this paper. First, the redundant dynamic model is validated by comparing its dynamic performance with the previous research in the field. Second, an exhaustive study is carried out that demonstrates the advantages of the redundant dynamic model when used in the Extended CTC approach.


Author(s):  
Annika Raatz ◽  
Frank Trauden ◽  
Ju¨rgen Hesselbach

Since long time flexure hinges have been used in high precision devices instead of conventional bearings, e.g. ball or sliding bearings. Due to the natural lack of backlash, friction and slip-stick effects in flexure hinges, the accuracy of positioning or measurement devices can be highly increased. Recent applications for flexure hinges are seen in parallel robots. The integration of flexure hinges in parallel structures is quite simple because all joints, except for the drives, are passive. Since flexure hinges gain their mobility from an elastic and plastic deformation of matter, their kinematic behavior differs from the kinematics of ideal rotational joints. This leads to deviations of the compliant mechanism and its rigid body model. In this paper a kinematic model is proposed which allows for a compensation of the introduced hinge errors. Furthermore the dynamic model of a compliant parallel robot is derived and verified by means of simulation studies. This dynamic model can be used e.g. for model-based robot control algorithms or for the dimensioning of drives for compliant mechanisms.


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