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Towards a Robust Solution of the Non-linear Kinematics for the General Stewart Platform with Estimation of Distribution Algorithms : Verso una soluzione robusta della cinematica non lineare per la piattaforma di Stewart generale con algoritmi di stima della distribuzione, in: International Journal of Advanced Robotic Systems
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Información general |
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| Autor | Martinez, Eusebio Eduardo Hernández; Peña, Sergio Ivvan Valdez; Soto, Eduardo Sánchez |
| Publicado | InTech Open Access Publisher, 2013 |
| Edición | |
| Extensión | |
| ISBN | |
| Abstract | In robotics, solving the direct kinematics
problem (DKP) for parallel robots is very often more difficult and time consuming than for their serial counterparts. The problem is stated as follows: given the joint variables, the Cartesian variables should be computed, namely the pose of the mobile platform. Most of the time, the DKP requires solving a non‐linear system of equations. In addition, given that the system could be non‐convex, Newton or Quasi‐Newton (Dogleg) based solvers get trapped on local minima. The capacity of such kinds of solvers to find an adequate solution strongly depends on the starting point. A well‐known problem is the selection of such a starting point, which requires a priori information about the neighbouring region of the solution. In order to circumvent this issue, this article proposes an efficient method to select and to generate the starting point based on probabilistic learning. Experiments and discussion are presented to show the method performance. The method successfully avoids getting trapped on local minima without the need for human intervention, which increases its robustness when compared with a single Dogleg approach. This proposal can be extended to other structures, to any non‐linear system of equations, and of course, to non‐linear optimization problems. |
| Artículos en revistas | ||
| 2000 y posteriores |
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International Journal of Advanced Robotic Systems Autor: Ottaviano, Erika; Ceccarelli, Marco; Husty, Manfred; Yu, Sung-Hoon; Kim, Yong-Tae; Park, Chang-Woo; Hyun, Chang-Ho; Chen, Xiulong; Feng, Weiming; Sun, Xianyang; Gao, Qing; Grigorescu, Sorin M.; Pozna, Claudiu; Liu, Wanli; Zhankui, Wang; Guo, Meng; Fu, Guoyu; Zhang, Jin; Chen, Wenyuan; Peng, Fengchao; Yang, Pei; Chen, Chunlin; Ding, Rui; Yu, Junzhi; Yang, Qinghai; Tan, Min; Polden, Joseph; Pan, [...] Publicado: 2004 |
| Documents: |
International Journal of Advanced Robotic Systems |
 Univ. Cassino |
 http://webuser.unicas.it/weblarm/larmindex.htm |
| Time of publication | 2013 | |
| License information |  This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License |
