# Motion Reliability Modeling and Evaluation for Manipulator Path Planning Task

Mathematical Problems in Engineering. 2015;2015 DOI 10.1155/2015/937565

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Journal Title: Mathematical Problems in Engineering

ISSN: 1024-123X (Print); 1563-5147 (Online)

Publisher: Hindawi Limited

LCC Subject Category: Technology: Engineering (General). Civil engineering (General) | Science: Mathematics

Country of publisher: United Kingdom

Language of fulltext: English

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AUTHORS

Tong Li (School of Automation, Beijing University of Posts and Telecommunications, Beijing 100876, China)

Qingxuan Jia (School of Automation, Beijing University of Posts and Telecommunications, Beijing 100876, China)

Gang Chen (School of Automation, Beijing University of Posts and Telecommunications, Beijing 100876, China)

Hanxu Sun (School of Automation, Beijing University of Posts and Telecommunications, Beijing 100876, China)

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Time From Submission to Publication: 26 weeks

Abstract | Full Text

Motion reliability as a criterion can reflect the accuracy of manipulator in completing operations. Since path planning task takes a significant role in operations of manipulator, the motion reliability evaluation of path planning task is discussed in the paper. First, a modeling method for motion reliability is proposed by taking factors related to position accuracy of manipulator into account. In the model, multidimensional integral for PDF is carried out to calculate motion reliability. Considering the complex of multidimensional integral, the approach of equivalent extreme value is introduced, with which multidimensional integral is converted into one dimensional integral for convenient calculation. Then a method based on the maximum entropy principle is proposed for model calculation. With the method, the PDF can be obtained efficiently at the state of maximum entropy. As a result, the evaluation of motion reliability can be achieved by one dimensional integral for PDF. Simulations on a particular path planning task are carried out, with which the feasibility and effectiveness of the proposed methods are verified. In addition, the modeling method which takes the factors related to position accuracy into account can represent the contributions of these factors to motion reliability. And the model calculation method can achieve motion reliability evaluation with high precision and efficiency.