Introduction to the algebra of separators with application to path planning
Contractor algebra is a numerical tool based on interval analysis which makes it possible to solve many nonlinear problems arising in robotics, such as identification, path planning or robust control. This paper presents a new notion of separators which is a pair of complementary contractors and pre...
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| Veröffentlicht in: | Engineering applications of artificial intelligence 2014-08, Vol.33, p.141-147 |
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| container_title | Engineering applications of artificial intelligence |
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| creator | Jaulin, Luc Desrochers, Benoît |
| description | Contractor algebra is a numerical tool based on interval analysis which makes it possible to solve many nonlinear problems arising in robotics, such as identification, path planning or robust control. This paper presents a new notion of separators which is a pair of complementary contractors and presents the corresponding algebra. Using separator algebra inside a paver will allow us to get an inner and an outer approximation of the solution set in a much simpler way than using any other interval approach. A path planning problem will then be considered in order to illustrate the principle of the approach. |
| doi_str_mv | 10.1016/j.engappai.2014.04.010 |
| format | Article |
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| ispartof | Engineering applications of artificial intelligence, 2014-08, Vol.33, p.141-147 |
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| language | eng |
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| source | Access via ScienceDirect (Elsevier) |
| subjects | Algebra Approximation Automatic Contractors Engineering Sciences Expert systems Interval analysis Intervals Mathematical analysis Path planning Separators Set characterization |
| title | Introduction to the algebra of separators with application to path planning |
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