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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Loizou, S.G. |
| Copyright Year | 2011 |
| Description | Author affiliation: Faculty of Mechanical Engineering and Materials Science and Engineering, Cyprus University of Technology, 45 Kitiou Kyprianou Str., Limassol 3041, CYPRUS (Loizou, S.G.) |
| Abstract | This paper proposes a novel solution to the navigation problem by mapping an obstacle cluttered environment to a trivial domain called the point world, where the navigation task is reduced to connecting the images of the initial and destination configurations by a straight line. Due to this effect the underlying transformation is termed the “Navigation Transformation”. The properties of this transformation are studied in this paper as well as its capability to provide a solution to the path and motion planning problems. A construction for such a transformation is proposed. A feedback controller based on the Navigation Transformation is designed that guarantees almost global exponential stability. It is shown that by utilizing the Navigation Transformation, the time for a motion task can be abstracted by means of an appropriately designed time abstracting controller. In addition to the theoretical guarantees, a set of simulation case studies on a star shaped world are provided to demonstrate the effectiveness of the methodology. |
| Starting Page | 303 |
| Ending Page | 308 |
| File Size | 276559 |
| Page Count | 6 |
| File Format | |
| ISBN | 9781457701245 |
| e-ISBN | 9781457701252 |
| DOI | 10.1109/MED.2011.5983166 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2011-06-20 |
| Publisher Place | Greece |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Jacobian matrices Navigation Tin Planning Trajectory Robots |
| Content Type | Text |
| Resource Type | Article |
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