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タイトル: | Stochastic Source Seeking by Mobile Robots |
著者: | Azuma, Shun-ichi Sakar, Mahmut Selman Pappas, George J. |
著者名の別形: | 東, 俊一 |
キーワード: | Mobile robots nonholonomic systems simultaneous-perturbation stochastic approximation source seeking |
発行日: | Sep-2012 |
出版者: | IEEE |
誌名: | IEEE Transactions on Automatic Control |
巻: | 57 |
号: | 9 |
開始ページ: | 2308 |
終了ページ: | 2321 |
抄録: | We consider the problem of designing controllers to steer mobile robots to the source (the minimizer) of a signal field. In addition to the mobility constraints, e.g., posed by the nonholonomic dynamics, we assume that the field is completely unknown to the robot and the robot has no knowledge of its own position. Furthermore, the unknown field is randomly switching. In the case where the information of the field (e.g., the gradient) is completely known, standard motion planning techniques for mobile robots would converge to the known source. In the absence of mobility constraints, convergence to the minimum of unknown fields can be pursued using the framework of numerical optimization. By considering these facts, this paper exploits an idea of the stochastic approximation for solving the problem mentioned in the beginning and proposes a source seeking controller which sequentially generates the next waypoints such that the resulting discrete trajectory converges to the unknown source and which steers the robot along the waypoints, under the assumption that the robot can move to any point in the body fixed coordinate frame. To this end, we develop a rotation-invariant and forward-sided version of the simultaneous-perturbation stochastic approximation algorithm as a method to generate the next waypoints. Based on this algorithm, we design source seeking controllers. Furthermore, it is proven that the robot converges to a small set including the source in a probabilistic sense if the signal field switches periodically and sufficiently fast. The proposed controllers are demonstrated by numerical simulations. |
著作権等: | © 2012 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
URI: | http://hdl.handle.net/2433/159898 |
DOI(出版社版): | 10.1109/TAC.2012.2186927 |
出現コレクション: | 学術雑誌掲載論文等 |
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