Randomized Model Predictive Navigation

Author(s)Tanner, Herbert
Author(s)Piovesan, Jorge
Date Accessioned2010-03-10T03:15:59Z
Date Available2010-03-10T03:15:59Z
Publication Date2010-02
AbstractA new methodology for implementing nonlinear receding horizon optimization is presented, with direct application to robot navigation in cluttered environments. The methodology combines elements from statistical learning theory with nonlinear receding horizon schemes that use control Lyapunov functions as terminal costs, while relaxing the conditions on the time derivatives of the latter, based on a new result for stability of nonlinear systems with switching dynamics. As the theoretical analysis indicates, and numerical results verify, the proposed receding horizon scheme can utilize terminal costs that are not control Lyapunov functions. The resulting strategy is shown to outperform traditional potential field-based techniques, even when additional optimization objectives are imposed, and allows for trade-offs between performance and computational complexity.en
SponsorThis work is supported by ARL through BAE Systems as part of MAST CTA #W911NF-08-2-0004.en
URLhttp://udspace.udel.edu/handle/19716/4952
PublisherDepartment of Mechanical Engineering, University of Delawareen
Part of SeriesUDME Technical Report;UDME TR-2010-0001
KeywordsRobot navigationen
KeywordsLyapunov functionsen
TitleRandomized Model Predictive Navigationen
TypeTechnical Reporten
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