Asymptotic Optimality of a Time Optimal Path Parametrization Algorithm

The time optimal path parametrization problem addresses minimizing the traversal time of a specified path by an actuation constrained agent. Recently, an efficient numerical algorithm for solving this problem has been proposed. This letter theoretically establishes convergence of the former algorith...

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Bibliographic Details
Main Authors: Spasojevic, Igor, Murali, Varun, Karaman, Sertac
Other Authors: Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
Format: Article
Language:English
Published: Institute of Electrical and Electronics Engineers (IEEE) 2020
Online Access:https://hdl.handle.net/1721.1/126543
Description
Summary:The time optimal path parametrization problem addresses minimizing the traversal time of a specified path by an actuation constrained agent. Recently, an efficient numerical algorithm for solving this problem has been proposed. This letter theoretically establishes convergence of the former algorithm to the optimum for the whole class of problems solved optimally by computationally more demanding approaches based on convex programming. Additionally, we provide a characterization of the optimum, which may be of independent interest.