Optimal Control of Sweeping Processes in Robotics and Traffic Flow Models

Giovanni Colombo (), Boris Mordukhovich () and Dao Nguyen ()
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Giovanni Colombo: Università di Padova
Boris Mordukhovich: Wayne State University
Dao Nguyen: Wayne State University

Journal of Optimization Theory and Applications, 2019, vol. 182, issue 2, No 1, 439-472

Abstract: Abstract The paper is mostly devoted to applications of a novel optimal control theory for perturbed sweeping/Moreau processes to two practical dynamical models. The first model addresses mobile robot dynamics with obstacles, and the second one concerns control and optimization of traffic flows. Describing these models as controlled sweeping processes with pointwise/hard control and state constraints and applying new necessary optimality conditions for such systems allow us to develop efficient procedures to solve naturally formulated optimal control problems for the models under consideration and completely calculate optimal solutions in particular situations.

Keywords: Optimal control; Sweeping process; Variational analysis; Discrete approximations; Necessary optimality conditions; Robotics; Traffic flows; 49K24; 49J53; 49M25; 70B15; 90B10 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-019-01521-y

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