Computation of Feedback Control Laws Based on Switched Tracking of Demonstrations

Fuente: arXiv
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Autori principali: Fejlek, Jiří, Ratschan, Stefan
Natura: Preprint
Pubblicazione: 2020
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author Fejlek, Jiří
Ratschan, Stefan
author_facet Fejlek, Jiří
Ratschan, Stefan
contents A common approach in robotics is to learn tasks by generalizing from special cases given by a so-called demonstrator. In this paper, we apply this paradigm and present an algorithm that uses a demonstrator (typically given by a trajectory optimizer) to automatically synthesize feedback controllers for steering a system described by ordinary differential equations into a goal set. The resulting feedback control law switches between the demonstrations that it uses as reference trajectories. In comparison to the direct use of trajectory optimization as a control law, for example, in the form of model predictive control, this allows for a much simpler and more efficient implementation of the controller. The synthesis algorithm comes with rigorous convergence and optimality results, and computational experiments confirm its efficiency.
format Preprint
id arxiv_https___arxiv_org_abs_2011_12639
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Computation of Feedback Control Laws Based on Switched Tracking of Demonstrations
Fejlek, Jiří
Ratschan, Stefan
Systems and Control
A common approach in robotics is to learn tasks by generalizing from special cases given by a so-called demonstrator. In this paper, we apply this paradigm and present an algorithm that uses a demonstrator (typically given by a trajectory optimizer) to automatically synthesize feedback controllers for steering a system described by ordinary differential equations into a goal set. The resulting feedback control law switches between the demonstrations that it uses as reference trajectories. In comparison to the direct use of trajectory optimization as a control law, for example, in the form of model predictive control, this allows for a much simpler and more efficient implementation of the controller. The synthesis algorithm comes with rigorous convergence and optimality results, and computational experiments confirm its efficiency.
title Computation of Feedback Control Laws Based on Switched Tracking of Demonstrations
topic Systems and Control
url https://arxiv.org/abs/2011.12639