Critic as Lyapunov function (CALF): a model-free, stability-ensuring agent

Fuente: arXiv
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Auteurs principaux: Osinenko, Pavel, Yaremenko, Grigory, Zashchitin, Roman, Bolychev, Anton, Ibrahim, Sinan, Dobriborsci, Dmitrii
Format: Preprint
Publié: 2024
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author Osinenko, Pavel
Yaremenko, Grigory
Zashchitin, Roman
Bolychev, Anton
Ibrahim, Sinan
Dobriborsci, Dmitrii
author_facet Osinenko, Pavel
Yaremenko, Grigory
Zashchitin, Roman
Bolychev, Anton
Ibrahim, Sinan
Dobriborsci, Dmitrii
contents This work presents and showcases a novel reinforcement learning agent called Critic As Lyapunov Function (CALF) which is model-free and ensures online environment, in other words, dynamical system stabilization. Online means that in each learning episode, the said environment is stabilized. This, as demonstrated in a case study with a mobile robot simulator, greatly improves the overall learning performance. The base actor-critic scheme of CALF is analogous to SARSA. The latter did not show any success in reaching the target in our studies. However, a modified version thereof, called SARSA-m here, did succeed in some learning scenarios. Still, CALF greatly outperformed the said approach. CALF was also demonstrated to improve a nominal stabilizer provided to it. In summary, the presented agent may be considered a viable approach to fusing classical control with reinforcement learning. Its concurrent approaches are mostly either offline or model-based, like, for instance, those that fuse model-predictive control into the agent.
format Preprint
id arxiv_https___arxiv_org_abs_2409_09869
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Critic as Lyapunov function (CALF): a model-free, stability-ensuring agent
Osinenko, Pavel
Yaremenko, Grigory
Zashchitin, Roman
Bolychev, Anton
Ibrahim, Sinan
Dobriborsci, Dmitrii
Robotics
Artificial Intelligence
Optimization and Control
This work presents and showcases a novel reinforcement learning agent called Critic As Lyapunov Function (CALF) which is model-free and ensures online environment, in other words, dynamical system stabilization. Online means that in each learning episode, the said environment is stabilized. This, as demonstrated in a case study with a mobile robot simulator, greatly improves the overall learning performance. The base actor-critic scheme of CALF is analogous to SARSA. The latter did not show any success in reaching the target in our studies. However, a modified version thereof, called SARSA-m here, did succeed in some learning scenarios. Still, CALF greatly outperformed the said approach. CALF was also demonstrated to improve a nominal stabilizer provided to it. In summary, the presented agent may be considered a viable approach to fusing classical control with reinforcement learning. Its concurrent approaches are mostly either offline or model-based, like, for instance, those that fuse model-predictive control into the agent.
title Critic as Lyapunov function (CALF): a model-free, stability-ensuring agent
topic Robotics
Artificial Intelligence
Optimization and Control
url https://arxiv.org/abs/2409.09869