Adaptive Control of an Inverted Pendulum by a Reinforcement Learningbased LQR Method

Inverted pendulums constitute one of the popular systems for benchmarking control algorithms. Several methods have been proposed for the control of this system, the majority of which rely on the availability of a mathematical model. However, deriving a mathematical model using physical parameters or...

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Main Author: Uğur Yıldıran
Format: Article
Language:English
Published: Sakarya University 2023-12-01
Series:Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
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Online Access:https://dergipark.org.tr/tr/download/article-file/3097405
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author Uğur Yıldıran
author_facet Uğur Yıldıran
author_sort Uğur Yıldıran
collection DOAJ
description Inverted pendulums constitute one of the popular systems for benchmarking control algorithms. Several methods have been proposed for the control of this system, the majority of which rely on the availability of a mathematical model. However, deriving a mathematical model using physical parameters or system identification techniques requires manual effort. Moreover, the designed controllers may perform poorly if system parameters change. To mitigate these problems, recently, some studies used Reinforcement Learning (RL) based approaches for the control of inverted pendulum systems. Unfortunately, these methods suffer from slow convergence and local minimum problems. Moreover, they may require hyperparameter tuning which complicates the design process significantly. To alleviate these problems, the present study proposes an LQR-based RL method for adaptive balancing control of an inverted pendulum. As shown by numerical experiments, the algorithm stabilizes the system very fast without requiring a mathematical model or extensive hyperparameter tuning. In addition, it can adapt to parametric changes online.
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publishDate 2023-12-01
publisher Sakarya University
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series Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
spelling doaj-art-636a9b43b0a74d63b6828d6b0e3419d02025-08-20T02:40:25ZengSakarya UniversitySakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi2147-835X2023-12-012761311132110.16984/saufenbilder.128639128Adaptive Control of an Inverted Pendulum by a Reinforcement Learningbased LQR MethodUğur Yıldıran0https://orcid.org/0000-0002-8220-8723YILDIZ TEKNİK ÜNİVERSİTESİInverted pendulums constitute one of the popular systems for benchmarking control algorithms. Several methods have been proposed for the control of this system, the majority of which rely on the availability of a mathematical model. However, deriving a mathematical model using physical parameters or system identification techniques requires manual effort. Moreover, the designed controllers may perform poorly if system parameters change. To mitigate these problems, recently, some studies used Reinforcement Learning (RL) based approaches for the control of inverted pendulum systems. Unfortunately, these methods suffer from slow convergence and local minimum problems. Moreover, they may require hyperparameter tuning which complicates the design process significantly. To alleviate these problems, the present study proposes an LQR-based RL method for adaptive balancing control of an inverted pendulum. As shown by numerical experiments, the algorithm stabilizes the system very fast without requiring a mathematical model or extensive hyperparameter tuning. In addition, it can adapt to parametric changes online.https://dergipark.org.tr/tr/download/article-file/3097405reinforcement learninglqrinverted pendulumq-learningadaptive control
spellingShingle Uğur Yıldıran
Adaptive Control of an Inverted Pendulum by a Reinforcement Learningbased LQR Method
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
reinforcement learning
lqr
inverted pendulum
q-learning
adaptive control
title Adaptive Control of an Inverted Pendulum by a Reinforcement Learningbased LQR Method
title_full Adaptive Control of an Inverted Pendulum by a Reinforcement Learningbased LQR Method
title_fullStr Adaptive Control of an Inverted Pendulum by a Reinforcement Learningbased LQR Method
title_full_unstemmed Adaptive Control of an Inverted Pendulum by a Reinforcement Learningbased LQR Method
title_short Adaptive Control of an Inverted Pendulum by a Reinforcement Learningbased LQR Method
title_sort adaptive control of an inverted pendulum by a reinforcement learningbased lqr method
topic reinforcement learning
lqr
inverted pendulum
q-learning
adaptive control
url https://dergipark.org.tr/tr/download/article-file/3097405
work_keys_str_mv AT uguryıldıran adaptivecontrolofaninvertedpendulumbyareinforcementlearningbasedlqrmethod