Stability Enhancement in Reinforcement Learning via Adaptive Control Lyapunov Function

Fuente: arXiv
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Main Authors: Chen, Donghe, Wang, Han, Cheng, Lin, Gong, Shengping
Format: Preprint
Published: 2025
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author Chen, Donghe
Wang, Han
Cheng, Lin
Gong, Shengping
author_facet Chen, Donghe
Wang, Han
Cheng, Lin
Gong, Shengping
contents Reinforcement Learning (RL) has shown promise in control tasks but faces significant challenges in real-world applications, primarily due to the absence of safety guarantees during the learning process. Existing methods often struggle with ensuring safe exploration, leading to potential system failures and restricting applications primarily to simulated environments. Traditional approaches such as reward shaping and constrained policy optimization can fail to guarantee safety during initial learning stages, while model-based methods using Control Lyapunov Functions (CLFs) or Control Barrier Functions (CBFs) may hinder efficient exploration and performance. To address these limitations, this paper introduces Soft Actor-Critic with Control Lyapunov Function (SAC-CLF), a framework that enhances stability and safety through three key innovations: (1) a task-specific CLF design method for safe and optimal performance; (2) dynamic adjustment of constraints to maintain robustness under unmodeled dynamics; and (3) improved control input smoothness while ensuring safety. Experimental results on a classical nonlinear system and satellite attitude control demonstrate the effectiveness of SAC-CLF in overcoming the shortcomings of existing methods.
format Preprint
id arxiv_https___arxiv_org_abs_2504_19473
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Stability Enhancement in Reinforcement Learning via Adaptive Control Lyapunov Function
Chen, Donghe
Wang, Han
Cheng, Lin
Gong, Shengping
Machine Learning
Robotics
Reinforcement Learning (RL) has shown promise in control tasks but faces significant challenges in real-world applications, primarily due to the absence of safety guarantees during the learning process. Existing methods often struggle with ensuring safe exploration, leading to potential system failures and restricting applications primarily to simulated environments. Traditional approaches such as reward shaping and constrained policy optimization can fail to guarantee safety during initial learning stages, while model-based methods using Control Lyapunov Functions (CLFs) or Control Barrier Functions (CBFs) may hinder efficient exploration and performance. To address these limitations, this paper introduces Soft Actor-Critic with Control Lyapunov Function (SAC-CLF), a framework that enhances stability and safety through three key innovations: (1) a task-specific CLF design method for safe and optimal performance; (2) dynamic adjustment of constraints to maintain robustness under unmodeled dynamics; and (3) improved control input smoothness while ensuring safety. Experimental results on a classical nonlinear system and satellite attitude control demonstrate the effectiveness of SAC-CLF in overcoming the shortcomings of existing methods.
title Stability Enhancement in Reinforcement Learning via Adaptive Control Lyapunov Function
topic Machine Learning
Robotics
url https://arxiv.org/abs/2504.19473