Hybrid Energy-Aware Reward Shaping: A Unified Lightweight Physics-Guided Methodology for Policy Optimization

📅 2026-03-12
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🤖 AI Summary
This work addresses the inefficiency of deep reinforcement learning in continuous control due to high exploration costs and the computational expense and strong dynamics assumptions of model-based approaches. The authors propose Hybrid Energy-Aware Reward Shaping (H-EARS), a novel method that integrates lightweight physical priors into model-free reinforcement learning for the first time. By decomposing potential energy functions and introducing energy-aware action regularization, H-EARS achieves functional disentanglement between task objectives and energy constraints. The approach requires only linear-complexity approximations and offers theoretical guarantees inspired by Lyapunov stability, along with bounded error analysis. Experiments across multiple benchmarks and vehicle simulations demonstrate that H-EARS significantly improves convergence speed, policy stability, and energy efficiency, confirming its industrial applicability even under extreme conditions.

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📝 Abstract
Deep reinforcement learning excels in continuous control but often requires extensive exploration, while physics-based models demand complete equations and suffer cubic complexity. This study proposes Hybrid Energy-Aware Reward Shaping (H-EARS), unifying potential-based reward shaping with energy-aware action regularization. H-EARS constrains action magnitude while balancing task-specific and energy-based potentials via functional decomposition, achieving linear complexity O(n) by capturing dominant energy components without full dynamics. We establish a theoretical foundation including: (1) functional independence for separate task/energy optimization; (2) energy-based convergence acceleration; (3) convergence guarantees under function approximation; and (4) approximate potential error bounds. Lyapunov stability connections are analyzed as heuristic guides. Experiments across baselines show improved convergence, stability, and energy efficiency. Vehicle simulations validate applicability in safety-critical domains under extreme conditions. Results confirm that integrating lightweight physics priors enhances model-free RL without complete system models, enabling transfer from lab research to industrial applications.
Problem

Research questions and friction points this paper is trying to address.

deep reinforcement learning
continuous control
physics-based models
computational complexity
energy efficiency
Innovation

Methods, ideas, or system contributions that make the work stand out.

Hybrid Energy-Aware Reward Shaping
Physics-Guided Reinforcement Learning
Linear Complexity
Potential-Based Reward Shaping
Energy Efficiency
Q
Qijun Liao
School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China
J
Jue Yang
School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China
Y
Yiting Kang
School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China
Xinxin Zhao
Xinxin Zhao
Renmin University of China
Yong Zhang
Yong Zhang
BNRist/Research Institute of Information Technology, Tsinghua University
data managementdata analysissmart health
M
Mingan Zhao
Jiangsu XCMG Construction Machinery Research Institute Co., Ltd., Jiangsu 221000, China