Learning-Enhanced Safeguard Control for High-Relative-Degree Systems: Robust Optimization under Disturbances and Faults

Fuente: arXiv
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Main Authors: Wang, Xinyang, Zhang, Hongwei, Wang, Shimin, Xiao, Wei, Guay, Martin
Format: Preprint
Published: 2025
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author Wang, Xinyang
Zhang, Hongwei
Wang, Shimin
Xiao, Wei
Guay, Martin
author_facet Wang, Xinyang
Zhang, Hongwei
Wang, Shimin
Xiao, Wei
Guay, Martin
contents Merely pursuing performance may adversely affect the safety, while a conservative policy for safe exploration will degrade the performance. How to balance the safety and performance in learning-based control problems is an interesting yet challenging issue. This paper aims to enhance system performance with safety guarantee in solving the reinforcement learning (RL)-based optimal control problems of nonlinear systems subject to high-relative-degree state constraints and unknown time-varying disturbance/actuator faults. First, to combine control barrier functions (CBFs) with RL, a new type of CBFs, termed high-order reciprocal control barrier function (HO-RCBF) is proposed to deal with high-relative-degree constraints during the learning process. Then, the concept of gradient similarity is proposed to quantify the relationship between the gradient of safety and the gradient of performance. Finally, gradient manipulation and adaptive mechanisms are introduced in the safe RL framework to enhance the performance with a safety guarantee. Two simulation examples illustrate that the proposed safe RL framework can address high-relative-degree constraint, enhance safety robustness and improve system performance.
format Preprint
id arxiv_https___arxiv_org_abs_2501_15373
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Learning-Enhanced Safeguard Control for High-Relative-Degree Systems: Robust Optimization under Disturbances and Faults
Wang, Xinyang
Zhang, Hongwei
Wang, Shimin
Xiao, Wei
Guay, Martin
Systems and Control
Artificial Intelligence
Machine Learning
Optimization and Control
Adaptation and Self-Organizing Systems
Merely pursuing performance may adversely affect the safety, while a conservative policy for safe exploration will degrade the performance. How to balance the safety and performance in learning-based control problems is an interesting yet challenging issue. This paper aims to enhance system performance with safety guarantee in solving the reinforcement learning (RL)-based optimal control problems of nonlinear systems subject to high-relative-degree state constraints and unknown time-varying disturbance/actuator faults. First, to combine control barrier functions (CBFs) with RL, a new type of CBFs, termed high-order reciprocal control barrier function (HO-RCBF) is proposed to deal with high-relative-degree constraints during the learning process. Then, the concept of gradient similarity is proposed to quantify the relationship between the gradient of safety and the gradient of performance. Finally, gradient manipulation and adaptive mechanisms are introduced in the safe RL framework to enhance the performance with a safety guarantee. Two simulation examples illustrate that the proposed safe RL framework can address high-relative-degree constraint, enhance safety robustness and improve system performance.
title Learning-Enhanced Safeguard Control for High-Relative-Degree Systems: Robust Optimization under Disturbances and Faults
topic Systems and Control
Artificial Intelligence
Machine Learning
Optimization and Control
Adaptation and Self-Organizing Systems
url https://arxiv.org/abs/2501.15373