Model-free Resilient Controller Design based on Incentive Feedback Stackelberg Game and Q-learning

Fuente: arXiv
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Hauptverfasser: Shen, Jiajun, Li, Fengjun, Hashemi, Morteza, Fang, Huazhen
Format: Preprint
Veröffentlicht: 2024
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author Shen, Jiajun
Li, Fengjun
Hashemi, Morteza
Fang, Huazhen
author_facet Shen, Jiajun
Li, Fengjun
Hashemi, Morteza
Fang, Huazhen
contents In the swift evolution of Cyber-Physical Systems (CPSs) within intelligent environments, especially in the industrial domain shaped by Industry 4.0, the surge in development brings forth unprecedented security challenges. This paper explores the intricate security issues of Industrial CPSs (ICPSs), with a specific focus on the unique threats presented by intelligent attackers capable of directly compromising the controller, thereby posing a direct risk to physical security. Within the framework of hierarchical control and incentive feedback Stackelberg game, we design a resilient leading controller (leader) that is adaptive to a compromised following controller (follower) such that the compromised follower acts cooperatively with the leader, aligning its strategies with the leader's objective to achieve a team-optimal solution. First, we provide sufficient conditions for the existence of an incentive Stackelberg solution when system dynamics are known. Then, we propose a Q-learning-based Approximate Dynamic Programming (ADP) approach, and corresponding algorithms for the online resolution of the incentive Stackelberg solution without requiring prior knowledge of system dynamics. Last but not least, we prove the convergence of our approach to the optimum.
format Preprint
id arxiv_https___arxiv_org_abs_2403_08948
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Model-free Resilient Controller Design based on Incentive Feedback Stackelberg Game and Q-learning
Shen, Jiajun
Li, Fengjun
Hashemi, Morteza
Fang, Huazhen
Systems and Control
Computer Science and Game Theory
In the swift evolution of Cyber-Physical Systems (CPSs) within intelligent environments, especially in the industrial domain shaped by Industry 4.0, the surge in development brings forth unprecedented security challenges. This paper explores the intricate security issues of Industrial CPSs (ICPSs), with a specific focus on the unique threats presented by intelligent attackers capable of directly compromising the controller, thereby posing a direct risk to physical security. Within the framework of hierarchical control and incentive feedback Stackelberg game, we design a resilient leading controller (leader) that is adaptive to a compromised following controller (follower) such that the compromised follower acts cooperatively with the leader, aligning its strategies with the leader's objective to achieve a team-optimal solution. First, we provide sufficient conditions for the existence of an incentive Stackelberg solution when system dynamics are known. Then, we propose a Q-learning-based Approximate Dynamic Programming (ADP) approach, and corresponding algorithms for the online resolution of the incentive Stackelberg solution without requiring prior knowledge of system dynamics. Last but not least, we prove the convergence of our approach to the optimum.
title Model-free Resilient Controller Design based on Incentive Feedback Stackelberg Game and Q-learning
topic Systems and Control
Computer Science and Game Theory
url https://arxiv.org/abs/2403.08948