Stochastic Control with Distributionally Robust Constraints for Cyber-Physical Systems Vulnerable to Attacks

Fuente: arXiv
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Autori principali: Venkatesh, Nishanth, Dave, Aditya, Faros, Ioannis, Malikopoulos, Andreas A.
Natura: Preprint
Pubblicazione: 2023
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author Venkatesh, Nishanth
Dave, Aditya
Faros, Ioannis
Malikopoulos, Andreas A.
author_facet Venkatesh, Nishanth
Dave, Aditya
Faros, Ioannis
Malikopoulos, Andreas A.
contents In this paper, we investigate the control of a cyber-physical system (CPS) while accounting for its vulnerability to external attacks. We formulate a constrained stochastic problem with a robust constraint to ensure robust operation against potential attacks. We seek to minimize the expected cost subject to a constraint limiting the worst-case expected damage an attacker can impose on the CPS. We present a dynamic programming decomposition to compute the optimal control strategy in this robust-constrained formulation and prove its recursive feasibility. We also illustrate the utility of our results by applying them to a numerical simulation.
format Preprint
id arxiv_https___arxiv_org_abs_2311_03666
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Stochastic Control with Distributionally Robust Constraints for Cyber-Physical Systems Vulnerable to Attacks
Venkatesh, Nishanth
Dave, Aditya
Faros, Ioannis
Malikopoulos, Andreas A.
Optimization and Control
Systems and Control
In this paper, we investigate the control of a cyber-physical system (CPS) while accounting for its vulnerability to external attacks. We formulate a constrained stochastic problem with a robust constraint to ensure robust operation against potential attacks. We seek to minimize the expected cost subject to a constraint limiting the worst-case expected damage an attacker can impose on the CPS. We present a dynamic programming decomposition to compute the optimal control strategy in this robust-constrained formulation and prove its recursive feasibility. We also illustrate the utility of our results by applying them to a numerical simulation.
title Stochastic Control with Distributionally Robust Constraints for Cyber-Physical Systems Vulnerable to Attacks
topic Optimization and Control
Systems and Control
url https://arxiv.org/abs/2311.03666