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arXiv · 2311.03666

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

Nishanth Venkatesh·Aditya Dave·Ioannis Faros·Andreas A. Malikopoulos
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Abstract

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.

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BibTeXRIS

Nishanth Venkatesh, Aditya Dave, Ioannis Faros, Andreas A. Malikopoulos. 2023-11-07. Stochastic Control with Distributionally Robust Constraints for Cyber-Physical Systems Vulnerable to Attacks. https://doi.org/10.1016/j.ejcon.2024.101044

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