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制御合成arXiv:1809.00975

攻撃下のサイバーフィジカルシステムにおける最小違反制御の合成

Minimum Violation Control Synthesis on Cyber-Physical Systems under Attacks

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敵対的攻撃を受ける確率的有限状態システムに対し、線形時相論理の仕様を完全には満たせない場合に、重要度の高いタスクを優先的に満たす最小違反制御戦略を、Stackelbergゲームと非線形計画で定式化し、効率的なヒューリスティック解法を提案した。

著者: Luyao Niu, Jie Fu, Andrew Clark

分類: eess.SY, cs.RO, cs.SY

原文アブストラクト

Cyber-physical systems are conducting increasingly complex tasks, which are often modeled using formal languages such as temporal logic. The system's ability to perform the required tasks can be curtailed by malicious adversaries that mount intelligent attacks. At present, however, synthesis in the presence of such attacks has received limited research attention. In particular, the problem of synthesizing a controller when the required specifications cannot be satisfied completely due to adversarial attacks has not been studied. In this paper, we focus on the minimum violation control synthesis problem under linear temporal logic constraints of a stochastic finite state discrete-time system with the presence of an adversary. A minimum violation control strategy is one that satisfies the most important tasks defined by the user while violating the less important ones. We model the interaction between the controller and adversary using a concurrent Stackelberg game and present a nonlinear programming problem to formulate and solve for the optimal control policy. To reduce the computation effort, we develop a heuristic algorithm that solves the problem efficiently and demonstrate our proposed approach using a numerical case study.

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