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arXiv 2204.00512eess.SYcs.SY
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耦合动态系统安全临界弹性控制的合成方法

A Compositional Approach to Safety-Critical Resilient Control for Systems with Coupled Dynamics

Abdullah Al Maruf, Luyao Niu, Andrew Clark, J. Sukarno Mertoguno, Radha Poovendran

摘要:

复杂、互联的信息物理系统(CPS)在包括智能电网和交通在内的应用中越来越常见。确保动态耦合的互连系统的安全性是具有挑战性的,因为一个子系统中的故障和攻击的影响可以传播到其他子系统并导致安全违规。本文研究了具有耦合动力学的CPS系统在部分子系统遭受故障或攻击时的安全临界控制问题。首先,我们提出了故障或受损的子系统的约束的最坏情况下的影响,一组指定的安全约束的故障或受损的子系统的顺应性安全指数(RSIs)。通过将RSIs,我们提供了一个充分条件,在每个故障和攻击的子系统的控制策略的合成。综合控制策略补偿故障或受损子系统的影响,以保证安全。我们制定了平方和优化程序来计算RSIs和安全保证控制策略。我们提出了一个案例研究,应用我们提出的方法对三个耦合房间的温度调节。算例表明,利用该算法得到的控制策略能够保证系统的安全约束。

英文摘要:

Complex, interconnected Cyber-physical Systems (CPS) are increasingly common in applications including smart grids and transportation. Ensuring safety of interconnected systems whose dynamics are coupled is challenging because the effects of faults and attacks in one sub-system can propagate to other sub-systems and lead to safety violations. In this paper, we study the problem of safety-critical control for CPS with coupled dynamics when some sub-systems are subject to failure or attack. We first propose resilient-safety indices (RSIs) for the faulty or compromised sub-systems that bound the worst-case impacts of faulty or compromised sub-systems on a set of specified safety constraints. By incorporating the RSIs, we provide a sufficient condition for the synthesis of control policies in each failure- and attack- free sub-systems. The synthesized control policies compensate for the impacts of the faulty or compromised sub-systems to guarantee safety. We formulate sum-of-square optimization programs to compute the RSIs and the safety-ensuring control policies. We present a case study that applies our proposed approach on the temperature regulation of three coupled rooms. The case study demonstrates that control policies obtained using our algorithm guarantee system's safety constraints.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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