有限时间鲁棒控制屏障函数的弹性保证及其在逆变器网络中的应用

Kamil Hassan;Daniel Selvaratnam;Henrik Sandberg
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引用次数: 0

摘要

在本研究中,提供了弹性的控制理论描述,以量化弹性系统的特性。目的是建立一种基于有形控制目标的弹性控制设计范例,为安全关键系统产生理想的属性。在这方面,耐久性和可恢复性特性被确定为拟议弹性框架的关键组成部分,为了提供一种强制执行这些属性的方法,引入了有限时间鲁棒控制屏障函数(FR-CBF)的概念。此外,为了提供一个全面的处理问题,弹性控制设计研究了连续和采样数据系统。为此,包括连续和分段恒定零阶保持器(ZOH)控制输入的基于fr - cbf的设计条件。此外,为了提供一个具体的例子,说明所提出的框架如何用于安全关键控制应用,在本研究中,我们还研究了受对抗性注入影响的逆变器接口径向配电网络的电压调节问题。在此基础上,根据所提出的弹性框架,推导了连续和采样数据ZOH控制的充分条件,以保证配电网的有限时间恢复和安全运行。最后,如(Lindström et al. 2021)所述,通过模拟研究显示了在“最坏情况”功率注入攻击下的弹性电网性能,倡导了所提出结果的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On Resilience Guarantees by Finite-Time Robust Control Barrier Functions With Application to Power Inverter Networks
In this study, a control theoretic description of resilience is provided to quantify the characteristics of a resilient system. The aim is to establish a paradigm for resilient control design based on tangible control objectives that yield desirable attributes for safety-critical systems. In that regard, durability and recoverability properties are identified as key components of the proposed resilience framework and, to offer a methodology to enforce these attributes, the notion of finite-time robust control barrier function (FR-CBF) is introduced. Furthermore, to offer a comprehensive treatment of the problem, resilient control design is investigated for both continuous and sampled-data systems. To that end, FR-CBF-based design conditions for both continuous and piece-wise constant zero-order hold (ZOH) control inputs are included. Moreover, to provide a concrete example of how the proposed framework could be adopted for safety-critical control applications, in this study we also investigate the voltage regulation problem for inverter-interfaced radial power distribution networks subject to adversarial injections. In that regard, sufficient conditions for both the continuous and sampled-data ZOH control are derived to guarantee finite-time recovery and safe operation of the distribution grid in accordance with the proposed resilience framework. Finally, the efficacy of the proposed results is advocated using a simulation study showing resilient grid performance in the presence of the ‘worst-case’ power injection attack, as reported in (Lindström et al. 2021).
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