Extremum Seeking Under Persistent Gradient Deception: A Switching Systems Approach
Extremum Seeking Under Persistent Gradient Deception: A Switching Systems Approach
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DOI：
10.1109/lcsys.2021.3050451
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发表时间：
2021-01
影响因子：
3
通讯作者：
F. Galarza-Jimenez;J. Poveda;G. Bianchin;E. Dall’Anese
中科院分区：
文献类型：
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作者：
F. Galarza-Jimenez;J. Poveda;G. Bianchin;E. Dall’Anese
这封信主要关注以欺骗信号形式进行对抗性攻击的极值搜索（ES）控制器。虽然反馈控制器中的持续攻击可能难以识别或缓解，但对于一类广泛的算法来说，为了保持系统的稳定性，“足够频繁”地实现缓解就足够了。在这封信中，我们首次探讨了ES控制器相对于一类持续乘法攻击的弹性特性，这些攻击旨在破坏基于优化的反馈控制器的稳定性。通过利用基于李雅普诺夫的切换系统参数和混合动力系统的奇异摄动理论，我们描述了一系列持续乘法攻击，在这些攻击下，基于梯度的ES、类牛顿ES和加速梯度ES控制器可以证明保持其稳定性。
This letter focuses on extremum seeking (ES) controllers with adversarial attacks in the form of deception signals. While a persistent attack in a feedback controller may be difficult to identify or mitigate, for a broad class of algorithms it suffices to achieve mitigation “sufficiently often” in order to preserve the stability properties of the system. In this letter, we explore for the first time the resilience properties of ES controllers with respect to a class of persistent multiplicative attacks that are purposely designed to destabilize optimization-based feedback controllers. By leveraging Lyapunov-based arguments for switching systems and singular-perturbation theory for hybrid dynamical systems, we characterize a family of persistent multiplicative attacks under which gradient-based ES, Newton-Like ES, and Accelerated gradient ES controllers provably preserve their stability properties.