Time-varying Projected Dynamical Systems with Applications to Feedback Optimization of Power Systems
Time-varying Projected Dynamical Systems with Applications to Feedback Optimization of Power Systems
复制标题
时变投影动力系统及其在电力系统反馈优化中的应用
DOI：
10.1109/cdc.2018.8618660
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
F. Dörfler
中科院分区：
文献类型：
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作者：
Adrian Hauswirth;Irina Subotić;S. Bolognani;G. Hug;F. Dörfler
本文主要研究在时变非凸优化问题中出现的连续时间非光滑动态系统，如电力系统的反馈优化问题。我们将投影动力系统的概念推广到时变的，可能是非正则的区域，并推导出所谓的Krasovskii解的存在条件。关键的洞察是，对于轨迹的存在，非正式地说，时变域只能以有界的速度收缩，而它可能不连续地扩张。特别是在适当的约束条件下，通过分段可微函数划分的可行集满足这一条件。为了说明这种一般框架的必要性和实用性，我们考虑了一个简单但有洞察力的电力系统例子，并讨论了所提出的条件对反馈优化方案设计的影响。
This paper is concerned with the study of continuous-time, non-smooth dynamical systems which arise in the context of time-varying non-convex optimization problems, as for example the feedback-based optimization of power systems. We generalize the notion of projected dynamical systems to time-varying, possibly non-regular, domains and derive conditions for the existence of so-called Krasovskii solutions. The key insight is that for trajectories to exist, informally, the time-varying domain can only contract at a bounded rate whereas it may expand discontinuously. This condition is met, in particular, by feasible sets delimited via piecewise differentiable functions under appropriate constraint qualifications. To illustrate the necessity and usefulness of such a general framework, we consider a simple yet insightful power system example, and we discuss the implications of the proposed conditions for the design of feedback optimization schemes.
线性时不变系统实时稳态优化的积分二次约束框架
DOI：
10.23919/acc.2018.8431231
发表时间：
2018
期刊：
2018 Annual American Control Conference (ACC
影响因子：
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作者：
Nelson, Zachary E.;Mallada, Enrique
通讯作者：
Mallada, Enrique