论文标题
被动和相互网络：从简单模型到简单的最佳控制器
Passive and reciprocal networks: From simple models to simple optimal controllers
论文作者
论文摘要
电阻器，电感器，电容器和变压器构建的网络形成了简单模型的引人注目的子类。这些基本元素构建的模型经常用于解释大规模应用中的现象，从电力系统中的区域间振荡到优化算法的瞬时行为。此外，它们捕获了包括PID控制器在内的最常用控制器的动力学。在本文中，我们表明，这些网络中的固有结构可用于简化甚至分析求解一系列简单的最佳控制问题。我们通过设计和合成简单，可扩展性和全球最佳控制定律来说明这些结果，以解决约束的最小二乘问题，通过随机可再生能源来调节电力系统，研究一致性算法的鲁棒性特性，并分析加热网络。
Networks constructed out of resistors, inductors, capacitors and transformers form a compelling subclass of simple models. Models constructed out of these basic elements are frequently used to explain phenomena in large-scale applications, from inter-area oscillations in power systems, to the transient behaviour of optimisation algorithms. Furthermore they capture the dynamics of the most commonly applied controllers, including the PID controller. In this paper we show that the inherent structure in these networks can be used to simplify, or even solve analytically, a range of simple optimal control problems. We illustrate these results by designing and synthesising simple, scalable, and globally optimal control laws for solving constrained least squares problems, regulating electrical power systems with stochastic renewable sources, studying the robustness properties of consensus algorithms, and analysing heating networks.
