论文标题
用于哈米尔顿港系统的固定订单H-核控制器设计
Fixed-Order H-Infinity Controller Design for Port-Hamiltonian Systems
论文作者
论文摘要
我们提出了一种新的固定阶H-侵蚀控制器设计方法，用于潜在的大规模港口 - 哈米尔顿港（pH）植物。我们的方法计算也是pH值的控制器（并因此被动），使得所得的闭环系统再次被动，从而确保仅从工厂和控制器矩阵的结构中确保闭环稳定性。这样，我们可以避免计算昂贵的特征值计算，否则这些计算是必要的。结合基于样本的目标函数，该目标函数使我们能够避免对H-依赖性规范进行多次评估（通常是固定阶H-荷兰控制器合成中的主要计算负担），这使我们的方法非常适合具有高状态空间尺寸的植物。 在我们的数值实验中，我们表明，在使用良好的H-触发性合成方法后，应用被动性的后处理步骤通常会导致H-触发性的恶化。在对此约束中，我们的方法计算自动被动的pH控制器，同时旨在最大程度地减少闭环传输函数的H-----范围。此外，我们的实验表明，对于大规模植物，我们的方法明显快于成熟的固定阶H-侵点控制器合成方法。
We present a new fixed-order H-infinity controller design method for potentially large-scale port-Hamiltonian (pH) plants. Our method computes controllers that are also pH (and thus passive) such that the resulting closed-loop systems is again passive, which ensures closed-loop stability simply from the structure of the plant and controller matrices. In this way, we can avoid computationally expensive eigenvalue computations that would otherwise be necessary. In combination with a sample-based objective function which allows us to avoid multiple evaluations of the H-infinity norm (which is typically the main computational burden in fixed-order H-infinity controller synthesis), this makes our method well-suited for plants with a high state-space dimension. In our numerical experiments, we show that applying a passivity-enforcing post-processing step after using well-established H-infinity synthesis methods often leads to a deteriorated H-infinity performance. In constrast to that, our method computes pH controllers, that are automatically passive and simultaneously aim to minimize the H-infinity norm of the closed-loop transfer function. Moreover, our experiments show that for large-scale plants, our method is significantly faster than the well-established fixed-order H-infinity controller synthesis methods.
