Abstract This article addresses the problem of output feedback control of dissipative distributed parameter systems. The reduced order model used for controller and observer synthesis is recursively updated using a revised version of adaptive proper orthogonal decomposition (APOD), based on decomposing spatially discrete solution profiles. This approach eliminates the basis size oscillation resulting from the inaccuracy of estimation of energy in APOD when the sampling speed is too slow. The performance of this method is illustrated by applying it to regulate a diffusion-reaction process and a fluid flow system described by the Kuramoto-Sivashinsky equation.

中文翻译：

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重新审视运输反应过程非线性控制的 APOD 精度：一种空间离散方法

摘要 本文解决了耗散分布参数系统的输出反馈控制问题。用于控制器和观测器合成的降阶模型使用自适应适当正交分解 (APOD) 的修订版本递归更新，基于分解空间离散解配置文件。这种方法消除了采样速度太慢时 APOD 中能量估计不准确导致的基尺寸振荡。该方法的性能通过应用它来调节扩散反应过程和由 Kuramoto-Sivashinsky 方程描述的流体流动系统来说明。