论文标题
关于连续时间LPV控制解决方案的离散化
On discretization of continuous-time LPV control solutions
论文作者
论文摘要
近年来，线性参数变化（LPV）框架已变得越来越有用，可用于分析和控制时间变化系统。通常，由于CT中的直观性能塑形方法，LPV控制合成是在连续时间（CT）域中进行的。但是，CT合成方法的主要并发症是在物理硬件上连续实施CT控制解决方案。在文献中，已经为LPV系统开发了几种离散化方法。但是，这些方法中的大多数都需要通过这些随时间变化的矩阵的离散化或可能引入重大近似误差引入重大非线性操作，从而严重限制了CT LPV控制解决方案的实现能力。另外，在LTI案例中引入了$ W'U $离散方法，以保存CT控制。基于这些观察结果，本文旨在将$ W'$离散化方法扩展到LPV系统，以便简化了在物理硬件上的CT LPV控制解决方案的实施。
In recent years, the Linear Parameter-Varying (LPV) framework has become increasingly useful for analysis and control of time-varying systems. Generally, LPV control synthesis is performed in the continuous-time (CT) domain due to significantly more intuitive performance shaping methods in CT. However, the main complication of CT synthesis approaches is the successive implementation of the resulting CT control solutions on physical hardware. In the literature, several discretization methods have been developed for LPV systems. However, most of these approaches necessitate heavy nonlinear operations introduced by the discretization of these time-varying matrices or can introduce significant approximation error, thereby severely limiting implementation capabilities of CT LPV control solutions. Alternatively, the $w'$ discretization approach has been introduced in the LTI case to allow for preservation of the CT control. Based on these observations, this paper aims at extending the $w'$ discretization approach to LPV systems, such that implementation of CT LPV control solutions on physical hardware is simplified.
