输入设计笔记：从多线设计到数据驱动程序

IF 2.4 Q2 AUTOMATION & CONTROL SYSTEMS

IEEE Control Systems Letters Pub Date : 2024-06-18 DOI:10.1109/LCSYS.2024.3416072

László Gerencsér;György Michaletzky;József Bokor;Péter Polcz

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引用次数: 0

摘要

我们证明，一类优化输入设计问题的解只有离散谱量。如果我们固定任何可能频率的有限集合，那么由此产生的凸问题的随机版本就有一个概率为 1 的唯一（稀疏）解。我们还提出了一种数据驱动的优化输入设计方法，即通过虚拟离线估计器进行优化设计，该估计器与优化的 PE 估计器在可忽略的误差范围内重合，适用于开环和闭环系统。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Notes on Input Design: From Multi-Sine Design to Data-Driven Procedures

We show that a class of optimal input design problems have only discrete spectral measures as solutions. If we fix any finite set of possible frequencies then a randomized version of the resulting convex problem has a unique (sparse) solution with probability 1. We also propose a data-driven approach to optimal input design via virtual off-line estimators that coincide with the optimized PE estimator modulo a negligible error, both for open loop and closed loop systems.

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来源期刊

IEEE Control Systems Letters Mathematics-Control and Optimization

CiteScore

4.40

自引率

13.30%

发文量

471