Lifted time stable inversion based feedforward control for linear non-minimum phase systems

IF 4.8 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Automatica Pub Date : 2024-10-09 DOI:10.1016/j.automatica.2024.111979

Xiaoqiang Ji , Shaoqin Zhu , Yangsheng Xu , Richard W. Longman

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引用次数: 0

Abstract

The feedforward control strategy exhibits substantial capability and high-precision control for output tracking tasks. However, the feedforward control action obtained through solving the inverse problem is unstable for non-minimum phase systems. In this paper, a novel stable inversion method is presented, termed lifted time stable inversion. Compared to the existing method, the proposed method does not necessitate infinite window to accomplish the tracking tasks. A comprehensive analysis of the developed method is provided, focusing on analysis of finite time stability and input–output finite time stability, aspects that have garnered limited attention in the literature on feedforward control. Furthermore, the relationship with existing stable inversion method is illustrated by constructing a linear transformation of the initial conditions for both inversions. Simulation results substantiate the validity of the finite time bounds and demonstrate the superior tracking advantage of the proposed method relative to the existing method. The performance of the proposed method is further displayed experimentally on a piezoelectric ceramic positioning platform.

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基于提升时间稳定反演的线性非最小相位系统前馈控制

前馈控制策略在输出跟踪任务中表现出强大的能力和高精度控制。然而，对于非最小相位系统，通过求解逆问题得到的前馈控制动作并不稳定。本文提出了一种新的稳定反演方法，称为提升时间稳定反演。与现有方法相比，所提出的方法无需使用无限窗口来完成跟踪任务。本文对所开发的方法进行了全面分析，重点分析了有限时间稳定性和输入输出有限时间稳定性，这些方面在前馈控制文献中关注有限。此外，通过构建两种反演初始条件的线性变换，说明了与现有稳定反演方法的关系。仿真结果证实了有限时间界限的有效性，并证明了与现有方法相比，所提方法具有更优越的跟踪优势。在一个压电陶瓷定位平台上进一步实验展示了所提方法的性能。

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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来源期刊

Automatica 工程技术-工程：电子与电气

CiteScore

10.70

自引率

7.80%

发文量

617

审稿时长

5 months

期刊介绍： Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field. After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience. Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.