Vibrational control of position-input and force-input mechanical systems

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

Automatica Pub Date : 2025-06-20 DOI:10.1016/j.automatica.2025.112450

Sevak Tahmasian

引用次数: 0

Abstract

This paper discusses vibrational control of a class of underactuated mechanical systems. Two cases of position-input and force-input systems are considered. The vibrational equilibrium set and vibrationally stabilizable set of the position-input and force-input systems are defined, determined, and compared. Analyses show that for this class of mechanical systems, though the position- and force-input systems have identical vibrational equilibrium sets, the vibrationally stabilizable set of the position-input system is a subset of the vibrationally stabilizable set of the force-input system. The dynamic and stability analyses are based on averaging techniques and the concept of averaged potential. As an example, vibrational control of the position- and force-input inclined Kapitza pendulum, a two-degree-of-freedom pendulum with its pivot moving along a fixed direction in a vertical plane, is presented.

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位置输入和力输入机械系统的振动控制

讨论了一类欠驱动机械系统的振动控制问题。考虑了位置输入和力输入两种情况。定义、确定了位置输入系统和力输入系统的振动平衡集和振动稳定集，并对其进行了比较。分析表明，对于这类机械系统，虽然位置输入系统和力输入系统具有相同的振动平衡集，但位置输入系统的振动稳定集是力输入系统的振动稳定集的一个子集。动力和稳定性分析是基于平均技术和平均势的概念。作为一个例子，给出了位置和力输入倾斜卡皮扎摆的振动控制。卡皮扎摆是一种二自由度摆，其枢轴在垂直平面上沿固定方向运动。

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.