An Input–Output Framework for Submanifold Stabilization

Jan Maximilian Montenbruck; Murat Arcak; Frank Allgöwer

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An Input–Output Framework for Submanifold Stabilization

机译：子流形稳定的输入-输出框架

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摘要

We study submanifold stabilization problems from an input-output perspective, where plant and controller are relations on their sets of input-output signals. In contrast to the classical input-output approaches, we consider signals whose integral p-fold distance to a submanifold is finite. For feedback interconnections of relations on such signals, we develop a framework to show that the distance of the output of the plant to the desired submanifold remains bounded. Within this framework, we present a small-gain theorem, a feedback theorem for conic relations, and a feedback theorem for passive relations. We connect our findings to multiplier theory and present applications to synchronization and pattern generation.

机译：我们从输入输出角度研究子流形稳定问题，其中工厂和控制器是它们输入输出信号集的关系。与经典的输入输出方法相比，我们考虑到其与子流形的积分p倍距离是有限的信号。对于这些信号之间的关系的反馈互连，我们开发了一个框架来显示植物的输出到所需子流形的距离仍然有限。在此框架内，我们提出了一个小增益定理，一个圆锥关系的反馈定理和一个被动关系的反馈定理。我们将我们的发现与乘数理论联系起来，并将其应用于同步和模式生成。

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来源
《IEEE Transactions on Automatic Control》 |2017年第10期|5170-5184|共15页
作者
Jan Maximilian Montenbruck; Murat Arcak; Frank Allgöwer;
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作者单位

Department of Electrical Engineering and Computer Sciences, University of California at Berkeley, Berkeley, CA, USA;

Department of Electrical Engineering and Computer Sciences, University of California at Berkeley, Berkeley, CA, USA;

Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany;

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原文格式 PDF
正文语种 eng
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关键词
feedback; input-output stability; synchronisation;

机译：反馈;输入输出稳定性;同步;

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1. Partial Stabilization of Input-Output Contact Systems on a Legendre Submanifold [J] . Hector Ramirez, Bernhard Maschke, Daniel Sbarbaro IEEE Transactions on Automatic Control . 2017,第3期

机译：勒让德子流形上输入输出接触系统的部分稳定
2. Disaggregating input-output tables in time: the temporal input-output framework [J] . Avelino Andre Fernandes Tomon Economic Systems Research . 2017,第3期

机译：及时分解输入输出表：时间输入输出框架
3. Input-output pseudolinearization on controlled invariant submanifolds [J] . Lawrence DA Automatica . 2005,第1期

机译：控制不变子流形上的输入输出伪线性化
4. Stabilizing submanifolds with passive input-output relations [C] . Jan Maximilian Montenbruck, Murat Arcak, Frank Allgower IEEE Conference on Decision and Control . 2015

机译：具有被动输入输出关系的稳定子流形
5. Frequency Domain System Identification of Linear Time-Invariant Single-Input Single-Output 2-Dimensional Systems and Multi-Input Multi-Output 1-Dimensional Systems by Utilizing AFD Type Algorithms [D] . Wang, Xiaoyin. 2020

机译：通过利用AFD型算法，频域系统识别线性时间不变的单输入单输出二维系统和多输入多输出1维系统
6. The health care sector in the economies of the European Union: an overview using an input–output framework [O] . Pedro Gutiérrez-Hernández, Ignacio Abásolo-Alessón 2021

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7. A Design Method for Robust Stabilizing Modied Repetitive Controllers for Multiple-Input/Multiple-Output Time-Delay Plants with Specied Input-Output Characteristic [O] . Yun Zhao, Kou Yamada, Tatsuya Sakanushi, 1970

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机译：2030年非燃料矿物的生产和消费在美国和世界经济的投入产出框架内进行分析（使用投入产出框架对主要矿物的未来需求进行一致预测的技术）

An Input–Output Framework for Submanifold Stabilization

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