单输入控制系统的轨道平整度

Q3 Engineering

IFAC-PapersOnLine Pub Date : 2025-01-01 DOI:10.1016/j.ifacol.2025.09.542

Dmitry A. Fetisov

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引用次数: 0

摘要

给出了单输入控制系统轨道平坦性的一个充分必要条件。我们证明单输入控制系统S是轨道肥胖的当且仅当与S自然相关的共分布是Goursat结构。为了找到一个新的时间和一个大的输出，需要将与S自然相关的共分布转化为Goursat正态。构造这种变换的算法是众所周知的，因此我们的条件是建设性的，并提供了一种系统的方法来找到一个新的时间和一个胖的输出。给出了一个说明性实例。

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Orbital Flatness of Single-Input Control Systems

We derive a necessary and sufficient condition for orbital flatness of single-input control systems. We show that a single-input control system S is orbitally fat if and only if the codistribution naturally associated with S is the Goursat structure. To find a new time and a fat output, one needs to transform the codistribution naturally associated with S into the Goursat normal form. Algorithms for constructing such a transformation are well known, so our condition is constructive and provides a systematic way to find a new time and a fat output. An illustrative example is given.

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来源期刊

IFAC-PapersOnLine Engineering-Control and Systems Engineering

CiteScore

1.70

自引率

0.00%

发文量

1122

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