Oscillations in Systems with Relay Feedback
Oscillations in Systems with Relay Feedback
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具有继电器反馈的系统中的振荡
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
K. Åström
中科院分区：
文献类型：
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作者：
K. Åström
继电反馈线性系统的分析是一个经典的领域。继电器反馈的早期工作是由使用继电器作为放大器的动机。这些应用变得不那么有趣，因为电子技术的发展使继电器放大器过时了。在经典书籍[12]中可以找到关于继电器反馈的讨论。[27][10][11][22][23][24][25][7][16][18][19]给出了具有继电反馈的系统的分析。许多继电器反馈的分析都是使用描述函数完成的，参见[5]和[8]。关于描述函数近似的有效性的一个有趣的讨论在20中找到。在Hamel和Tsypkin的论文中给出了继电反馈下极限环振荡的精确条件。Tsypkin的工作是特别有趣的，因为它的密切关系的近似方法。在[26]中发现了广泛的治疗，这是一本1974年首次以俄语出版的书的英文翻译。
Analysis of linear systems with relay feedback is a classical field. The early work on relay feedback was motivated by using relays as amplifiers. These applications became less interesting, because the development of electronic technology made relay amplifiers obsolete. A discussion of relay feedback is found in the classical book [12]. Analysis of systems with relay feedback were given by [27],[10],[11],[22],[23],[24],[25],[7],[16],[18],[19]. Much of the analysis of relay feedback has been done using the describing function, see [5] and [8]. An interesting discussion of the validity of the describing function approximation is found in 20. Exact conditions for limit cycle oscillations under relay feedback were developed in the papers by Hamel and Tsypkin. Tsypkin’s work is particularly interesting because of its close relation with the approximate methods. An extensive treatment is found in [26], which is an English translation of a book that was first published in Russian in 1974.