多环线性反馈系统的鲁棒性

1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes Pub Date : 1900-01-01 DOI:10.1109/CDC.1978.267885

J. Doyle

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引用次数: 141

摘要

本文提出了一种多环线性反馈系统频域分析的新方法。利用奇异值、奇异向量和矩阵谱范数的概念研究了返回差分方程的性质。许多新的多回路系统分析工具被开发出来，它们类似于用于标量奈奎斯特和波德分析的工具。这些提供了标量频域概念的泛化，如增益、带宽、稳定裕度和m圈，并提供了对系统鲁棒性的相当深入的了解。

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Robustness of multiloop linear feedback systems

This paper presents a new approach to the frequency-domain analysis of multiloop linear feed-back systems. The properties of the return difference equation are examined using the concepts of singular values, singular vectors and the spectral norm of a matrix. A number of new tools for multiloop systems are developed which are analogous to those for scalar Nyquist and Bode analysis. These provide a generalization of the scalar frequency-domain notions such as gain, bandwidth, stability margins and M-circles, and provide considerable insight into system robustness.

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来源期刊

1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes

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