用系统Metzler矩阵确定正稳定实现

2011 16th International Conference on Methods & Models in Automation & Robotics Pub Date : 2011-09-29 DOI:10.1109/MMAR.2011.6031323

T. Kaczorek

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引用次数: 7

摘要

建立了线性连续系统具有系统Metzler矩阵的正稳定实现的存在条件。提出了一种基于固有传递矩阵相似变换的求系统梅茨勒矩阵正稳定实现的方法，并通过数值算例进行了说明。结果表明，如果稳定传递矩阵的极点是实数，则经典的吉尔伯特方法可以用来寻找正的稳定实现。

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Deterimination of positive stable realizations with system Metzler matrices

Conditions for the existence of positive stable realizations with system Metzler matrices for linear continuous-time systems are established. A procedure for finding a positive stable realization with system Metzler matrix based on similarity transformation of proper transfer matrices is proposed and demonstrated on numerical examples. It is shown that if the poles of stable transfer matrix are real then the classical Gilbert method can be used to find the positive stable realization.

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来源期刊

2011 16th International Conference on Methods & Models in Automation & Robotics

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