| 模型不确定系统鲁棒稳定性分析的条件数方法 |
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| 引用本文： | 张延华,张吉庆.模型不确定系统鲁棒稳定性分析的条件数方法[J].兰州大学学报(自然科学版),1995,31(4):112-117. |
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| 作者姓名： | 张延华 张吉庆 |
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| 作者单位： | 兰州大学电子与信息科学系 |
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| 摘 要： | 通过引入条件数概念，讨论了线性多变量系统模型不确定时的鲁棒稳定性问题，应用矩阵扰动分析方法简化了构模逆误差矩阵界的计算，获得了一个用条件数表征的新的稳定性充分条件。根据该条件，只要控制器矩阵ｋ（ｓ），使模型（ＧＡ（Ｓ）良态，就可保证原对象至少是弱保守性的。
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| 关 键 词： | 多变量系统 模型不确定性 条件数 鲁棒稳定性 |
Robust Stability of Dynamic Systems with Modelling Uncertainties: Conditional Number Approach |
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| Zhang Yanhua,Zhang Jiqin.Robust Stability of Dynamic Systems with Modelling Uncertainties: Conditional Number Approach[J].Journal of Lanzhou University(Natural Science),1995,31(4):112-117. |
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| Authors: | Zhang Yanhua Zhang Jiqin |
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| Abstract: | Sufficient condition for the robust stability of linear multivariable systems with modelling uncertainties is developed by using the concept of conditional number. The computation of modelling inverse error matrix bounds is simplified by use of matrix perturbation analysis. These yield a new stability criterion. It is shown that for the original system, the conservativeness in estimating the robust stability can be ascertained if the model forward transfer matrix is well-conditioned. |
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| Keywords: | multivariable systems modelling uncertainty matrix norms conditiona numbers robust stability |
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