论反标架方法对多变量系统鲁棒性设计的改进
On the Improvement of Robustness Design for Multivariable Systems by Using RFN Method
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摘要: Macfarlane等提出的反标架方法(Reversed-Frame-Nomalizing)是适用于多变量系统鲁 棒性CAD的频域方法,这一方法是基于矩阵赋值函数的奇异值分解.本文在介绍这一方法 的基础上,着重讨论反标架方法对系统鲁棒性设计的改进,并对该方法中分频段补偿器的设计 提出了改进建议.通过数值例子说明这一方法较逆奈氏阵列法与特征轨迹法对系统鲁棒稳定 性设计具有的优越性,也说明了这一方法在PC机上的可实现性.Abstract: The RFN (Reversed-Frame-Normalizing)method developed by Hung and MacFarlane (1982) is a frequency approach of robustness CAD for multivariable systems. The foundation of this approach is the singular value decomposition of a matrix valued function. After a brief introduction to RFN, this paper focus its attention on the improvement of robustness design by using RFN. To improve the design procedure, a compensator model of divided frequency range is proposed. Numerical example shows that the RFN method is superior to the INA method in system robustness design, and the design procedure can be implemented on an IBM PC/XT.
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Key words:
- Multivariable systen /
- rbustness /
- Singular value /
- reverse frame
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