On H ∞ -optimal sensitivity theory for SISO feedback systems
On H ∞ -optimal sensitivity theory for SISO feedback systems
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关于SISO反馈系统的H ∞ -最优灵敏度理论
DOI：
10.1109/tac.1984.1103357
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发表时间：
1984
影响因子：
6.8
通讯作者：
G. Zames
中科院分区：
文献类型：
--
作者：
B. Francis;G. Zames
本文介绍了反馈控制器的设计，该设计器最大程度地减少了灵敏度函数的H^{\ infty} norm，并适当加权。 Zames [1]引入了反馈设计理论的方法，并由Zames和Francis [2]开发。在本文中，Sarason [3]的理论应用于确定最佳加权敏感性函数的确定和对其规范的上限。研究了在指定的频带上实现小灵敏度的问题，并阐明了非最低相位的效果。最后，引入了一种在虚轴上处理植物极和零的方法。
This paper deals with the design of feedback controllers which minimize the H^{\infty} -norm of the sensitivity function, suitably weighted. This approach to the theory of feedback design was introduced by Zames [1] and developed by Zames and Francis [2]. In this paper the theory of Sarason [3] is applied to the determination of the optimal weighted sensitivity function and an upper bound on its norm. The problem of achieving small sensitivity over a specified frequency band is studied, and the effect of nonminimum phase is elucidated. Finally, a method is introduced for handling plant poles and zeros on the imaginary axis.