Analysis of H2 and H∞ performance of discrete periodically time-varying controllers
Analysis of H2 and H∞ performance of discrete periodically time-varying controllers
复制标题
离散周期时变控制器的H2和H∞性能分析
DOI：
10.1016/s0005-1098(96)00224-5
复制
发表时间：
1997
期刊：
影响因子：
--
通讯作者：
K. Furuta
中科院分区：
文献类型：
--
作者：
Cisheng Zhang;Jingxin Zhang;K. Furuta
本文研究了离散线性周期时变控制器对线性定常对象的H_2和H_∞性能。使用频域提升方法，分析区分周期性时变控制与时不变控制，表明系统时变动态的多个传递通道放大了系统的整体增益。这样的结果可以更深入地了解系统时变机制，并阐明时变动态如何作用并降低系统性能。定量地，本文提出的必要条件和充分条件下，可以找到一个线性时不变控制器，以提供严格优于周期性时变控制器。
This paper presents analysis of the H2and H∞performance of discrete linear periodically time-varying controllers for control of linear time-invariant plants. Using a frequency-domain lifting approach, the analysis distinguishes periodically time-varying control from time-invariant control to show that the multiple transfer channels of the system time-varying dynamics amplify the overall system gain. Such a result can provide deeper insights into the system time-varying mechanism and clarify how the time-varying dynamics acts and degrades the system performance. Quantitatively, the paper presents necessary and sufficient conditions under which a linear time-invariant controller can be found to provide strictly better control than periodically time-varying controllers.