连续周期系统的H/sub /spl infin//范数计算

Jun Zhou, T. Hagiwara
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引用次数: 0

摘要

讨论了一类有限维线性连续时间周期(FDLCP)系统的H/sub /spl infin//范数的计算。通过对FDLCP系统的频响算子进行阶梯截断,建立了渐近LTI连续时间模型,在此基础上估计了H/sub /spl infin//模,从而恢复了FDLCP环境下的哈密顿检验。从渐近哈密顿检验出发,提出了H/sub /spl中//范数估计的一种改进的等分算法。本文还考虑了通过近似建模来实现该算法,该算法在大多数实际FDLCP系统中都可以在数值上实现。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
H/sub /spl infin// norm computation of continuous-time periodic systems
The computation of the H/sub /spl infin// norms of a class of finite-dimensional linear continuous-time periodic (FDLCP) systems is discussed. By a staircase truncation on the frequency response operators of FDLCP systems, asymptotic LTI continuous-time models are established, based on which the H/sub /spl infin// norms can be estimated in the asymptotic sense, and thus the Hamiltonian test is recovered in the FDLCP setting. From this asymptotic Hamiltonian test, a modified bisection algorithm is developed for the H/sub /spl infin// norm estimation. It is also considered to implement the algorithm via approximate modeling, which is numerically implementable in most practical FDLCP systems.
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