Stability analysis of heat exchangers with delayed boundary feedback
Stability analysis of heat exchangers with delayed boundary feedback
复制标题
延迟边界反馈换热器的稳定性分析
DOI：
10.1016/j.automatica.2021.109540
复制
发表时间：
2021
期刊：
影响因子：
6.4
通讯作者：
H. Sano
中科院分区：
文献类型：
--
作者：
山田隆行;姫野哲人;Shinya Miyajima;H. Sano;深澤 正彰;Yohsuke Murase;出原浩史;Shinya Miyajima;MASAAKI FUKASAWA;Yohsuke Murase;H. Sano
本文分析了具有时滞边界反馈的热交换器的稳定性。对逆流式换热器和平行流式换热器分别用边界反馈回路中带时滞的耦合双曲方程描述。在我们之前的工作（佐野，2016）中，在通过传输方程表示时滞之后，针对每个热交换器导出了具有时滞的系统指数稳定的条件。然而，具有小时间滞后的情况被排除。本文证明了在存在任意时滞的情况下，通过计算一个复变函数的H∞范数，可以得到保证闭环稳定的反馈增益的上界。也就是说，每个闭环系统的容许反馈增益是鲁棒的任何时滞。
In this paper, we analyze the stability of heat exchangers with delayed boundary feedback. Heat exchangers of both counter-flow type and parallel-flow type are treated, where they are respectively described by a coupled hyperbolic equation with time lags in the boundary feedback loop. In our previous work (Sano, 2016), a condition for the system with time lags to be exponentially stable was derived for each heat exchanger, after the time lag was expressed by a transport equation. However, the case with small time lags was excluded. In this paper, it is shown that, under the presence of any time lag, the upper bound of the feedback gain to assure the closed-loop stability is solved by computing the H∞-norm of a complex function. That is, each closed-loop system with admissible feedback gain is robust with respect to any time lag.
DOI：
10.3792/pjaa.83.1
发表时间：
2007
期刊：
影响因子：
--
作者：
H. Sano
通讯作者：
H. Sano