90008212

open access

Accepted Manuscript

Stability analysis of heat exchangers with delayed boundary feedback

Automatica

127

109540

Elsevier

2021-05

2023-06-01

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.

Semigroup

学術雑誌論文

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