Stabilization of parallel-flow heat exchangers with arbitrary delayed boundary feedback

TL;DR

This paper addresses the stabilization of parallel-flow heat exchangers with boundary control and arbitrary delays using observer and predictor-based methods, proving exponential stabilization with estimated state feedback.

Contribution

It introduces a novel application of observer and predictor-based control to stabilize heat exchangers with arbitrary boundary delays.

Findings

Exponential stabilization achieved with estimated state feedback.

Effective control method for heat exchangers with delayed boundary observation.

Extension of existing observer-predictor techniques to delayed boundary systems.

Abstract

This paper is concerned with the stabilization of parallel-flow heat exchangers equation with boundary control and arbitrarily delayed observation. The observer and predictor-based method, developed by [B.Z. Guo, K.Y. Yang, Automatica, 2009, 45(6): 1468-1475], is used to stabilize equation. The exponentially stabilization of such system by estimated state feedback control law is proved.