Observability and reachability for parallel-flow heat exchanger equations
Observability and reachability for parallel-flow heat exchanger equations
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DOI：
10.1093/imamci/dnl016
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发表时间：
2007-03
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影响因子：
--
通讯作者：
H. Sano
中科院分区：
文献类型：
--
作者：
H. Sano
本文对管出口观测/入口控制的平行流换热器方程组进行了动力学分析。平行流换热器方程在零边界条件下是超稳定的。通过变量变换，系统可以用下三角形形式的无界算子来描述。通过计算算子生成的C 0-半群，证明了如果两个流体温度都在出口处测量，则系统是可观测的;如果两个流体温度中的任何一个都在出口处测量，则系统相对于状态空间的非负锥是可观测的.此外，它示出的系统是可达的，如果两个流体温度控制在入口处，并且该系统是可达的状态空间的非负锥，如果它们中的任何一个被控制在入口处。
This paper is concerned with the dynamical analysis of parallel-flow heat exchanger equations with observation at the outlet of tube/control at the inlet of tube. The parallel-flow heat exchanger equation is super-stable under zero boundary condition. The system can be described by an unbounded operator of lower triangular form through a variable transformation. By calculating aC0-semigroup generated by the operator, it is shown that the system is observable if both fluid temperatures are measured at the outlet, and that the system is observable with respect to the non-negative cone of the state space if either of them is measured at the outlet. Moreover, it is shown that the system is reachable if both fluid temperatures are controlled at the inlet, and that the system is reachable with respect to the non-negative cone of the state space if either of them is controlled at the inlet.