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- Title
Observability and reachability for parallel-flow heat exchanger equations.
- Authors
SANO, HIDEKI
- Abstract
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 a C0-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.
- Subjects
OBSERVABILITY (Control theory); HEAT equation; HEAT exchangers; SEMIGROUPS (Algebra); TUBES
- Publication
IMA Journal of Mathematical Control & Information, 2007, Vol 24, Issue 1, p137
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnl016