TSVDを用いた並流型熱交換プロセスの初期値推定について

抄録

In this note, we treat the problem of estimating the initial value of a parallel-flow two-fluid heat exchange process with boundary outputs. We first state the observability results for the heat exchange process and discuss on the eigenvalues of the observability gramian, where the properties of self-adjoint compact operators play an important role. Next, we consider a finite-difference model for the process and show an estimation method of initial value of the approximated model using the Truncated Singular Value Decomposition (TSVD). We also give numerical simulation results.