F-9 Development of a Thermal Network Model System Parameter Identification Theory for Original Higher Order State Equation by using Observations of Lower Order Equation System with Higher Temporal Differentiated State Variables

Abstract

The earlier thermal network system identification theory required observed values for every node in the model, which sometimes makes it difficult to get a model with sufficient nodes for tracing actual phenomena. States inside walls, and, in the case of ventilation measurement, states of ceiling or attic spaces, are frequently unobservable. Mathematically it becomes a problem of system parameter identification when only some variables can be observed out of an original higher order state equation model. This paper offers a solution by introducing a higher differentiation of the variables, and verifies this theory with a computational experiment as a simple example.