On Modal Decomposition and Model Uncertainty Bounds for Linear Distributed Parameter Transport Systems

Some distributed parameter system can be decomposed into a modal form for dynamic analysis and control design purposes. Once decomposed, high accuracy approximate time solutions and frequency uncertainty bounds can be computed, enabling early lumping in robust controller design. In this paper the focus is on finding realizable modal decompositions via partial fraction expansion for a vast class of infinite-dimensional dynamical systems related to the study of transport phenomena regarding the exchange of mass, energy, and momentum in process systems. A double-pipe heat exchanger in countercurrent is used for validation of the proposed approach.