分布入力型分布定数系の最適レギュレータの性質

概要

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In lumped parameter systems, optimal regulator problems have been well-studied and several usefull properties are well known. Do optimal regulators for distributed parameter systems (DPS) have similar properties to lumped parameter systems? In this paper, distributed input type parallel heat exchanger systems are treated as DPS. Authors formulate an optimal regulator problem for DPS at first, and derive a circle condition of DPS from an infinite dimensional Riccati type partial differential equation This condition guarantees that optimal regulators have low sensitivity and a larger stability margin. After that, a Hamilton matrix is introduced with calculus of variations and the relation between it's eigenvalues and optimal closed-loop poles is derived. Finally a numerical example of optimal poles is shown.
明治大学の論文