Abstract
Through the heat exchanger example of.Koppel et at. (1968) u rapid sub-optimal control algorithm is developed for optimal regulator problems in linear distributed parameter systems. The Galerkin approximation is first applied to obtain a lumped ODE model for the distributed parameter system. Then, a sub-optimal open-loop control for the resulting linear ODE optimal regulator problem is obtained through the Ritz-Trefftz algorithm of Bosarge and Johnson (1970). One-dimensional polynomial basis functions (modes) are employed to approximate both time and spatial behaviour throughout. To facilitate mode selection, emphasis is placed upon sequential ono-dimensional approximations rather than upon a single multidimensional approximation. Applications of the resulting algorithm are characterized by low storage and on-line computational requirements. Numerical results for the heat exchanger example are presented and compared with those currently available in the literature. Performance of the algorithm with a small number of polynomial modes is assessed and experimental user-oriented guidelines are provided.
Published Version
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