境界入力を持つ放物型分布定数系の有限次元適応制御

概要

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In this decade, research on Model Reference Adaptive Control revealed great advances for lumped parameter systems. However, few reports are found in the studies on adaptive control for distributed parameter systems. In this paper, we present a design method for finite-dimensional adaptive boundary controllers of distributed parameter systems of parabolic type. The finite-dimensional adaptive boundary controllers are considered by replacing the boundary control by distributed controls that have the same effects on the systems using the variational form and eigenfunctions of the systems. We construct the model reference adaptive control systems for the distributed parameter systems under the condition that relative degree is equal to unity. Effectiveness of this method is shown by some numerical examples.
東海大学の論文