分布定数系平板構造物を対象とするスマートセンサ・クラスタフィードバック制御系の安定性について

概要

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This paper considers the minimization of a total acoustic power radiated from a vibrating distributed-parameter planar structure using a cluster control with smart sensors. It is the purpose of this paper to clarify the stability of the smart sensor-based cluster feedback control system. First, an acoustic power matrix comprising the total acoustic power is discussed, showing that the matrix is partitioned into four cluster matrices. Then, it is mathematically verified that each matrix is a "non-negative matrix", and hence the eigenvector associated with the maximum eigenvalue of each cluster matrix is found to be a "positive vector". It is also shown that the entries of the vector correspond to feedback gains of a smart sensor-based cluster control system, thereby guaranteeing the unconditional stability of the control system. Finally, an experiment is conducted, demonstrating the stability of the smart sensor-based cluster feedback control system.
2000-06-25