A Design of Sampled-Data H.INF. Repetitive Control

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  • サンプル値H∞繰返し制御系の設計法
  • サンプルチ H クリカエシ セイギョケイ ノ セッケイホウ

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Abstract

A design procedure is proposed for digital repetitive controllers satisfying (i) asymptotic rejection of a class of periodic disturbances and (ii) a sampled-data H norm specification. The synthesis problem is formulated by extending the step disturbance rejection problem. A necessary condition for the periodic disturbance so that the synthesis problem has a solution is derived. The synthesis problem is finally reduced to a sampled-data H control problem with a design parameter which can be used for adjusting the performance of the periodic disturbance rejection. The effectiveness of the proposed method is confirmed by a numerical example.

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