サンプル値H_∞繰返し制御系の設計法 A Design of Sampled-Data H_∞ Repetitive Control
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<SUB>∞</SUB> 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<SUB>∞</SUB> 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.
システム制御情報学会論文誌 19(11), 413-417, 2006-11-15