A Design Method of Repetitive Controllers

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  • 繰り返し制御器の一構成法
  • クリカエシ セイギョキ ノ イチコウセイホウ

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Abstract

In this paper, we consider the repetitive control problem for the single-input, single-output, linear time-invariant, continuous-time plants, using the different approach from the past studies for the stabilization of the closed-loop systems.<br>In our approch, we derive the parametrization of all stabilizing controllers by solving the Bezout identity. The Bezout identity include the time-delay element in the repetitive control problem. So, generally speaking, solving it is complicated and difficult, compared with the finite-dimensional case.<br>However, we will show in this paper that it can be relatively easy to solve the Bezout identity under some condition and that the response can be improved by our approach.

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