Synthesis of Implementable Controllers for a Class of Delay Systems Based on Finite Dimensional Approximation of Delays and Gain Scheduling of Approximation Errors

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  • むだ時間の有限次元近似と近似誤差のゲインスケジューリングに基づくあるクラスのむだ時間系設計問題に対する実装可能な補償器の設計
  • ムダジカン ノ ユウゲンジゲン キンジ ト キンジ ゴサ ノ ゲインスケジューリング ニ モトヅク アル クラス ノ ムダジカンケイ セッケイ モンダイ ニ タイスル ジッソウ カノウ ナ ホショウキ ノ セッケイ

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Abstract

This paper deals with synthesis problems for a class of delay systems, where the inputs of the delays can be measured and finite dimensional approximations for the delays are given with approximation errors. For the given problems, we propose a controller synthesis method based on gain scheduling for the approximation errors. The resultant controllers consist of finite dimensional systems with the delays. This structure is advantageous, since the resultant controllers can be implemented easily. In proposing the synthesis method, we show the following results: (1) There exists an equivalent problem where the output of the approximation error can be measured; (2) For the equivalent problem, there exists a controller which does not have the approximation error as scheduling parameter, even though the controller is synthesized via gain scheduled H∞ control for the approximation error.

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