Realization of FIR Prefilter for Virtual Reference Feedback Tuning

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  • Matsui Yoshihiro
    Department of Electrical Engineering, National Institute of Technology, Tokyo College
  • Ayano Hideki
    Department of Electrical Engineering, National Institute of Technology, Tokyo College
  • Masuda Shiro
    Graduate School of System Design Engineering, Tokyo Metropolitan University
  • Nakano Kazushi
    Graduate School of Informatic and Engineering, The University of Eletro-Communcations

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  • FIRフィルタによるVRFTのためのプレフィルタの実現
  • FIR フィルタ ニ ヨル VRFT ノ タメ ノ プレフィルタ ノ ジツゲン

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Abstract

<p>In this paper, a realizing method of a prefilter to cancel the effect of input/output data of plants on controller tuning with Virtual Reference Feedback Tuning (VRFT) is proposed. VRFT tunes controllers based on model matching. The reference model of the model matching for VRFT is a desired complementary sensitivity function. The corresponding transfer function to the reference model consists of the plant and the controller to be tuned. The controller is tuned so that the squared 2-norm of the error between the impulse responses of these transfer functions is minimized. To obtain the impulse response of the latter transfer function, the impulse response of the plant is necessary. An inverse filter, which is a finite impulse response filter and is contained in the prefilter, is employed to reproduce the plant impulse response from the data. Therefore, the ideal model matching error not affected by the data can be obtained. The usefulness of the method is shown through numerical examples.</p>

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