Model reference adaptive control system design for linear time-varying systems with unstructured and bounded varying functions

Kouichi Hidaka, Hiromitsu Ohmori, Akira Sano

研究成果: Article査読

抄録

In recent years, many methods of model reference adaptive control system (MRACS) for a linear time-varying (LTV) plant have been proposed. These methods assumed that the structure of plant parameters is known in advance. However, it is difficult to get a priori information of plant parameters. In this paper, an MRACS design for an LTV system based on high-order estimator (HOE) is proposed. By applying dynamic certainty equivalence (DyCE) to LTV plants, a new MRAC law of LTV system is derived without knowing the structure of the plant parameters. The MRACS law is generated by using high-order derivatives of an estimated parameter, so that robust HOE with a normalization signal and σ modification for the system introduced. Our proposed method can attain better performance than conventional methods, such as estimation with variable forgetting factor (VF) and the gradient projection method (GPM). The robust HOE establishes the boundedness of all of the estimated parameters under the condition that the estimated parameter and the first derivative of the parameter are bounded. It is shown that all signals in the adaptive loop are bounded and the output error converges to a closed set. The proposed method is compared to the familiar schemes, the gradient projection method and the estimation based on forgetting factor through numerical simulations, and the effectiveness of our proposed method is shown.

本文言語English
ページ(範囲)87-98
ページ数12
ジャーナルElectrical Engineering in Japan (English translation of Denki Gakkai Ronbunshi)
130
4
DOI
出版ステータスPublished - 2000 3

ASJC Scopus subject areas

  • エネルギー工学および電力技術
  • 電子工学および電気工学

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