An algorithm on constructing the diagonalizing matrix pair for H∞-optimal control problem of the second kind

Chin-E. Lin, Jieh Shian Young, Fang Bo Yeh

研究成果: Conference article

3 引文 (Scopus)

摘要

An algorithm is presented to obtain the diagonalizing matrix pair for the H∞-optimal control problem of the second kind. This matrix pair can be calculated in time domain or in frequency domain approaches. The algorithm is recursive, since the original problems can be diagonalized layer by layer. This matrix pair is similar to the unitary matrix pair in singular-value decomposition with free parameter. They reflect some properties from given matrices such as the optimal norm for the diagonalizing matrix pair. This method can be applied to solve the superoptimal H∞ control problem.

原文English
頁（從 - 到）3081-3082
頁數2
期刊Proceedings of the American Control Conference
出版狀態Published - 1990 十二月 1
事件Proceedings of the 1990 American Control Conference - San Diego, CA, USA
持續時間: 1990 五月 23 → 1990 五月 25

指紋

Singular value decomposition

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

引用此文

Lin, Chin-E. ; Young, Jieh Shian ; Yeh, Fang Bo. / An algorithm on constructing the diagonalizing matrix pair for H∞-optimal control problem of the second kind. 於: Proceedings of the American Control Conference. 1990 ; 頁 3081-3082.
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Lin, C-E, Young, JS & Yeh, FB 1990, 'An algorithm on constructing the diagonalizing matrix pair for H∞-optimal control problem of the second kind', Proceedings of the American Control Conference, 頁 3081-3082.

An algorithm on constructing the diagonalizing matrix pair for H∞-optimal control problem of the second kind. / Lin, Chin-E.; Young, Jieh Shian; Yeh, Fang Bo.

於: Proceedings of the American Control Conference, 01.12.1990, p. 3081-3082.

研究成果: Conference article

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AU - Young, Jieh Shian

AU - Yeh, Fang Bo

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N2 - An algorithm is presented to obtain the diagonalizing matrix pair for the H∞-optimal control problem of the second kind. This matrix pair can be calculated in time domain or in frequency domain approaches. The algorithm is recursive, since the original problems can be diagonalized layer by layer. This matrix pair is similar to the unitary matrix pair in singular-value decomposition with free parameter. They reflect some properties from given matrices such as the optimal norm for the diagonalizing matrix pair. This method can be applied to solve the superoptimal H∞ control problem.

AB - An algorithm is presented to obtain the diagonalizing matrix pair for the H∞-optimal control problem of the second kind. This matrix pair can be calculated in time domain or in frequency domain approaches. The algorithm is recursive, since the original problems can be diagonalized layer by layer. This matrix pair is similar to the unitary matrix pair in singular-value decomposition with free parameter. They reflect some properties from given matrices such as the optimal norm for the diagonalizing matrix pair. This method can be applied to solve the superoptimal H∞ control problem.

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Lin C-E, Young JS, Yeh FB. An algorithm on constructing the diagonalizing matrix pair for H∞-optimal control problem of the second kind. Proceedings of the American Control Conference. 1990 12月 1;3081-3082.

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