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

Research output: Contribution to journalConference article

3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)3081-3082
Number of pages2
JournalProceedings of the American Control Conference
Publication statusPublished - 1990 Dec 1
EventProceedings of the 1990 American Control Conference - San Diego, CA, USA
Duration: 1990 May 231990 May 25

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Singular value decomposition

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

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abstract = "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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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.

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

Research output: Contribution to journalConference 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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