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

doi:10.23919/acc.1990.4791289

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 journal › Conference article › peer-review

2 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 language	English
Pages (from-to)	3081-3082
Number of pages	2
Journal	Proceedings of the American Control Conference
DOIs	https://doi.org/10.23919/acc.1990.4791289
Publication status	Published - 1990
Event	Proceedings of the 1990 American Control Conference - San Diego, CA, USA Duration: 1990 May 23 → 1990 May 25

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

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10.23919/acc.1990.4791289

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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.",

author = "Lin, {Chin E.} and Young, {Jieh Shian} and Yeh, {Fang Bo}",

year = "1990",

doi = "10.23919/acc.1990.4791289",

language = "English",

pages = "3081--3082",

journal = "Proceedings of the American Control Conference",

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note = "Proceedings of the 1990 American Control Conference ; Conference date: 23-05-1990 Through 25-05-1990",

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AU - Lin, Chin E.

AU - Young, Jieh Shian

AU - Yeh, Fang Bo

PY - 1990

Y1 - 1990

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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JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

T2 - Proceedings of the 1990 American Control Conference

Y2 - 23 May 1990 through 25 May 1990

ER -

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

Abstract

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