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

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

車輛科技研究所

研究成果: Conference article › 同行評審

2 引文斯高帕斯（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

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

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引用此

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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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