Explicit formula for general H∞ control

Chin Shiong Tsai; Mi-Ching Tsai; York Yih Sun

Explicit formula for general H^∞ control

Chin Shiong Tsai, Mi-Ching Tsai, York Yih Sun

Department of Mechanical Engineering

Research output: Contribution to conference › Paper › peer-review

Abstract

This paper extends the result of [16] to a general H^∞ control problem which only requires the stabilizing assumption on the generalized plant. By introducing coprime factors of the plant, the necessary and sufficient conditions for the existence of a sub-optimal solution are derived completely in the transfer function domain. The solution is obtained via finding a J-contractive and a J-expansive numerator, respectively, of two associated factorizations; this is equivalent to the existence of positive definite solutions of two corresponding Riccati inequalities in the state-space. The aim of the present paper provides a linkage between J-contractive factorizations and linear matrix inequalities, and an explicit state-space formula for constructing H^∞ controllers.

Original language	English
Pages	1376-1381
Number of pages	6
Publication status	Published - 1996 Dec 1
Event	Proceedings of the 1996 IEEE 22nd International Conference on Industrial Electronics, Control, and Instrumentation, IECON. Part 3 (of 3) - Taipei, Taiwan Duration: 1996 Aug 5 → 1996 Aug 10

Other

Other	Proceedings of the 1996 IEEE 22nd International Conference on Industrial Electronics, Control, and Instrumentation, IECON. Part 3 (of 3)
City	Taipei, Taiwan
Period	96-08-05 → 96-08-10

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Electrical and Electronic Engineering

Cite this

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abstract = "This paper extends the result of [16] to a general H∞ control problem which only requires the stabilizing assumption on the generalized plant. By introducing coprime factors of the plant, the necessary and sufficient conditions for the existence of a sub-optimal solution are derived completely in the transfer function domain. The solution is obtained via finding a J-contractive and a J-expansive numerator, respectively, of two associated factorizations; this is equivalent to the existence of positive definite solutions of two corresponding Riccati inequalities in the state-space. The aim of the present paper provides a linkage between J-contractive factorizations and linear matrix inequalities, and an explicit state-space formula for constructing H∞ controllers.",

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year = "1996",

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AU - Tsai, Chin Shiong

AU - Tsai, Mi-Ching

AU - Sun, York Yih

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N2 - This paper extends the result of [16] to a general H∞ control problem which only requires the stabilizing assumption on the generalized plant. By introducing coprime factors of the plant, the necessary and sufficient conditions for the existence of a sub-optimal solution are derived completely in the transfer function domain. The solution is obtained via finding a J-contractive and a J-expansive numerator, respectively, of two associated factorizations; this is equivalent to the existence of positive definite solutions of two corresponding Riccati inequalities in the state-space. The aim of the present paper provides a linkage between J-contractive factorizations and linear matrix inequalities, and an explicit state-space formula for constructing H∞ controllers.

AB - This paper extends the result of [16] to a general H∞ control problem which only requires the stabilizing assumption on the generalized plant. By introducing coprime factors of the plant, the necessary and sufficient conditions for the existence of a sub-optimal solution are derived completely in the transfer function domain. The solution is obtained via finding a J-contractive and a J-expansive numerator, respectively, of two associated factorizations; this is equivalent to the existence of positive definite solutions of two corresponding Riccati inequalities in the state-space. The aim of the present paper provides a linkage between J-contractive factorizations and linear matrix inequalities, and an explicit state-space formula for constructing H∞ controllers.

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T2 - Proceedings of the 1996 IEEE 22nd International Conference on Industrial Electronics, Control, and Instrumentation, IECON. Part 3 (of 3)

Y2 - 5 August 1996 through 10 August 1996

ER -

Explicit formula for general H^∞ control

Abstract

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All Science Journal Classification (ASJC) codes

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