An algorithm for super-optimal H∞ design: The two-block case

D. W. Gu; M. C. Tsai; I. Postlethwaite

doi:10.1016/0005-1098(89)90074-5

An algorithm for super-optimal H^∞ design: The two-block case

D. W. Gu
, M. C. Tsai
, I. Postlethwaite

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

In this paper, we consider the strengthened H^∞ optimization problem in the two-block case. An algorithm for the super-optimal solution is proposed. It is based on results by the authors (IEEE Trans. Aut. Control, AC-33, 833 (1988)) for the less practical one-block case. It uses state-space models and is numerically implementable. A feature of the procedure is an optimality criterion which is a natural generalization of that used in the iterative scheme of Doyle (Lecture Notes in Advances in Multivariable Control, ONR/Honeywell Workshop, Minneapolis, U.S.A. (1984)) for the unstrengthened problem.

Original language	English
Pages (from-to)	215-221
Number of pages	7
Journal	Automatica
Volume	25
Issue number	2
DOIs	https://doi.org/10.1016/0005-1098(89)90074-5
Publication status	Published - 1989 Mar

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Electrical and Electronic Engineering

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10.1016/0005-1098(89)90074-5

Cite this

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title = "An algorithm for super-optimal H∞ design: The two-block case",

abstract = "In this paper, we consider the strengthened H∞ optimization problem in the two-block case. An algorithm for the super-optimal solution is proposed. It is based on results by the authors (IEEE Trans. Aut. Control, AC-33, 833 (1988)) for the less practical one-block case. It uses state-space models and is numerically implementable. A feature of the procedure is an optimality criterion which is a natural generalization of that used in the iterative scheme of Doyle (Lecture Notes in Advances in Multivariable Control, ONR/Honeywell Workshop, Minneapolis, U.S.A. (1984)) for the unstrengthened problem.",

author = "Gu, \{D. W.\} and Tsai, \{M. C.\} and I. Postlethwaite",

note = "Funding Information: Acknowledgement--The authors are grateful to the U.K. Science and Engineering Research Council for financial support. D.-W. Gu is also grateful to The National Natural Science Foundation of China (Grant No. 6874033). The final version of this paper was completed while I. Postlethwaite",

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T1 - An algorithm for super-optimal H∞ design

T2 - The two-block case

AU - Gu, D. W.

AU - Tsai, M. C.

AU - Postlethwaite, I.

N1 - Funding Information: Acknowledgement--The authors are grateful to the U.K. Science and Engineering Research Council for financial support. D.-W. Gu is also grateful to The National Natural Science Foundation of China (Grant No. 6874033). The final version of this paper was completed while I. Postlethwaite

PY - 1989/3

Y1 - 1989/3

N2 - In this paper, we consider the strengthened H∞ optimization problem in the two-block case. An algorithm for the super-optimal solution is proposed. It is based on results by the authors (IEEE Trans. Aut. Control, AC-33, 833 (1988)) for the less practical one-block case. It uses state-space models and is numerically implementable. A feature of the procedure is an optimality criterion which is a natural generalization of that used in the iterative scheme of Doyle (Lecture Notes in Advances in Multivariable Control, ONR/Honeywell Workshop, Minneapolis, U.S.A. (1984)) for the unstrengthened problem.

AB - In this paper, we consider the strengthened H∞ optimization problem in the two-block case. An algorithm for the super-optimal solution is proposed. It is based on results by the authors (IEEE Trans. Aut. Control, AC-33, 833 (1988)) for the less practical one-block case. It uses state-space models and is numerically implementable. A feature of the procedure is an optimality criterion which is a natural generalization of that used in the iterative scheme of Doyle (Lecture Notes in Advances in Multivariable Control, ONR/Honeywell Workshop, Minneapolis, U.S.A. (1984)) for the unstrengthened problem.

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ER -

An algorithm for super-optimal H^∞ design: The two-block case

Abstract

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