Characterization and computation of H/sub infinity /-optimal controllers in the state-space

A state-space solution to the standard H/sub infinity /-optimal control problem for the 'square case' is presented. The technique is based on a J-spectral factorization of the scattering matrix corresponding to the controlled plant, and the class of suboptimal controllers is parameterized...

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Bibliographic Details
Published inProceedings of the 27th IEEE Conference on Decision and Control pp. 20 - 25 vol.1
Main Authors Hara, S., Kondo, R.
Format Conference Proceeding
LanguageEnglish
Japanese
Published IEEE 06.01.2003
Subjects
Control engineering
Control systems
Feedback
H infinity control
Interpolation
Optimal control
Riccati equations
Scattering
Space technology
State-space methods
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DOI10.1109/CDC.1988.194262

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Summary:A state-space solution to the standard H/sub infinity /-optimal control problem for the 'square case' is presented. The technique is based on a J-spectral factorization of the scattering matrix corresponding to the controlled plant, and the class of suboptimal controllers is parameterized only by these matrices. It is shown that there exists a suboptimal controller whose dimension is the same as that of the controlled plant.< >
DOI:10.1109/CDC.1988.194262