Parameterization of Suboptimal Solutions of the Nehari Problem for Infinite-Dimensional Systems

Parameterization of Suboptimal Solutions of the Nehari Problem for Infinite-Dimensional Systems

The Nehari problem plays an important role in H infin control theory. It is well known that H infin control problem can be reduced to solving this problem. This note gives a parameterization of all suboptimal solutions of the Nehari problem for a class of infinite-dimensional systems. Many earlier s...

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Veröffentlicht in:IEEE transactions on automatic control 2007-12, Vol.52 (12), p.2369-2374
Hauptverfasser: Kashima, K., Yamamoto, Y., Ozbay, H.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Automatic control
Computer science
control theory
systems
Conformal mapping
Contracts
Control system synthesis
Control theory
Control theory. Systems
Delay systems
Educational technology
Exact sciences and technology
Finite impulse response filter
H^{\infty} -control
Impulse response
infinite-dimensional systems
Informatics
Information science
Mathematical analysis
Nehari problem
Parametrization
Riccati equations
Space technology
State-space methods
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Zusammenfassung:The Nehari problem plays an important role in H infin control theory. It is well known that H infin control problem can be reduced to solving this problem. This note gives a parameterization of all suboptimal solutions of the Nehari problem for a class of infinite-dimensional systems. Many earlier solutions of this problem are seen to be special cases of this new parameterization. It is also shown that for finite impulse response systems this parameterization takes a particularly simple form.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2007.910725