Reduced order H∞ controllers using hessenberg reduction

In this paper, a new canonical parametrization of stable, strictly proper, real rational systems with a given finite H ∞ norm is derived using a reduction to Hessenberg form. This parametrization is used to develop a new approach to the computation of reduced order H ∞ controllers.

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Bibliographic Details
Main Authors: Sage, H. G., de Mathelin, M. F., Ostertag, E.
Format: Conference Proceeding
Language:English
Subjects:
canonical forms
Computed tomography
controller reduction
Generators
H ∞ control
Lead
Linear systems
Riccati equations
Robustness
Online Access:Request full text
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Description
Summary:In this paper, a new canonical parametrization of stable, strictly proper, real rational systems with a given finite H ∞ norm is derived using a reduction to Hessenberg form. This parametrization is used to develop a new approach to the computation of reduced order H ∞ controllers.
DOI:10.23919/ECC.1997.7082520