Cross standard form: a solution to improve a given controller with H 2 or H ∞ specifications

This paper introduces in cross standard form (CSF) as a solution to the inverse optimal control problem. That is, the CSF is a canonical standard problem whose unique H ∞ or H 2 optimal controller is a given controller. From the control design point of view, the general idea is to apply the CSF to a...

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Bibliographic Details
Published in:International journal of control 2006-04, Vol.79 (4), p.279-287
Main Authors: Delmond, F., Alazard, D., Cumer, C.
Format: Article
Language:English
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Summary:This paper introduces in cross standard form (CSF) as a solution to the inverse optimal control problem. That is, the CSF is a canonical standard problem whose unique H ∞ or H 2 optimal controller is a given controller. From the control design point of view, the general idea is to apply the CSF to a given controller in order to set up a standard problem which can be completed to handle frequency domain H 2 or H ∞ specification. The analytical formulation of the CSF proposed in this paper can be applied to reduced-, full- or augmented-order compensators or two-degree of freedom compensations. Numerical and academic examples are given.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207170500539079