Characterization of controllers in simultaneous stabilization

This paper gives a convenient parametrization for the class of all stabilizing controllers for two or more plants. The result represent a generalization of the Youla parametrization of the class of all stabilizing controllers in terms of an arbitrary stable proper transfer function. Although, as exp...

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Bibliographic Details
Published in:Systems & control letters 1988-05, Vol.10 (5), p.333-340
Main Authors: Obinata, G., Moore, J.B.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control
Control system synthesis
Control theory. Systems
Exact sciences and technology
Robust control
Stabilization
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Summary:This paper gives a convenient parametrization for the class of all stabilizing controllers for two or more plants. The result represent a generalization of the Youla parametrization of the class of all stabilizing controllers in terms of an arbitrary stable proper transfer function. Although, as expected, the additional constraints for simultaneous stabilization are not readily incorporated into H ∞, H 2 optimization procedures as in the standard case, there is immediate application of the theory for reduction of controllers which simultaneously stabilize two or more plants.
ISSN:0167-6911
1872-7956
DOI:10.1016/0167-6911(88)90023-0