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Stable ℋ︁ 2 ‐optimal controller synthesis
Author(s) -
Corrado Joseph R.,
Erwin R. Scott,
Bernstein Dennis S.,
Haddad Wassim M.
Publication year - 2000
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/1099-1514(200005/06)21:3<107::aid-oca670>3.0.co;2-3
Subject(s) - control theory (sociology) , controller (irrigation) , stability (learning theory) , computer science , mathematical optimization , mathematics , control (management) , artificial intelligence , machine learning , agronomy , biology
This paper considers fixed‐structure stable ℋ 2 ‐optimal controller synthesis using a multiobjective optimization technique which provides a trade‐off between closed‐loop performance and the degree of controller stability. The problem is presented in a decentralized static output feedback framework developed for fixed‐structure dynamic controller synthesis. A quasi‐Newton/continuation algorithm is used to compute solutions to the necessary conditions. To demonstrate the approach, two numerical examples are considered. The first example is a second‐order spring–mass–damper system and the second example is a fourth‐order two‐mass system, both of which are considered in the stable stabilization literature. The results are then compared with other methods of stable compensator synthesis. Copyright © 2000 John Wiley & Sons, Ltd.