Multi-stage Control Design of Strictly Positive Real H2 Controllers

This paper addresses synthesis of strictly positive real H2 controllers. An upper bound on the H2 norm of the closed-loop transfer function is minimized under constraint of strict positive realness on controllers. We propose a multi-stage design procedure to construct this type of controllers. First...

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Bibliographic Details
Published inTransactions of the Institute of Systems, Control and Information Engineers Vol. 19; no. 9; pp. 333 - 341
Main Authors SHIMOMURA, Takashi, YAMASAKI, Yasuhiro, FUJII, Takao
Format Journal Article
LanguageJapanese
Published THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE) 15.09.2006
Subjects
convexity
H2
LMI
multi-stage control design
SPR
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Summary:This paper addresses synthesis of strictly positive real H2 controllers. An upper bound on the H2 norm of the closed-loop transfer function is minimized under constraint of strict positive realness on controllers. We propose a multi-stage design procedure to construct this type of controllers. First, we parametrize both Lyapunov solutions and controllers. Second, we show that if we partially fix them alternatively, we can improve the H2 performance iteratively while allowing for distinct Lyapunov solutions. A numerical example illustrates the applicability of the proposed method.
ISSN:1342-5668
2185-811X
DOI:10.5687/iscie.19.333