Extensions of mixed-µbounds to monotonic and odd monotonic nonlinearities using absolute stability theory†
作者:
WASSIMM. HADDAD,
JONATHANP. HOW,
STEVENR. HALL,
DENNISS. BERNSTEIN,
期刊:
International Journal of Control
(Taylor Available online 1994)
卷期:
Volume 60,
issue 5
页码: 905-951
ISSN:0020-7179
年代: 1994
DOI:10.1080/00207179408921501
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
In this paper we make explicit connections between classical absolute stability theory and modern mixed-μanalysis and synthesis. Specifically, using the parameter-dependent Lyapunov function framework of Haddad and Bernstein and the frequency dependent off-axis circle interpretation of How and Hall, we extend previous work on absolute stability theory for monotonic and odd monotonic nonlinearities to provide tight approximations for constant real parameter uncertainty. An immediate application of this framework is the generalization and reformulation of mixed-μanalysis and synthesis in terms of Lyapunov functions and Riccati equations. This observation is exploited to provide robust, reduced-order controller synthesis while avoiding the standardD, N - Kiteration and curve-fitting procedures.
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