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l2 gain bounded adaptive control of a first order linear system

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Author

Summary, in English

The problem of adaptive control is considered from a perspective of l2-gain. It has recently been shown that without an a priori bound on the system parameters, there exists no single dynamic feedback law that achieves bounded gain from disturbances to state for all first order linear systems. In this paper, a converse statement is proved for a standard adaptive scheme where the parameter estimate is saturated at a prespecified level. It is proved that the l2-gain with this controller grows at most linearly with the size of the a priori bound on the unknown parameter.

Publishing year

2004

Language

English

Publication/Series

Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems (MTNS)

Document type

Conference paper

Topic

  • Control Engineering

Status

Published

ISBN/ISSN/Other

  • ISBN: 90-5682-517-8