Journal Article

Adaptive servomechanism design for boundary control systems

Toshihiro Kobayashi and Masahiro Oya

in IMA Journal of Mathematical Control and Information

Published on behalf of Institute of Mathematics and its Applications

Volume 19, issue 3, pages 279-295
Published in print September 2002 | ISSN: 0265-0754
Published online September 2002 | e-ISSN: 1471-6887 | DOI: http://dx.doi.org/10.1093/imamci/19.3.279
Adaptive servomechanism design for boundary control systems

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In this paper we consider the design of adaptive servomechanism for boundary control systems in the case of the input and output operators being collocated. An adaptive servomechanism is constructed by the concept of high‐gain output feedback and the estimation mechanism of the unknown parameters for the bounded disturbances. Moreover, a controller is designed to be inverse optimal. It minimizes a meaningful cost functional that incorporates integral penalty on the tracking error state, the control and the parameter error.

Keywords: adaptive servomechanism; distributed parameter systems; boundary control; collocated input and output; inverse optimality

Journal Article.  0 words. 

Subjects: Mathematics

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