Journal Article

Adaptive regulator design for undamped second-order hyperbolic systems with output disturbances

Toshihiro Kobayashi, Tetsuzo Sakamoto and Masahiro Oya

in IMA Journal of Mathematical Control and Information

Published on behalf of Institute of Mathematics and its Applications

Volume 25, issue 2, pages 205-219
Published in print June 2008 | ISSN: 0265-0754
Published online May 2007 | e-ISSN: 1471-6887 | DOI: http://dx.doi.org/10.1093/imamci/dnm019
Adaptive regulator design for undamped second-order hyperbolic systems with output disturbances

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In this paper, an adaptive regulator is designed for undamped second-order hyperbolic systems with output disturbances in the case where the input and output operators are collocated. The systems may have an infinite number of poles and zeros on the imaginary axis. The adaptive regulator is constructed by a high-gain adaptive feedback and a new type of the estimation mechanism for the unknown parameters of the disturbances. First, the well-posedness of the closed-loop system is justified. Next, the stability of the closed-loop system is analysed. An example is given to illustrate the theory.

Keywords: high-gain adaptive stabilization; regulator design; undamped second-order hyperbolic systems; disturbed outputs

Journal Article.  0 words. 

Subjects: Mathematics

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