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IMA Journal of Mathematical Control and Information Advance Access originally published online on December 27, 2006
IMA Journal of Mathematical Control and Information 2007 24(4):461-471; doi:10.1093/imamci/dnl036
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© The author 2006. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Adaptive regulator design for a class of parabolic distributed parameter systems with disturbed outputs

Toshihiro Kobayashi{dagger}, Tetsuzo Sakamoto{ddagger} and Masahiro Oya§

Department of Mechanical and Control Engineering, Faculty of Engineering, Kyushu Institute of Technology, Tobata, Kitakyushu 804-8550, Japan

{dagger} Email: koba{at}cntl.kyutech.ac.jp

{ddagger} Email: sakamoto{at}cntl.kyutech.ac.jp

§ Email: oya{at}cntl.kyutech.ac.jp

Received on September 26, 2005; Accepted on September 3, 2006

In this paper an adaptive regulator is designed for collocated parabolic distributed parameter systems with disturbed outputs in the case of unbounded input and output operators. The adaptive regulator is constructed by the concept of high-gain output feedback and a new type of the estimation mechanism of the unknown parameters for the noise. The existence and uniqueness of the solution of the closed-loop system are justified. In the controlled system, the convergence of the system state to zero will be guaranteed.

Keywords: adaptive regulator; parabolic distributed parameter systems; bounded noise; collocated input and output; boundary input and output.


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