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IMA Journal of Mathematical Control and Information 1999 16(4):363-376; doi:10.1093/imamci/16.4.363
© 1999 by Institute of Mathematics and its Applications
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Adaptive stabilization and regulator design for distributed-parameter systems in the case of collocated actuators and sensors

TOSHIHIRO KOBAYASHI

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

In this paper, we consider adaptive stabilization and an adaptive regulator design for collocated distributed-parameter systems in the case of the input and output operators being unbounded. Adaptive stabilization is realized by the concept of high-gain output feedback. The adaptive regulator is constructed via the concept of high-gain output feedback, using a mechanism to estimate the unknown parameters of the bounded disturbances. The state of the controlled system is shown to converge to zero.

Keywords: adaptive regulator; destributed-parameter systems; bounded deterministic disturbance; collocated input and output; boundary input and output.


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