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IMA Journal of Mathematical Control and Information 1997 14(2):175-206; doi:10.1093/imamci/14.2.175
© 1997 by Institute of Mathematics and its Applications
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Adaptive control of infinite-dimensional systems without parameter estimation: an overview{dagger}

HARTMUT LOGEMANN and STUART TOWNLEY {ddagger}

School of Mathematical Sciences, University of Bath, Claverton Down, Bath BA2 7AY
Department of Mathematics, University of Exeter, North Park Road, Exeter EX4 4QE

This paper contains an overview of adaptive control of infinite-dimensional systems without parameter estimation or identification. We describe the main problems and present the most comprehensive results. High-gain, low-gain and switching controllers are considered. The literature is discussed and a number of open problems are posed.

Keywords: Adaptive control; infinite-dimensional system; nonlinear controllers; stabilization; tracking; state-space methods; frequency-domain methods.

{dagger}This work was supported by British Council/DAAD ARC (Project 464), the HUMAN AND CAPITAL MOBILITY programme (Project number CHRX-CT-93-0402) and the EPSRC (Grant number GR/J 78075).

{ddagger}Also with the Centre for Systems and Control Engineering, University of Exeter.


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