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IMA Journal of Mathematical Control and Information 1991 8(4):321-366; doi:10.1093/imamci/8.4.321
© 1991 by Institute of Mathematics and its Applications
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Non-Identifier-Based Adaptive Control of Dynamical Systems: A Survey

ACHIM ILCHMANN

University of Exeter, Centre for Systems and Control Engineering, School of Engineering North Park Road, Exeter, Devon EX4 4QF, U.K. ilchmann.a{at}exeter.ac.uk

In adaptive control, the objective is to provide a single controller (consisting of a feedback law and a parameter adaptation law) which can control each system belonging to a certain class of systems. The systems are not known precisely: only structural properties (e.g. minimality, minimum phase, known relative degree) are assumed to hold. The control objectives are stabilization, tracking or servomechanism action. The paper surveys those aspects of the field of adaptive control which started in the 1970s wherein no parameter estimators are used. In addition to universal adaptive controllers for finite dimensional minimum phase systems of relative degree 1, controllers for higher relative degree, non-minimum phase, infinite-dimensional, and nonlinear systems are also presented.


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