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IMA Journal of Mathematical Control and Information 1991 8(4):409-429; doi:10.1093/imamci/8.4.409
© 1991 by Institute of Mathematics and its Applications
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Threshold Switching Functions in High-Gain Adaptive Control

ACHIM ILCHMANN and DAVID H. OWENS

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

Adaptive stabilizers for the class of m-input m-output minimum phase systems


with unknown state dimension and definite high-frequency gain, i.e. {sigma}(CB) C– or {sigma}(CB) C+, are introduced. These controllers are not based on identification mechanisms and yield an exponential decaying output and a convergent adaptation gain. The main result is a switching strategy alternative to the so-called Nussbaum function approach. This adaptation mechanism can tolerate dynamics in the input and, more importantly, sector-bounded input-output nonlinearities are allowed for single-input single-output systems.


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