High-gain adaptive λ-[lambda]-tracking for nonlinear systems

Ilchmann, Achim; Allgöwer, Frank; Ashman, Jon

It is shown that a simple modification (introducing a dead zone in the adaptation law) of the known adaptive high-gain control strategy u(t) = -k(t)y(t), k(t) = ||y(t)||2 yields lambda-tracking in the presence of output corrupted noise for a large class of reference signals and a large class of multivariable nonlinear minimum-phase systems of relative degree one. These results are applied to a realistic chemical reactor, showing the practical usefulness of these control laws.

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Ilchmann, Achim / Allgöwer, Frank / Ashman, Jon: High-gain adaptive λ-[lambda]-tracking for nonlinear systems. 2005.

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