HIGH-GAIN ADAPTIVE LAMBDA-TRACKING FOR NONLINEAR-SYSTEMS

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)= parallel to y(t)parallel to(2) yields lambda-tracki ng in the presence of output corrupted noise for a large class of refe rence signals and a large class of multivariable nonlinear 'minimum-ph ase' systems of relative degree one. These results are applied to a re alistic chemical reactor, showing the practical usefulness of these co ntrol laws. (C) 1997 Elsevier Science Ltd.