Abstract
Here considered is the stabilizing property of the adaptive nonlinear dynamic feedback control proposed in (Hmamed and Radouane, 1983) for multivariable systems in the presence of uncertainty. A multivariable system is decomposed into a set of single-input subsystems and the second Luenberger canonical form is obtained. This representation is suitable for non-linear adaptive control of unknown systems. The measure of robustness of the proposed scheme is defined in terms of bounds of allowable perturbations such that the stability is preserved. It is shown that the system can always remain stable for a large class of perturbations.
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