Adaptation and nonlinear parametrization: nonlinear dynamics prospective

Details Adaptation and nonlinear parametrization: nonlinear dynamics prospective Adaptation and nonlinear parametrization: nonlinear dynamics prospective

2004-12-22

arxiv.org/abs/math/0412444v1

Mathematics

Optimization and Control

10 pages, preprint of the paper accepted for the 16-th IFAC World Congress, Prague, 2005

Scientific paper

We consider adaptive control problem in presence of nonlinear parametrization of uncertainties in the model. It is shown that despite traditional approaches require for domination in the control loop during adaptation, it is not often necessary to use such energy inefficient compensators it in wide range of applications. In particular, we show that recently introduced adaptive control algorithms in finite form which are applicable to monotonic parameterized systems can be extended to general smooth non-monotonic parametrization. These schemes do not require any damping or domination in control inputs.

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