Universal approximation using differentiators and application to feedback control

Details Universal approximation using differentiators and application to feedback control Universal approximation using differentiators and application to feedback control

2011-02-14

arxiv.org/abs/1102.2794v1

Computer Science

Systems and Control

Scientific paper

In this paper, we consider the problems of approximating uncertainties and feedback control for a class of nonlinear systems without full-known states, and two approximation methods are proposed: universal approximation using integral-chain differentiator or extended observer. Comparing to the approximations by fuzzy system and radial-based-function (RBF) neural networks, the presented two methods can not only approximate universally the uncertainties, but also estimate the unknown states. Moreover, the integral-chain differentiator can restrain noises thoroughly. The theoretical results are confirmed by computer simulations for feedback control.

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