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Tracking through singularities using sliding mode differentiators

Bernardino Castillo-Toledo, Stefano Di Gennaro, Armando López-Cuevas (2015)

Kybernetika

In this work, an alternative solution to the tracking problem for a SISO nonlinear dynamical system exhibiting points of singularity is given. An inversion-based controller is synthesized using the Fliess generalized observability canonical form associated to the system. This form depends on the input and its derivatives. For this purpose, a robust exact differentiator is used for estimating the control derivatives signals with the aim of defining a control law depending on such control derivative...

Universally optimal approximation of functionals

Milan Práger (1979)

Aplikace matematiky

A universal optimal in order approximation of a general functional in the space of continuous periodic functions is constructed and its fundamental properties and some generalizations are investigated. As an application the approximation of singular integrals is considered and illustrated by numerical results.

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