A Differentiator

Rapid-convergent nonlinear differentiator

A hybrid nonlinear differentiator being fit for rapid convergence is presented, which is based on singular perturbation technique and consists of linear and nonlinear parts. This differentiator is simple and can converge rapidly at all times, and no chattering phenomena happen. The theoretical results are confirmed by computer simulations and an experiment.

Warranty as a Competitive Differentiator in Manufacturing

On convergence of tracking differentiator

On convergence of tracking differentiator Bao-Zhu Guo and Zhi-Liang Zhao* Academy of Mathematics and Systems Science, Academia Sinica, Beijing 100190, P.R. China; School of Computational and Applied Mathematics, University of the Witwatersrand, Wits 2050, Johannesburg, South Africa; School of Mathematical Sciences, Shanxi University, Taiyuan 030006, P.R. China; Department of Mathematics, Univer...

On distributed order integrator/differentiator

In this paper, we derive the impulse response of the distributed order integrator/ differentiator and its asymptotic property by using the complex path integral. Based on the derived analytical impulse response, we present a technique to perform the discretization of the above distributed order integrator/differentiator. The derived asymptotic property can be applied to verify the feasibility o...

On Generalized Fractional Differentiator Signals

By employing the generalized fractional differential operator, we introduce a system of fractional order derivative for a uniformly sampled polynomial signal. The calculation of the bring in signal depends on the additive combination of the weighted bring-in of N cascaded digital differentiators. The weights are imposed in a closed formula containing the Stirling numbers of the first kind. The ...