Title :
A Hybrid Robust Non-Homogeneous Finite-Time Differentiator
Author :
Efimov, Denis V. ; Fridman, Leonid
Author_Institution :
Autom. control group, Univ. of Bordeaux, Talence, France
fDate :
5/1/2011 12:00:00 AM
Abstract :
A variant of super-twisting differentiator is proposed. Lyapunov function is designed and an estimate on finite time of derivatives estimation is given. The differentiator is equipped with hybrid adaptation algorithm that ensures global differentiation ability independently on amplitude of the differentiated signal and measurement noise.
Keywords :
Lyapunov methods; control system synthesis; differentiation; robust control; Lyapunov function; derivatives estimation; differentiated signal amplitude; hybrid adaptation algorithm; measurement noise; nonhomogeneous finite time differentiator; Algorithm design and analysis; Convergence; Equations; Estimation; Lyapunov method; Noise; Robustness; Adeptive algorithm; PID control; sliding mode control;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2011.2108590