On global identifiability for arbitrary model parametrizations
Automatica (Journal of IFAC)
Tools for Semiglobal Stabilization by Partial State and Output Feedback
SIAM Journal on Control and Optimization
A Least Mean Squares Cubic Algorithm for On-Line Differential of Sampled Analog Signals
IEEE Transactions on Computers
On observer design for nonlinear systems
International Journal of Systems Science
Differentiation by integration with Jacobi polynomials
Journal of Computational and Applied Mathematics
An observer-based approach for the projection onto a 2d-curve under movement
Robotics and Autonomous Systems
Error analysis of Jacobi derivative estimators for noisy signals
Numerical Algorithms
Convergence rate of the causal jacobi derivative estimator
Proceedings of the 7th international conference on Curves and Surfaces
| Hi-index | 22.14 |
The design of an ideal differentiator is a difficult and a challenging task. In this paper we discuss the properties and the limitations of two different structures of linear differentiation systems. The first time-derivative observer is formulated as a high-gain observer where the observer gain is calculated through a Lyapunov-like dynamical equation. The second one is given in Brunovski form in which the output to be differentiated appears as a control input and the differentiation gain is calculated from the dual Lyapunov equation of the first differentiation observer. A discrete-time version of the second form is given. Finally, illustrative examples are presented to show their strengths and weaknesses.