Lyapunov Functions for Continuous and Discontinuous Differentiators

By E. Cruz‐Zavala, Jaime A. Moreno. 2016

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Abstract: Given a (differentiable) signal it is an important task for many applications to estimate on line its derivatives. Some well known algorithms to solve this problem include the (continuous) high-gain observers and (discontinuous) Levant’s exact differentiators. In this work we present a family of homogeneous differentiators, encompassing these two algorithms, and we propose a unified smooth Lyapunov function, that allows a common framework to study their convergence and performance analysis.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/68b3b0e87846aea4b48cb53d3f41cd1546746989