Homogeneous differentiator design using implicit Lyapunov Function method

Andrey Polyakov,Denis Efimov,Wilfrid Perruquetti

doi:10.1109/ecc.2014.6862399

Homogeneous differentiator design using implicit Lyapunov Function method

Andrey Polyakov, Denis Efimov + Show 1 more

Open Access

https://doi.org/10.1109/ecc.2014.6862399

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Publication Date: Jun 1, 2014
Citations: 49	License type: other-oa

Affiliation: École Centrale de Lille, French Institute for Research in Computer Science and Automation, ITMO University, Moscow Power Engineering Institute, Moscow Aviation Institute

#System Of Linear Matrix Inequalities #Implicit Lyapunov Function Method + Show 8 more

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Abstract

The Implicit Lyapunov Function (ILF) for a class of homogeneous systems is introduced and studied. The analysis of homogeneous differentiator using ILF method is presented. Sufficient stability conditions for homogeneous differentiator are obtained and represented by a parameterized system of Linear Matrix Inequalities (LMI). The differentiation error and convergence time are estimated. The procedure of parameters tuning for homogeneous differentiator is formulated as the semi-definite programming problem with LMI constraints. The obtained theoretical results are supported by numerical simulations.

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