Homogeneous differentiator design using implicit Lyapunov Function method

Author

Polyakov, Andrey ; Efimov, Denis ; Perruquetti, Wilfrid

Author_Institution

Non-A INRIA - LNE, Villeneuve d´Ascq, France

fYear

2014

fDate

24-27 June 2014

Firstpage

288

Lastpage

293

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.

Keywords

Lyapunov methods; linear matrix inequalities; mathematical programming; numerical analysis; ILF method; LMI constraints; convergence time; differentiation error; homogeneous differentiator design; implicit Lyapunov function method; linear matrix inequalities; numerical simulations; parameter tuning; semidefinite programming problem; stability conditions; Linear matrix inequalities; Lyapunov methods; Noise measurement; Observers; Symmetric matrices; Tuning; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2014 European

Conference_Location

Strasbourg

Print_ISBN

978-3-9524269-1-3

Type

conf

DOI

10.1109/ECC.2014.6862399

Filename

6862399