Title :
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
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;
Conference_Titel :
Control Conference (ECC), 2014 European
Conference_Location :
Strasbourg
Print_ISBN :
978-3-9524269-1-3
DOI :
10.1109/ECC.2014.6862399
