Identification of linear error-models with projected dynamical systems

0360172 - MÚ 2012 NL eng J - Journal Article
Krejčí, Pavel - Kuhnen, K.
Identification of linear error-models with projected dynamical systems.
Mathematical and Computer Modelling of Dynamical Systems. Roč. 10, č. 1 (2004), s. 59-91. ISSN 1387-3954. E-ISSN 1744-5051
Keywords : identification * error models * projected dynamical systems
Subject RIV: BA - General Mathematics
Impact factor: 0.292, year: 2004
http://www.informaworld.com/smpp/content~db=all~content=a713682517

Linear error models are an integral part of several parameter identification methods for feedforward and feedback control systems and lead in connection with the L-2-norm to a convex distance measure which has to be minimised for identification purposes. The parameters are hereby often subject to specific restrictions whose intersections span a convex solution set with non-differentiability points on its boundary. For solving these well conditioned problems on-line the paper formulates the solution of the bounded convex minimisation problem as a stable equilibrium set of a proper system of differential equations. The vector field of the corresponding system of differential equations is based on a projection of the negative gradient of the distance Measure. A general drawback of this approach is the discontinuous right-hand side of the differential equation caused by the projection transformation.
Permanent Link: http://hdl.handle.net/11104/0197794