Paper Info
Title
Two-input control-affine systems linearizable via one-fold prolongation and their flatness
Abstract
We study flatness of two-input control-affine systems, defined on an n-dimensional state-space. We give a complete geometric characterization of systems that become static feedback linearizable after a one-fold prolongation of a suitably chosen control. They form a particular class of flat systems: they are of differential weight n + 3. We give normal forms compatible with the minimal flat outputs and provide a system of first order PDE׳s to be solved in order to find all minimal flat outputs. We illustrate our results by two examples: the induction motor and the polymerization reactor.
Year
DOI
Venue
2016
10.1016/j.ejcon.2015.11.001
European Journal of Control
Keywords
Field
DocType
Flatness,Flat outputs,Differential weight,Linearization,Normal forms
Affine transformation,Flatness (systems theory),Induction motor,First order,Control theory,Control engineering,Prolongation,Linearization,Mathematics
Journal
Volume
ISSN
Citations 
28
0947-3580
0
PageRank 
References 
Authors
0.34
3
2
Name
Order
Citations
PageRank
Florentina Nicolau1132.18
Witold Respondek212331.10