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Two-input control-affine systems linearizable via one-fold prolongation and their flatness.
- Source :
- European Journal of Control; Mar2016, Vol. 28, p20-37, 18p
- Publication Year :
- 2016
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09473580
- Volume :
- 28
- Database :
- Supplemental Index
- Journal :
- European Journal of Control
- Publication Type :
- Academic Journal
- Accession number :
- 113897424
- Full Text :
- https://doi.org/10.1016/j.ejcon.2015.11.001