MINES ParisTech CAS - Centre automatique et systèmes

CONSTRUCTIVE DERIVATION OF A NORMAL FORM IN TRIANGULAR SHAPE FOR FLAT PFAFFIAN SYSTEMS

Séance du 5 juillet 2012, à l'Ecole des Mines, Paris.
14h00 : Markus SCHÖBERL, Post-doctor, Institute of Automatic Control and Control Systems Technology (REG PRO), Johannes Kepler University Linz, Austria.
A constructive method that provides an implicit triangular decomposition, which is a kind of normal form, for flat non-linear multi-input systems is discussed. A key tool in our investigation will be the construction of certain Cauchy characteristic vector fields that additionally annihilate certain distributions, and that will correspond to variables whose time-evolution can be derived without any integration. This constructive method will be applied to several examples.