Linearizable feedforward systems: A special class

We address the problem of linearizability of systems in feedforward form. In a recent paper, we completely solved the linearizability for strict feedforward systems. We extend here those results to a special class of feedforward systems. We provide an algorithm, along with explicit transformations, that linearizes the system by change of coordinates when some easily checkable conditions are met. We also re-analyze type II class of linearizable strict feedforward systems provided by Krstic and we show that this class is the unique linearizable among the class of quasi-linear strict feedforward systems. Our results allow an easy computation of the linearizing coordinates and thus provide a stabilizing feedback controller for the original system. They can also be implemented via software like Mathematica/Matlab/Maple using simple integrations, derivations of functions.