Blended algorithm for feedback linearization of single input control system

A new algorithm is proposed for computing locally the linearizing output of a single input nonlinear affine system. The algorithm relies on Goursat normal form, which is suitably modified, to obtain the successive integrations of one dimensional distributions of control system. The algorithm takes ideas from both vector field approach of feedback linearization and exterior differential system tools, hence the name Blended Algorithm is proposed. The proposed algorithm leads to a simple method of finding a linearizing output and has many advantages over the existing methods. The algorithm exhibits reduced computational complexity and can be extended to multi input system and partial linearizable system because of the underlying tower like structure.