Analytical Impulse Response of Third Generation CRONE Control

The present work is dealing with the synthesis of the third generation CRONE control impulse response. The main objective of this research is to extend the application of the preshaping approach to the third generation CRONE control. Preshaping is a feedforward technique used for reducing system oscillation in motion control. Mathematical development is based essentially on the integral residue method. Analytical result puts into proof that a third generation CRONE control impulse response is decomposed into two different sub-system behaviors: oscillatory and aperiodic ones. Simulations are presented to promote this result.