On the output regulation for linear fractional systems

Authors: JESUS ALBERTO MEDA CAMPANA, ELBA CINTHYA GARCIA ESTRADA, JULIO CESAR GOMEZ MANCILLA, JOSE DE JESUS RUBIO AVILA, MARIO RICARDO CRUZ DEVIANA, RICARDO TAPIA HERRERA

Abstract: In this work, the regulation problem is extended to the field of fractional-order linear systems considering the Caputo fractional derivative. The regulation equations are obtained on the basis of the Francis equations. It is also shown that the linear fractional regulator exists at $t=0$ only if the order of the plant is not greater than the order of the reference system.

Keywords: Regulation theory, fractional ordinary differential equations, linear systems, tracking of references

Full Text: PDF