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

DOI

10.3906/elk-1807-347

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

First Page

4442

Last Page

4455

Recommended Citation

CAMPANA, JESUS ALBERTO MEDA; ESTRADA, ELBA CINTHYA GARCIA; MANCILLA, JULIO CESAR GOMEZ; AVILA, JOSE DE JESUS RUBIO; DEVIANA, MARIO RICARDO CRUZ; and HERRERA, RICARDO TAPIA (2019) "On the output regulation for linear fractional systems," Turkish Journal of Electrical Engineering and Computer Sciences: Vol. 27: No. 6, Article 29. https://doi.org/10.3906/elk-1807-347
Available at: https://journals.tubitak.gov.tr/elektrik/vol27/iss6/29