Generalized conformable operators: Application to the design of nonlinear observers Academic Article uri icon

abstract

  • In this work, a pair of observers are proposed for a class of nonlinear systems whose dynamics involve a generalized differential operator that encompasses the conformable derivatives. A generalized conformable exponential stability function, based on this derivative, is introduced in order to prove some Lyapunov-like theorems. These theorems help to verify the stability of the observers proposed, which is exponential in a generalized sense. The performance of the observation scheme is evaluated by means of numerical simulations. Moreover, a comparison of the results obtained with integer, fractional, and generalized conformable derivatives is made.

published proceedings

  • AIMS Mathematics

author list (cited authors)

  • Meléndez-Vázquez, F., Fernández-Anaya, G., Muñóz-Vázquez, A. J., & Hernández-Martínez, E. G.

citation count

  • 0

complete list of authors

  • Meléndez-Vázquez, Fidel||Fernández-Anaya, Guillermo||Muñóz-Vázquez, Aldo Jonathan||Hernández-Martínez, Eduardo Gamaliel

publication date

  • January 2021