Mixed order fractional observers for minimal realizations of linear time-invariant systems
Author
dc.contributor.author
Duarte-Mermoud, Manuel
Author
dc.contributor.author
Gallegos, Javier
Author
dc.contributor.author
Aguila Camacho, Norelys
Author
dc.contributor.author
Castro-Linares, Rafael
Admission date
dc.date.accessioned
2019-05-31T15:21:16Z
Available date
dc.date.available
2019-05-31T15:21:16Z
Publication date
dc.date.issued
2018
Cita de ítem
dc.identifier.citation
Algorithms, Volumen 11, Issue 9, 2018
Identifier
dc.identifier.issn
19994893
Identifier
dc.identifier.other
10.3390/a11090136
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/169556
Abstract
dc.description.abstract
Adaptive and non-adaptive minimal realization (MR) fractional order observers (FOO) for
linear time-invariant systems (LTIS) of a possibly different derivation order (mixed order observers,
MOO) are studied in this paper. Conditions on the convergence and robustness are provided using
a general framework which allows observing systems defined with any type of fractional order
derivative (FOD). A qualitative discussion is presented to show that the derivation orders of the
observer structure and for the parameter adjustment are relevant degrees of freedom for performance
optimization. A control problem is developed to illustrate the application of the proposed observers.
Gallegos, Javier A.; Duarte Mermoud, Manuel(Elsevier, 2016)
We provide the main features of Lyapunov theory when it is formulated for fractional order systems. We give consistent extensions of Lyapunov, LaSalle and Chetaev classical theorems to the case of fractional order systems. ...
Gallegos, Javier A.; Aguila Camacho, Norelys; Duarte Mermoud, Manuel(Elsevier, 2020)
In this paper, a general method to establish the asymptotic behaviour of solutions to multi-order multiple time-varying delays nonlinear systems is proposed. The method, relying on vector Lyapunov-like functions and on ...
Gallegos, Javier A.; Aguila-Camacho, Norelys; Duarte-Mermoud, Manuel A.(Rocky Mountain Mathematics Consortium, 2019)
Conditions for existence, uniqueness and smoothness of solutions for systems of fractional differential equations of Caputo and/or Riemann-Liouville type having all of them in general and not of the same derivation order ...