|
|||||
|
|
Iterative learning control applied to distributed-order linear time invariant MIMO systems to achieve learnability |
|
| Authors: | Oscar A. Ángeles-Ramírez Guillermo Fernández-Anaya Aldo J. Muñoz-Vázquez Juan D. Sánchez-Torres Fidel Meléndez-Vázquez |
| Affiliation: | 1. Physics and Mathematics Department, Universidad Iberoamericana, 880 Prol. Paseo de la Reforma, Lomas de Santa Fe, Álvaro Obregón, Mexico City, 01219 Mexico;2. Department of Multidisciplinary Engineering, Texas A&M University, Higher Education Center at McAllen, 6200 Tres Lagos Blvd., McAllen, Texas, 78504 USA;3. Department of Mathematics and Physics, ITESO, Periférico Sur Manuel Gomez Morin 8585, Tlaquepaque, Jalisco, 45604 Mexico |
| Abstract: | Sufficient and necessary conditions for a distributed-order linear time invariant system to be positive real are derived in terms of linear matrix inequalities. The positive realness condition is derived for three of the most usual cases presented in literature, in the realm of distributed-order linear time invariant systems. As an additional product of this paper, the strictly positive realness condition can be derived. In addition, the concept of learnability of fractional-order multi-input multi-output systems is extended to the case of distributed-order systems, which is approached from the concept of output-dissipativity by using an iterative learning scheme. |
| Keywords: | distributed-order linear time invariant systems fractional systems iterative learning control learnability positive realness strictly positive realness |