Iterative learning control applied to distributed-order linear time invariant MIMO systems to achieve learnability

被引：1

作者：

Angeles-Ramirez, Oscar A. ^{[1
]}

Fernandez-Anaya, Guillermo ^{[1
]}

Munoz-Vazquez, Aldo J. ^{[2
]}

Sanchez-Torres, Juan D. ^{[3
]}

Melendez-Vazquez, Fidel ^{[1
]}

机构：

[1] Univ Iberoamer, Phys & Math Dept, 880 Prol Paseo Reforma, Mexico City 01219, DF, Mexico

[2] Texas A&M Univ, Higher Educ Ctr McAllen, Dept Multidisciplinary Engn, 6200 Tres Lagos Blvd, Mcallen, TX 78504 USA

[3] ITESO, Dept Math & Phys, Perifer Sur Manuel Gomez Morin 8585, Tlaquepaque 45604, Jalisco, Mexico

来源：

ASIAN JOURNAL OF CONTROL | 2023年 / 25卷 / 04期

关键词：

distributed-order linear time invariant systems; fractional systems; iterative learning control; learnability; positive realness; strictly positive realness; DISSIPATIVITY; STABILITY; CALCULUS;

D O I：

10.1002/asjc.2973

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：2508 / 2520

页数：13

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