- Tytuł:
- Conditions and a computation method of the constrained regulation problem for a class of fractional-order nonlinear continuous-time systems
- Autorzy:
-
Si, Xindong
Yang, Hongli
Ivanov, Ivan G. - Powiązania:
- https://bibliotekanauki.pl/articles/1838174.pdf
- Data publikacji:
- 2021
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
fractional order nonlinear system
constrained regulation
positively invariant set
linear programming
układ nieliniowy
zbiór dodatnio niezmienny
programowanie liniowe - Opis:
- The constrained regulation problem (CRP) for fractional-order nonlinear continuous-time systems is investigated. New existence conditions of a linear feedback control law for a class of fractional-order nonlinear continuous-time systems under constraints are proposed. A computation method for solving the CRP for fractional-order nonlinear systems is also presented. Using the comparison principle and positively invariant set theory, conditions guaranteeing positive invariance of a polyhedron for fractional-order nonlinear systems are established. A linear feedback controller model and the corresponding algorithm of the CRP for fractional nonlinear systems are also proposed by using the obtained conditions. The presented model of the CRP is formulated as a linear programming problem, which can be easily implemented from a computational point of view. Numerical examples illustrate the proposed method.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2021, 31, 1; 17-28
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł