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.

Identyfikatory

DOI

10.34768/amcs-2021-0002

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

fractional order nonlinear system; constrained regulation; positively invariant set; linear programming

PL

układ nieliniowy; zbiór dodatnio niezmienny; programowanie liniowe

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2021
• Tom: Vol. 31, no. 1
• Strony: 17--28
• Opis fizyczny: Bibliogr. 38 poz., wykr.

Twórcy

autor

Si Xindong

• College of Mathematics and Systems Sciences, Shandong University of Science and Technology, No. 579 Qianwangang Road, Qingdao, Shandong 266590, China

autor

Yang Hongli

• College of Mathematics and Systems Sciences, Shandong University of Science and Technology, No. 579 Qianwangang Road, Qingdao, Shandong 266590, China

autor

Ivanov Ivan G.

• Faculty of Economics and Business Administration, St. Kl. Ohridski Sofia University, 125 Tzarigradsko chaussee blvd., bl. 3, Sofia 1113, Bulgaria

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).