Open AccessLinear quadratic optimization for fractional order differential algebraic system of Riemann-Liouville type
Author(s) -
Admi Nazra,
Zulakmal,
Lyra Yulianti,
Muhafzan
Publication year - 2020
Publication title -
cybernetics and physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.267
H-Index - 8
eISSN - 2226-4116
pISSN - 2223-7038
DOI - 10.35470/2226-4116-2020-9-4-192-197
Subject(s) - mathematics , fractional calculus , type (biology) , transformation (genetics) , linear fractional transformation , algebraic number , quadratic equation , differential (mechanical device) , constraint (computer aided design) , order (exchange) , pure mathematics , mathematical analysis , nonlinear system , robust control , ecology , biochemistry , chemistry , physics , geometry , quantum mechanics , biology , gene , finance , engineering , economics , aerospace engineering
In this article, the linear quadratic optimization problem subject to fractional order differential algebraic systems of Riemann-Liouville type is studied. The goal of this article is to find the optimal control-state pairs satisfying the dynamic constraint of the form a fractional order differential algebraic systems such that the linear quadratic objective functional is minimized. The transformation method is used to find the optimal controlstate pairs for this problem. The optimal control-state pairs is stated in terms of Mittag-Leffler function.