6533b862fe1ef96bd12c75f2

RESEARCH PRODUCT

Optimal Control Under Fuzzy Conditions for Dynamical Systems Associated with the Second Order Linear Differential Equations

Svetlana AsmussNatalja BudkinaNatalja Budkina

subject

Dynamical systems theoryRegular polygon010103 numerical & computational mathematicsOptimal trajectory planningOptimal control01 natural sciencesFuzzy logic010101 applied mathematicsSpline (mathematics)Linear differential equationFuzzy numberApplied mathematics0101 mathematicsMathematics

description

This paper is devoted to an optimal trajectory planning problem with uncertainty in location conditions considered as a problem of constrained optimal control for dynamical systems. Fuzzy numbers are used to incorporate uncertainty of constraints into the classical setting of the problem under consideration. The proposed approach applied to dynamical systems associated with the second order linear differential equations allows to find an optimal control law at each \(\alpha \)-level using spline-based methods developed in the framework of the theory of splines in convex sets. The solution technique is illustrated by numerical examples.

yearjournalcountryeditionlanguage
2020-01-01
https://doi.org/10.1007/978-3-030-50153-2_25