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

International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems: Proceedings 2020
Svetlana Asmuss, Nataļja Budkina

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 α-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.

Keywords
Dynamical system; Fuzzy constraints; Optimal control
DOI
10.1007/978-3-030-50153-2_25
Hyperlink
https://link.springer.com/chapter/10.1007%2F978-3-030-50153-2_25

Asmuss, S., Budkina, N. Optimal Control under Fuzzy Conditions for Dynamical Systems Associated with the Second Order Linear Differential Equations. In: International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems: Proceedings, Portugal, Lisbon, 15-19 June, 2020. Cham: Springer Nature Switzerland AG, 2020, pp.332-343. ISBN 978-3-030-50152-5. e-ISBN 978-3-030-50153-2. ISSN 1865-0929. e-ISSN 1865-0937. Available from: doi:10.1007/978-3-030-50153-2_25

Publication language
English (en)