Construction of a terminal control for a second-order system with state constraints

N. L. Grigorenko; A. V. Anisimov; L. N. Luk’yanova

doi:10.1134/S0081543816020097

Construction of a terminal control for a second-order system with state constraints

Authors: Grigorenko N.L.¹, Anisimov A.V.¹, Luk’yanova L.N.¹
Affiliations:
1. Faculty of Computational Mathematics and Cybernetics
Issue: Vol 292, No Suppl 1 (2016)
Pages: 106-114
Section: Article
URL: https://journals.rcsi.science/0081-5438/article/view/173303
DOI: https://doi.org/10.1134/S0081543816020097
ID: 173303

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Abstract

We consider a terminal control problem with state constraints and additional constraints on the qualitative behavior of the terminal trajectory for a second-order system in two-dimensional Euclidean space under geometric constraints on control parameters. A class of control functions solving this control problem is proposed. Numerical results for the control system with model parameters are presented.