Open AccessProperties of solutions of dynamic control reconstruction problems
Author(s) -
E. A. Krupennikov
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1864/1/012034
Subject(s) - bounded function , affine transformation , mathematics , trajectory , residual , state variable , mathematical optimization , regular polygon , inverse problem , control theory (sociology) , control (management) , computer science , algorithm , mathematical analysis , artificial intelligence , physics , geometry , astronomy , pure mathematics , thermodynamics
This paper is devoted to inverse problems of the control theory, namely, the dynamic control reconstruction problem. It is the problem of online reconstruction of unknown controls (the input) using known inaccurate measurements of the realized trajectory (the output). Deterministic affine controlled systems are considered. A method for solving this problem is suggested. It relies on auxiliary variational problems on extremum of a regularized integral residual functional. The key feature of this method is using a functional which is convex in control variables and concave in state variables. Properties of the solutions obtained by this method are studied. It is shown that the obtained solutions have oscillating character and are bounded. Results of numerical simulations are provided.