Open AccessInformation system model for implementation and maintenance of stochastic control over a nonlinear object on manifolds
Author(s) -
С. И. Колесникова
Publication year - 2020
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 - 10.1088/1742-6596/1661/1/012099
Subject(s) - nonlinear system , invariant (physics) , object (grammar) , stochastic control , control theory (sociology) , mathematics , computer science , optimal control , mathematical optimization , control (management) , artificial intelligence , physics , quantum mechanics , mathematical physics
The paper presents a problem statement for a robust stochastic regulator synthesis based on the principles of control on manifolds, a solution algorithm of a new information system and its structure maintaining the synthesis algorithm for a stochastic discrete object. The object under study is presented as a system of stochastic, difference nonlinear equations. The mathematical tools of the classical method of analytical design of aggregated regulators are used, which were developed earlier for a deterministic nonlinear object with a complete description. The robust stochastic nonlinear regulator ensures the following characteristics of the control system: a) minimum deviation of the output variable; b) minimum dispersion of the target invariant; c) minimum average value of the control quality functional.