Open AccessPhysical implementation of optimal control over a direct current
Author(s) -
D F Devia,
Fernando Mesa,
D M Devia
Publication year - 2022
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 - 10.1088/1742-6596/2153/1/012011
Subject(s) - extension (predicate logic) , control theory (sociology) , current (fluid) , optimal control , computer science , set (abstract data type) , function (biology) , diagram , control (management) , interval (graph theory) , linear quadratic regulator , mathematics , mathematical optimization , engineering , artificial intelligence , combinatorics , database , evolutionary biology , electrical engineering , biology , programming language
In the next manuscript we will show an interesting physical application of the technique of optimal control over a direct current, more exactly on a direct current motor. For this, the mathematical support or scaffolding that allows to establish the model of the problem will be presented in the development of the document, which contains a basic structure supported in a general dynamic system (linear or non-linear) and an objective function that will depend on the system. Although in essence the optimal control problems correspond to infinite spaces, the finite-dimensional case will be analyzed initially and then made an extension to the case of a quadratic linear regulator for an interval of infinite duration. The results of the implementation of this optimal control technique on a direct current motor will be analyzed by means of Bole diagrams that will represent the frequency response of the system and a follow-up diagram of set points and rejection of disturbances.