Open AccessSYNTHESIS OF ZONAL CONTROLS USING INFORMATION ON THE OBJECT’S STATE AT THE CURRENT AND PREVIOUS MOMENTS OF TIME
Author(s) -
S.Z. GULIYEV
Publication year - 2022
Publication title -
baku mathematical journal
Language(s) - English
Resource type - Journals
eISSN - 2790-8429
pISSN - 2790-8410
DOI - 10.32010/j.bmj.2022.09
Subject(s) - current (fluid) , constant (computer programming) , control theory (sociology) , phase (matter) , variable (mathematics) , state (computer science) , mathematics , control variable , control (management) , work (physics) , finite set , process (computing) , state vector , feature (linguistics) , space (punctuation) , state variable , differential (mechanical device) , mathematical analysis , computer science , physics , algorithm , statistics , classical mechanics , quantum mechanics , artificial intelligence , thermodynamics , programming language , operating system , linguistics , philosophy
It the work, it is assumed that only a part of the components of the phase state vector is controllable. To form the current values of the control actions, we use the measured values of the components both at the current and in some previous moments of time. As a result, the process under study is described by differential equations with timelagging arguments in the phase variable. Another feature of the approach to the feedback control is that the parameters of the dependence of the control actions on the measured values of the state are constant on subsets (zones) of the phase space, into which it is divided in advance. We call such feedback parameters zonal. Due to the fact that the phase space is divided into a finite number of zones, the number of optimizable feedback parameters in the control problem is also finite. Accordingly, the original feedback control problem is reduced to a finite-dimensional optimization problem with the values of the zonal feedback parameters as design variables.