Open AccessMULTIVARIABLE CONTROL OF SOLAR BATTERY POWER: ELECTROTECHNICAL COMPLEX AS OBJECT WITH HESSIAN-DRIVEN GRADIENT FLOWS
Author(s) -
A. Yu. Sologubov,
AUTHOR_ID,
Irina Kirpichnikova
Publication year - 2021
Publication title -
vestnik ûžno-uralʹskogo gosudarstvennogo universiteta. seriâ ènergetika/vestnik ûžno-uralʹskogo gosudarstvennogo universiteta. seriâ, ènergetika
Language(s) - English
Resource type - Journals
eISSN - 2409-1057
pISSN - 1990-8512
DOI - 10.14529/power210307
Subject(s) - hessian matrix , controller (irrigation) , control theory (sociology) , smoothing , convergence (economics) , transient (computer programming) , computer science , trajectory , distortion (music) , gradient descent , photovoltaic system , mathematical optimization , mathematics , engineering , control (management) , physics , artificial intelligence , artificial neural network , economic growth , amplifier , computer network , bandwidth (computing) , biology , operating system , agronomy , computer vision , economics , electrical engineering , astronomy
The paper presents certain development results for the novel extremum seeking controller based on Nesterov’s gradient flows for solar tracking systems. It achieves convergence to an arbitrarily small neighborhood of the set of the cost function optimizers. Our results evident ate that for arbitrarily large compact sets of initial conditions, and arbitrarily small neighborhoods of the optimizer, the controller can be tuned to guarantee convergence taking into account the influence of the Hessian, as well as with tuning parameters that have a fairly clear physical meaning. The influence of the Hessian as a vector field, which is a reflection of the distortion of transient processes in the system, and taking it into account is an urgent task, since it allows for a more flexible impact on the speed of transient processes, and by endowing the system with some damping and smoothing, also for its improved quality.