Open AccessNumerical evaluation of sine-Gordon chain energy control via subdomains state feedback under quantizationand time sampling
Author(s) -
Boris Andrievsky,
Yury Orlov
Publication year - 2019
Publication title -
cybernetics and physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.267
H-Index - 8
eISSN - 2226-4116
pISSN - 2223-7038
DOI - 10.35470/2226-4116-2019-8-1-18-28
Subject(s) - quantization (signal processing) , control theory (sociology) , computer science , binary number , sampling (signal processing) , signal (programming language) , algorithm , mathematics , telecommunications , detector , control (management) , artificial intelligence , arithmetic , programming language
The paper is devoted to the numerical performance evaluation of the speed-gradient algorithms, recently developed in (Orlov et al., 2018; Orlov et al., 2019) for controlling the energy of the sine-Gordon spatially distributed systems with several in-domain actuators. The influence of the level quantization of the state feedback control signal (possibly coupled to the time sampling) on the steady-state energy error and the closed loop system stability is investigated in the simulation study. The following types of quantization are taken into account: sampling-in-time control signal quantization, the level quantization for control, continuous in time; control signal quantization on level jointly with time sampling; control signal transmission over the binary communication channel with time-invariant first order coder; control signal transmission over the binary communication channel with first order coder and time-based zooming; control signal transmission over the binary communication channel with adaptive first order coder. A resulting impact on the closed-loop performance in question is concluded for each type of the quantization involved.