Numerical evaluation of sine-Gordon chain energy control via subdomains state feedback under quantization and time sampling

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Numerical evaluation of sine-Gordon chain energy control via subdomains state feedback under quantization and time sampling. / Andrievsky, Boris; Orlov, Yury.

In: Cybernetics and Physics, Vol. 8, No. 1, 2019, p. 18-28.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{72c466e424c1481186afe40527f7a26e,

title = "Numerical evaluation of sine-Gordon chain energy control via subdomains state feedback under quantization and time sampling",

abstract = "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 sam-pling) 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.",

keywords = "Data rate constraints, Energy control, Quantization, Sine-Gordon equation, Speed-gradient, управление энергией, уравнение синус-Гордон, скоростной градиен, квантование, ограничения скорости передачи данных",

author = "Boris Andrievsky and Yury Orlov",

year = "2019",

doi = "10.35470/2226-4116-2019-8-1-18-28",

language = "English",

volume = "8",

pages = "18--28",

journal = "Cybernetics and Physics",

issn = "2223-7038",

publisher = "IPACS",

number = "1",

}

RIS

TY - JOUR

T1 - Numerical evaluation of sine-Gordon chain energy control via subdomains state feedback under quantization and time sampling

AU - Andrievsky, Boris

AU - Orlov, Yury

PY - 2019

Y1 - 2019

N2 - 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 sam-pling) 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.

AB - 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 sam-pling) 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.

KW - Data rate constraints

KW - Energy control

KW - Quantization

KW - Sine-Gordon equation

KW - Speed-gradient

KW - управление энергией, уравнение синус-Гордон, скоростной градиен, квантование, ограничения скорости передачи данных

UR - http://www.scopus.com/inward/record.url?scp=85068650146&partnerID=8YFLogxK

U2 - 10.35470/2226-4116-2019-8-1-18-28

DO - 10.35470/2226-4116-2019-8-1-18-28

M3 - Article

AN - SCOPUS:85068650146

VL - 8

SP - 18

EP - 28

JO - Cybernetics and Physics

JF - Cybernetics and Physics

SN - 2223-7038

IS - 1

ER -

ID: 86554339