TY - GEN

T1 - In-domain energy control of the sine-Gordon model

AU - Orlov, Yury V.

AU - Fradkov, Alexander L.

AU - Andrievsky, Boris

PY - 2018/11/27

Y1 - 2018/11/27

N2 - The primary concern of the present investigation is the energy control of the nonlinear sine-Gordon model driven by several in-domain actuators. The speed-gradient method that has corroborated its utility for the sine-Gordon model, controlled through the manipulable parameters of the external electrical field and boundary actuation, is now generalized to the in-domain actuation, aiming to pump/dissipate the energy of the model to a desired level. Capabilities of the method are illustrated in numerical simulations.

AB - The primary concern of the present investigation is the energy control of the nonlinear sine-Gordon model driven by several in-domain actuators. The speed-gradient method that has corroborated its utility for the sine-Gordon model, controlled through the manipulable parameters of the external electrical field and boundary actuation, is now generalized to the in-domain actuation, aiming to pump/dissipate the energy of the model to a desired level. Capabilities of the method are illustrated in numerical simulations.

KW - energy control

KW - sine-Gordon equation

KW - speedgradient

UR - http://www.scopus.com/inward/record.url?scp=85059810994&partnerID=8YFLogxK

U2 - 10.23919/ECC.2018.8550613

DO - 10.23919/ECC.2018.8550613

M3 - Conference contribution

AN - SCOPUS:85059810994

SP - 3019

EP - 3024

BT - 2018 European Control Conference, ECC 2018

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 16th European Control Conference, ECC 2018

Y2 - 12 June 2018 through 15 June 2018

ER -