On the attitude stabilization of a rigid body under control with distributed delay

Standard

On the attitude stabilization of a rigid body under control with distributed delay. / Александров, Александр Юрьевич ; Тихонов, Алексей Александрович.

In: Mechanics Based Design of Structures and Machines, Vol. 51, No. 4, 2023, p. 2241-2250.

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

BibTeX

@article{6cc45d93df3b4cc49973b4b2ec9d6024,

title = "On the attitude stabilization of a rigid body under control with distributed delay",

abstract = "The problem of attitude stabilization of a rigid body is under consideration. The issue of realizing such a control system of the PID-controller type with distributed delay (integral term) is addressed. A theorem on the asymptotic stability of the stabilized position of the body, which justifies the possibility of constructing the desired control system, has been proven. The effectiveness of the constructed control with a distributed delay is confirmed by numerical modeling.",

keywords = "Asymptotic stability, attitude control, decomposition, distributed delay, Lyapunov–Krasovskii functional, rigid body, Krasovskii functional, Lyapunov&#8211",

author = "Александров, {Александр Юрьевич} and Тихонов, {Алексей Александрович}",

year = "2023",

doi = "10.1080/15397734.2021.1891935",

language = "English",

volume = "51",

pages = "2241--2250",

journal = "Mechanics Based Design of Structures and Machines",

issn = "1539-7734",

publisher = "Taylor & Francis",

number = "4",

}

RIS

TY - JOUR

T1 - On the attitude stabilization of a rigid body under control with distributed delay

AU - Александров, Александр Юрьевич

AU - Тихонов, Алексей Александрович

PY - 2023

Y1 - 2023

N2 - The problem of attitude stabilization of a rigid body is under consideration. The issue of realizing such a control system of the PID-controller type with distributed delay (integral term) is addressed. A theorem on the asymptotic stability of the stabilized position of the body, which justifies the possibility of constructing the desired control system, has been proven. The effectiveness of the constructed control with a distributed delay is confirmed by numerical modeling.

AB - The problem of attitude stabilization of a rigid body is under consideration. The issue of realizing such a control system of the PID-controller type with distributed delay (integral term) is addressed. A theorem on the asymptotic stability of the stabilized position of the body, which justifies the possibility of constructing the desired control system, has been proven. The effectiveness of the constructed control with a distributed delay is confirmed by numerical modeling.

KW - Asymptotic stability

KW - attitude control

KW - decomposition

KW - distributed delay

KW - Lyapunov–Krasovskii functional

KW - rigid body

KW - Krasovskii functional

KW - Lyapunov&#8211

UR - http://www.scopus.com/inward/record.url?scp=85101905745&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/d116f374-a3f7-399c-ad40-9ec19c062398/

U2 - 10.1080/15397734.2021.1891935

DO - 10.1080/15397734.2021.1891935

M3 - Article

AN - SCOPUS:85101905745

VL - 51

SP - 2241

EP - 2250

JO - Mechanics Based Design of Structures and Machines

JF - Mechanics Based Design of Structures and Machines

SN - 1539-7734

IS - 4

ER -

ID: 75032519