Adaptive Approach to Solving a Two-Point Boundary Value Problem under Partial Uncertainty of the Disturbance Field

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Adaptive Approach to Solving a Two-Point Boundary Value Problem under Partial Uncertainty of the Disturbance Field. / Вавилов, Сергей Анатольевич.

в: Automation and Remote Control, Том 82, № 1, 82:1, 01.2021, стр. 93-101.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{e802dd37c711444eab092bda1eccbbbd,

title = "Adaptive Approach to Solving a Two-Point Boundary Value Problem under Partial Uncertainty of the Disturbance Field",

abstract = "We consider the construction of an adaptive algorithm for solving a boundary value problem ensuring that a trajectory issuing from some point hits a finite-size target at a given time under partial uncertainty in the disturbance field. Although the disturbance field has a component that is unknown in explicit form but is still important for hitting a target of given size, we have constructed an iteration procedure for solving the problem in finitely many steps under a number of conditions. The algorithm is based on trial trajectories and uses the measurement of their deviations from the target center as a feedback; this proves sufficient to compensate for the incompleteness of information about the external disturbance field",

keywords = "adaptive control, two-point boundary value problem, uncertainty conditions, differential equations, adaptive control, uncertainty conditions, two-point boundary value problem, differential equations, two-point boundary value problems",

author = "Вавилов, {Сергей Анатольевич}",

year = "2021",

month = jan,

doi = "10.1134/s0005117921010069",

language = "English",

volume = "82",

pages = "93--101",

journal = "Automation and Remote Control",

issn = "0005-1179",

publisher = "МАИК {"}Наука/Интерпериодика{"}",

number = "1",

}

RIS

TY - JOUR

T1 - Adaptive Approach to Solving a Two-Point Boundary Value Problem under Partial Uncertainty of the Disturbance Field

AU - Вавилов, Сергей Анатольевич

PY - 2021/1

Y1 - 2021/1

N2 - We consider the construction of an adaptive algorithm for solving a boundary value problem ensuring that a trajectory issuing from some point hits a finite-size target at a given time under partial uncertainty in the disturbance field. Although the disturbance field has a component that is unknown in explicit form but is still important for hitting a target of given size, we have constructed an iteration procedure for solving the problem in finitely many steps under a number of conditions. The algorithm is based on trial trajectories and uses the measurement of their deviations from the target center as a feedback; this proves sufficient to compensate for the incompleteness of information about the external disturbance field

AB - We consider the construction of an adaptive algorithm for solving a boundary value problem ensuring that a trajectory issuing from some point hits a finite-size target at a given time under partial uncertainty in the disturbance field. Although the disturbance field has a component that is unknown in explicit form but is still important for hitting a target of given size, we have constructed an iteration procedure for solving the problem in finitely many steps under a number of conditions. The algorithm is based on trial trajectories and uses the measurement of their deviations from the target center as a feedback; this proves sufficient to compensate for the incompleteness of information about the external disturbance field

KW - adaptive control, two-point boundary value problem

KW - uncertainty conditions

KW - differential equations

KW - adaptive control

KW - uncertainty conditions

KW - two-point boundary value problem

KW - differential equations

KW - two-point boundary value problems

UR - http://www.scopus.com/inward/record.url?scp=85101769177&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/358ffc7c-aa4c-3782-9c07-c3b64d631c76/

U2 - 10.1134/s0005117921010069

DO - 10.1134/s0005117921010069

M3 - Article

VL - 82

SP - 93

EP - 101

JO - Automation and Remote Control

JF - Automation and Remote Control

SN - 0005-1179

IS - 1

M1 - 82:1

ER -

ID: 74652783