Stabilization of an Overhead Crane System With Infinite Memory in the Boundary Control

Boumediene Chentouf; Sabeur Mansouri

doi:10.1109/TAC.2022.3206250

Stabilization of an Overhead Crane System With Infinite Memory in the Boundary Control

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

Abstract

This paper is concerned with the boundary stabilization problem of an overhead crane with infinite memory. We show, under some assumptions of the memory kernel, that the problem is well-posed in the sense of semigroups theory. Furthermore, the uniform exponential stability of the solutions to the system is established by means of the frequency-domain method.

Original language	English
Pages (from-to)	1-6
Number of pages	6
Journal	IEEE Transactions on Automatic Control
DOIs	https://doi.org/10.1109/TAC.2022.3206250
Publication status	Accepted/In press - 2022
Externally published	Yes

Keywords

Boundary control
Closed loop systems
Control theory
Cranes
exponential stability
Hilbert space
infinite memory
Kernel
Mathematical models
minimal state
overhead crane
Stability

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TAC.2022.3206250

Cite this

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abstract = "This paper is concerned with the boundary stabilization problem of an overhead crane with infinite memory. We show, under some assumptions of the memory kernel, that the problem is well-posed in the sense of semigroups theory. Furthermore, the uniform exponential stability of the solutions to the system is established by means of the frequency-domain method.",

keywords = "Boundary control, Closed loop systems, Control theory, Cranes, exponential stability, Hilbert space, infinite memory, Kernel, Mathematical models, minimal state, overhead crane, Stability",

author = "Boumediene Chentouf and Sabeur Mansouri",

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AB - This paper is concerned with the boundary stabilization problem of an overhead crane with infinite memory. We show, under some assumptions of the memory kernel, that the problem is well-posed in the sense of semigroups theory. Furthermore, the uniform exponential stability of the solutions to the system is established by means of the frequency-domain method.

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KW - Closed loop systems

KW - Control theory

KW - Cranes

KW - exponential stability

KW - Hilbert space

KW - infinite memory

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KW - Mathematical models

KW - minimal state

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KW - Stability

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Stabilization of an Overhead Crane System With Infinite Memory in the Boundary Control

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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