Stability analysis and control of overhead crane with time-dependent flexible cable

Kamal A.F. Moustafa; Mohamed B. Trabia; Mohammed I. Ismail

Stability analysis and control of overhead crane with time-dependent flexible cable

Kamal A.F. Moustafa
, Mohamed B. Trabia
, Mohammed I. Ismail

Department of Mechanical and Aerospace Engineering

Research output: Contribution to conference › Paper › peer-review

1 Citation (Scopus)

Abstract

A mathematical model of an overhead crane system with load hoisting and a flexible cable is presented. The model consists of a hyperbolic partial differential equation describing the dynamics of the moving flexible cable and ordinary differential equations describing the trolley and payload dynamics. Lyapunov direct method is used to design a model-based boundary control law that achieves trolley and payload desired positions and ensures vibration reduction of the flexible cable. The proposed control law is based on measurable variables for the trolley and the cable. The stability of the closed loop system under this boundary control scheme is proved through the use of inequality and metric analysis.

Original language	English
Pages	1500-1504
Number of pages	5
Publication status	Published - 2005
Event	Proceedings of the 2005 IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM 2005 - Monterey, CA, United States Duration: Jul 24 2005 → Jul 28 2005

Other

Other	Proceedings of the 2005 IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM 2005
Country/Territory	United States
City	Monterey, CA
Period	7/24/05 → 7/28/05

ASJC Scopus subject areas

General Engineering

Cite this

Stability analysis and control of overhead crane with time-dependent flexible cable. / Moustafa, Kamal A.F.; Trabia, Mohamed B.; Ismail, Mohammed I.
2005. 1500-1504 Paper presented at Proceedings of the 2005 IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM 2005, Monterey, CA, United States.

Research output: Contribution to conference › Paper › peer-review

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abstract = "A mathematical model of an overhead crane system with load hoisting and a flexible cable is presented. The model consists of a hyperbolic partial differential equation describing the dynamics of the moving flexible cable and ordinary differential equations describing the trolley and payload dynamics. Lyapunov direct method is used to design a model-based boundary control law that achieves trolley and payload desired positions and ensures vibration reduction of the flexible cable. The proposed control law is based on measurable variables for the trolley and the cable. The stability of the closed loop system under this boundary control scheme is proved through the use of inequality and metric analysis.",

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AU - Moustafa, Kamal A.F.

AU - Trabia, Mohamed B.

AU - Ismail, Mohammed I.

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N2 - A mathematical model of an overhead crane system with load hoisting and a flexible cable is presented. The model consists of a hyperbolic partial differential equation describing the dynamics of the moving flexible cable and ordinary differential equations describing the trolley and payload dynamics. Lyapunov direct method is used to design a model-based boundary control law that achieves trolley and payload desired positions and ensures vibration reduction of the flexible cable. The proposed control law is based on measurable variables for the trolley and the cable. The stability of the closed loop system under this boundary control scheme is proved through the use of inequality and metric analysis.

AB - A mathematical model of an overhead crane system with load hoisting and a flexible cable is presented. The model consists of a hyperbolic partial differential equation describing the dynamics of the moving flexible cable and ordinary differential equations describing the trolley and payload dynamics. Lyapunov direct method is used to design a model-based boundary control law that achieves trolley and payload desired positions and ensures vibration reduction of the flexible cable. The proposed control law is based on measurable variables for the trolley and the cable. The stability of the closed loop system under this boundary control scheme is proved through the use of inequality and metric analysis.

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T2 - Proceedings of the 2005 IEEE/ASME International Conference on Advanced Intelligent Mechatronics, AIM 2005

Y2 - 24 July 2005 through 28 July 2005

ER -

Stability analysis and control of overhead crane with time-dependent flexible cable

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ASJC Scopus subject areas

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