Control of flexible structures with spatially varying disturbance: Spatial H∞ approach

Dunant Halim

doi:10.1109/CDC.2004.1429610

Control of flexible structures with spatially varying disturbance: Spatial H_∞ approach

Dunant Halim

Research output: Journal Publication › Conference article › peer-review

3 Citations (Scopus)

Abstract

This paper introduces a new optimal H_∞ control framework for controlling vibration of flexible structures with spatially varying disturbance. The spatially distributed nature of disturbance is taken into account in control design by introducing the concept of spatial H _∞ norm for systems with spatially distributed input. A control design approach is then introduced to allow a systematic control design for controlling structural vibration caused by spatially distributed disturbance. Simulation studies on a flexible beam demonstrate that the proposed spatial control can minimise vibration for spatially varying bending moment disturbance.

Original language	English
Article number	FrC01.2
Pages (from-to)	5065-5070
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	5
DOIs	https://doi.org/10.1109/CDC.2004.1429610
Publication status	Published - 2004
Externally published	Yes
Event	2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas Duration: 14 Dec 2004 → 17 Dec 2004

Keywords

Control design
Distributed-parameter systems
Disturbance rejection
Flexible structures
H norm
Vibration

ASJC Scopus subject areas

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2004.1429610

Cite this

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abstract = "This paper introduces a new optimal H∞ control framework for controlling vibration of flexible structures with spatially varying disturbance. The spatially distributed nature of disturbance is taken into account in control design by introducing the concept of spatial H ∞ norm for systems with spatially distributed input. A control design approach is then introduced to allow a systematic control design for controlling structural vibration caused by spatially distributed disturbance. Simulation studies on a flexible beam demonstrate that the proposed spatial control can minimise vibration for spatially varying bending moment disturbance.",

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AB - This paper introduces a new optimal H∞ control framework for controlling vibration of flexible structures with spatially varying disturbance. The spatially distributed nature of disturbance is taken into account in control design by introducing the concept of spatial H ∞ norm for systems with spatially distributed input. A control design approach is then introduced to allow a systematic control design for controlling structural vibration caused by spatially distributed disturbance. Simulation studies on a flexible beam demonstrate that the proposed spatial control can minimise vibration for spatially varying bending moment disturbance.

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KW - Distributed-parameter systems

KW - Disturbance rejection

KW - Flexible structures

KW - H norm

KW - Vibration

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