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Performance and robust stability trade-off in minimax LQG control of vibrations in flexible structures

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Performance and robust stability trade-off in minimax LQG control of vibrations in flexible structures. / Montazeri, Allahyar; Poshtan, Javad; Choobdar, Amir.

In: Engineering Structures, Vol. 31, No. 10, 10.2009, p. 2407-2413.

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Montazeri, Allahyar ; Poshtan, Javad ; Choobdar, Amir. / Performance and robust stability trade-off in minimax LQG control of vibrations in flexible structures. In: Engineering Structures. 2009 ; Vol. 31, No. 10. pp. 2407-2413.

Bibtex

@article{0e822e99127d4b278f451d8fc8ab8961,
title = "Performance and robust stability trade-off in minimax LQG control of vibrations in flexible structures",
abstract = "An optimal robust Minimax LQG control of vibration of a flexible beam is studied in this paper. The first six modes of the beam in the frequency range of 0-800 Hz are selected for control purposes. Among these modes, three modes in the frequency range of 100-400 Hz are used for control, while the other three modes are left as the uncertainty of modeling. Both the model and the uncertainty are measured based on experimental data. The nominal model is identified from frequency response data and the uncertainty is presented by a frequency weighted multiplicative modeling method. For the augmented plant consisting of the nominal model and its accompanied uncertainty, a Minimax LQG controller is designed. A trade-off between robust stability and robust performance is shown by selecting two different choices of uncertainty modeling. Simulation results show that the proposed robust controller increases the damping of the system in its resonance frequencies. (C) 2009 Elsevier Ltd. All rights reserved.",
keywords = "SYSTEMS, EXPERIMENTAL IMPLEMENTATION, Robust performance, Minimax LQG control, Active vibration control, PIEZOELECTRIC-LAMINATE BEAM, ACTIVE NOISE-CONTROL, DYNAMICS, Robust stability, ADAPTIVE ALGORITHMS",
author = "Allahyar Montazeri and Javad Poshtan and Amir Choobdar",
year = "2009",
month = oct,
doi = "10.1016/j.engstruct.2009.05.011",
language = "English",
volume = "31",
pages = "2407--2413",
journal = "Engineering Structures",
issn = "0141-0296",
publisher = "Elsevier BV",
number = "10",

}

RIS

TY - JOUR

T1 - Performance and robust stability trade-off in minimax LQG control of vibrations in flexible structures

AU - Montazeri, Allahyar

AU - Poshtan, Javad

AU - Choobdar, Amir

PY - 2009/10

Y1 - 2009/10

N2 - An optimal robust Minimax LQG control of vibration of a flexible beam is studied in this paper. The first six modes of the beam in the frequency range of 0-800 Hz are selected for control purposes. Among these modes, three modes in the frequency range of 100-400 Hz are used for control, while the other three modes are left as the uncertainty of modeling. Both the model and the uncertainty are measured based on experimental data. The nominal model is identified from frequency response data and the uncertainty is presented by a frequency weighted multiplicative modeling method. For the augmented plant consisting of the nominal model and its accompanied uncertainty, a Minimax LQG controller is designed. A trade-off between robust stability and robust performance is shown by selecting two different choices of uncertainty modeling. Simulation results show that the proposed robust controller increases the damping of the system in its resonance frequencies. (C) 2009 Elsevier Ltd. All rights reserved.

AB - An optimal robust Minimax LQG control of vibration of a flexible beam is studied in this paper. The first six modes of the beam in the frequency range of 0-800 Hz are selected for control purposes. Among these modes, three modes in the frequency range of 100-400 Hz are used for control, while the other three modes are left as the uncertainty of modeling. Both the model and the uncertainty are measured based on experimental data. The nominal model is identified from frequency response data and the uncertainty is presented by a frequency weighted multiplicative modeling method. For the augmented plant consisting of the nominal model and its accompanied uncertainty, a Minimax LQG controller is designed. A trade-off between robust stability and robust performance is shown by selecting two different choices of uncertainty modeling. Simulation results show that the proposed robust controller increases the damping of the system in its resonance frequencies. (C) 2009 Elsevier Ltd. All rights reserved.

KW - SYSTEMS

KW - EXPERIMENTAL IMPLEMENTATION

KW - Robust performance

KW - Minimax LQG control

KW - Active vibration control

KW - PIEZOELECTRIC-LAMINATE BEAM

KW - ACTIVE NOISE-CONTROL

KW - DYNAMICS

KW - Robust stability

KW - ADAPTIVE ALGORITHMS

U2 - 10.1016/j.engstruct.2009.05.011

DO - 10.1016/j.engstruct.2009.05.011

M3 - Journal article

VL - 31

SP - 2407

EP - 2413

JO - Engineering Structures

JF - Engineering Structures

SN - 0141-0296

IS - 10

ER -