Reduction of structural weight, costs and complexity of a control system in the active vibration reduction of flexible structures

A. H. Daraji, J. M. Hale

Research output: Contribution to journalArticle

4 Citations (Scopus)
1 Downloads (Pure)

Abstract

This paper concerns the active vibration reduction of a flexible structure with discrete piezoelectric sensors and actuators in collocated pairs bonded to its surface. In this study, a new fitness and objective function is proposed to determine the optimal number of actuators, based on variations in the average closed loop dB gain margin reduction for all of the optimal piezoelectric pairs and on the modes that are required to be attenuated using the optimal linear quadratic control scheme. The aim of this study is to find the minimum number of optimally located sensor/actuator pairs, which can achieve the same vibration reduction as a greater number, in order to reduce the cost, complexity and power requirement of the control system. This optimization was done using a genetic algorithm. The technique may be applied to any lightly damped structure, and is demonstrated here by attenuating the first six vibration modes of a flat cantilever plate. It is shown that two sensor/actuator pairs, located and controlled optimally, give almost the same vibration reduction as ten pairs. These results are validated by comparing the open and closed loop time responses and actuator feedback voltages for various numbers of piezoelectric pairs using the ANSYS finite element package and a proportional differential control scheme.

Original languageEnglish
Article number095013
JournalSmart Materials and Structures
Volume23
Issue number9
DOIs
Publication statusPublished - 24 Jul 2014
Externally publishedYes

Fingerprint

structural weight
Flexible structures
Actuators
actuators
costs
Control systems
vibration
Costs
sensors
Sensors
cantilever plates
fitness
time response
genetic algorithms
margins
vibration mode
Genetic algorithms
Feedback
requirements
optimization

Keywords

  • control
  • genetic algorithm
  • optimal
  • piezoelectric
  • vibration

ASJC Scopus subject areas

  • Mechanical Engineering
  • Aerospace Engineering
  • Automotive Engineering
  • Civil and Structural Engineering
  • Control and Systems Engineering

Cite this

@article{1133d02818c94e56917232622b68000f,
title = "Reduction of structural weight, costs and complexity of a control system in the active vibration reduction of flexible structures",
abstract = "This paper concerns the active vibration reduction of a flexible structure with discrete piezoelectric sensors and actuators in collocated pairs bonded to its surface. In this study, a new fitness and objective function is proposed to determine the optimal number of actuators, based on variations in the average closed loop dB gain margin reduction for all of the optimal piezoelectric pairs and on the modes that are required to be attenuated using the optimal linear quadratic control scheme. The aim of this study is to find the minimum number of optimally located sensor/actuator pairs, which can achieve the same vibration reduction as a greater number, in order to reduce the cost, complexity and power requirement of the control system. This optimization was done using a genetic algorithm. The technique may be applied to any lightly damped structure, and is demonstrated here by attenuating the first six vibration modes of a flat cantilever plate. It is shown that two sensor/actuator pairs, located and controlled optimally, give almost the same vibration reduction as ten pairs. These results are validated by comparing the open and closed loop time responses and actuator feedback voltages for various numbers of piezoelectric pairs using the ANSYS finite element package and a proportional differential control scheme.",
keywords = "control, genetic algorithm, optimal, piezoelectric, vibration",
author = "Daraji, {A. H.} and Hale, {J. M.}",
year = "2014",
month = "7",
day = "24",
doi = "10.1088/0964-1726/23/9/095013",
language = "English",
volume = "23",
journal = "Smart Materials and Structures",
issn = "0964-1726",
publisher = "IOP Publishing",
number = "9",

}

TY - JOUR

T1 - Reduction of structural weight, costs and complexity of a control system in the active vibration reduction of flexible structures

AU - Daraji, A. H.

AU - Hale, J. M.

PY - 2014/7/24

Y1 - 2014/7/24

N2 - This paper concerns the active vibration reduction of a flexible structure with discrete piezoelectric sensors and actuators in collocated pairs bonded to its surface. In this study, a new fitness and objective function is proposed to determine the optimal number of actuators, based on variations in the average closed loop dB gain margin reduction for all of the optimal piezoelectric pairs and on the modes that are required to be attenuated using the optimal linear quadratic control scheme. The aim of this study is to find the minimum number of optimally located sensor/actuator pairs, which can achieve the same vibration reduction as a greater number, in order to reduce the cost, complexity and power requirement of the control system. This optimization was done using a genetic algorithm. The technique may be applied to any lightly damped structure, and is demonstrated here by attenuating the first six vibration modes of a flat cantilever plate. It is shown that two sensor/actuator pairs, located and controlled optimally, give almost the same vibration reduction as ten pairs. These results are validated by comparing the open and closed loop time responses and actuator feedback voltages for various numbers of piezoelectric pairs using the ANSYS finite element package and a proportional differential control scheme.

AB - This paper concerns the active vibration reduction of a flexible structure with discrete piezoelectric sensors and actuators in collocated pairs bonded to its surface. In this study, a new fitness and objective function is proposed to determine the optimal number of actuators, based on variations in the average closed loop dB gain margin reduction for all of the optimal piezoelectric pairs and on the modes that are required to be attenuated using the optimal linear quadratic control scheme. The aim of this study is to find the minimum number of optimally located sensor/actuator pairs, which can achieve the same vibration reduction as a greater number, in order to reduce the cost, complexity and power requirement of the control system. This optimization was done using a genetic algorithm. The technique may be applied to any lightly damped structure, and is demonstrated here by attenuating the first six vibration modes of a flat cantilever plate. It is shown that two sensor/actuator pairs, located and controlled optimally, give almost the same vibration reduction as ten pairs. These results are validated by comparing the open and closed loop time responses and actuator feedback voltages for various numbers of piezoelectric pairs using the ANSYS finite element package and a proportional differential control scheme.

KW - control

KW - genetic algorithm

KW - optimal

KW - piezoelectric

KW - vibration

UR - http://www.scopus.com/inward/record.url?scp=84906251582&partnerID=8YFLogxK

U2 - 10.1088/0964-1726/23/9/095013

DO - 10.1088/0964-1726/23/9/095013

M3 - Article

VL - 23

JO - Smart Materials and Structures

JF - Smart Materials and Structures

SN - 0964-1726

IS - 9

M1 - 095013

ER -