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Design of a control system using linear matrix inequalities for the active vibration control of a plate

Design of a control system using linear matrix inequalities for the active vibration control of a plate
Design of a control system using linear matrix inequalities for the active vibration control of a plate
The study of algorithms for active vibration control in smart structures is an area of interest, mainly due to the demand for better performance of mechanical systems, such as aircraft and aerospace structures. Smart structures, formed using actuators and sensors, can improve the dynamic performance with the application of several kinds of controllers. This article describes the application of a technique based on linear matrix inequalities (LMI) to design an active control system. The positioning of the actuators, the design of a robust state feedback controller and the design of an observer are all achieved using LMI. The following are considered in the controller design: limited actuator input, bounded output (energy) and robustness to parametric uncertainties. Active vibration control of a flat plate is chosen as an application example. The model is identified using experimental data by an eigensystem realization algorithm (ERA) and the placement of the two piezoelectric actuators and single sensor is determined using a finite element model (FEM) and an optimization procedure. A robust controller for active damping is designed using an LMI framework, and a reduced model with observation and control spillover effects is implemented using a computer. The simulation results demonstrate the efficacy of the approach, and show that the control system increases the damping in some of the modes.
robust control, LMI, active vibration control, smart structures
1045-389X
81-93
Da Silva, Samuel
cb96331f-9da4-4640-8a39-1b0de5b9c355
Lopes Júnior, Vincente
da68d80a-12b0-4098-a6cc-b4c55ce11437
Brennan, Michael J.
87c7bca3-a9e5-46aa-9153-34c712355a13
Da Silva, Samuel
cb96331f-9da4-4640-8a39-1b0de5b9c355
Lopes Júnior, Vincente
da68d80a-12b0-4098-a6cc-b4c55ce11437
Brennan, Michael J.
87c7bca3-a9e5-46aa-9153-34c712355a13

Da Silva, Samuel, Lopes Júnior, Vincente and Brennan, Michael J. (2006) Design of a control system using linear matrix inequalities for the active vibration control of a plate. Journal of Intelligent Materials Systems and Structures, 17 (1), 81-93. (doi:10.1177/1045389X06056341).

Record type: Article

Abstract

The study of algorithms for active vibration control in smart structures is an area of interest, mainly due to the demand for better performance of mechanical systems, such as aircraft and aerospace structures. Smart structures, formed using actuators and sensors, can improve the dynamic performance with the application of several kinds of controllers. This article describes the application of a technique based on linear matrix inequalities (LMI) to design an active control system. The positioning of the actuators, the design of a robust state feedback controller and the design of an observer are all achieved using LMI. The following are considered in the controller design: limited actuator input, bounded output (energy) and robustness to parametric uncertainties. Active vibration control of a flat plate is chosen as an application example. The model is identified using experimental data by an eigensystem realization algorithm (ERA) and the placement of the two piezoelectric actuators and single sensor is determined using a finite element model (FEM) and an optimization procedure. A robust controller for active damping is designed using an LMI framework, and a reduced model with observation and control spillover effects is implemented using a computer. The simulation results demonstrate the efficacy of the approach, and show that the control system increases the damping in some of the modes.

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More information

Published date: 2006
Keywords: robust control, LMI, active vibration control, smart structures

Identifiers

Local EPrints ID: 43502
URI: https://eprints.soton.ac.uk/id/eprint/43502
ISSN: 1045-389X
PURE UUID: 909725e2-c296-44ed-9803-4cb40a004665

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Date deposited: 31 Jan 2007
Last modified: 13 Mar 2019 21:09

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Contributors

Author: Samuel Da Silva
Author: Vincente Lopes Júnior
Author: Michael J. Brennan

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