Modeling and control of low frequency dynamics of a smart system

Mohit Kant, Arti Motsara, Arun P. Parameswaran

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Background/Objectives: Active vibration control is an important aspect in mechatronic system dynamics and control. The objective of this manuscript is to present a classical PI controller in order to control the vibrations of a piezoelectric laminate flexible cantilever beam when excited by various signals. Methods/Statistical analysis: Finite element modeling techniques are employed to analytically develop the mathematical model of the smart system which replicates the low frequency system dynamics. The sensor, exciter and control actuator dynamics are modeled as well. The programming platform selected for developing the math model is MATLAB. The developed model was exported to SIMULINK platform for the controller design wherein classical PI control technique is implemented. Findings: The developed model is verified for its accuracy from its frequency response to free vibration condition which showed a close match between the resonant frequencies of the model with that derived from theory of vibrations. PI controller is the most commonly used controller worldwide due to its ease in computation as well as cost effectiveness. Its efficiency is proved in this manuscript when the system was subjected to free vibration in open loop as well as with the controller in loop. Further, as in practical cases, the system was also subjected to harmonic excitations at the dominant resonant frequencies and here as well, the controller was highly efficient in damping out the vibrations. Application/Improvements: The work presented in this manuscript can be extrapolated to any fixed-free system in aerospace, defence as well as heavy industries. The performance of the active controller can be further improved by opting for math intensive robust control strategies.

Original languageEnglish
Article number101926
JournalIndian Journal of Science and Technology
Volume9
Issue number44
DOIs
Publication statusPublished - 2016

Fingerprint

Controllers
Natural frequencies
Dynamical systems
Mechatronics
Cantilever beams
Vibration control
Cost effectiveness
Robust control
MATLAB
Vibrations (mechanical)
Frequency response
Laminates
Statistical methods
Actuators
Damping
Mathematical models
Control systems
Sensors
Industry

All Science Journal Classification (ASJC) codes

  • General

Cite this

@article{b56b17ffd29b4a5fb977e24a5cb4e149,
title = "Modeling and control of low frequency dynamics of a smart system",
abstract = "Background/Objectives: Active vibration control is an important aspect in mechatronic system dynamics and control. The objective of this manuscript is to present a classical PI controller in order to control the vibrations of a piezoelectric laminate flexible cantilever beam when excited by various signals. Methods/Statistical analysis: Finite element modeling techniques are employed to analytically develop the mathematical model of the smart system which replicates the low frequency system dynamics. The sensor, exciter and control actuator dynamics are modeled as well. The programming platform selected for developing the math model is MATLAB. The developed model was exported to SIMULINK platform for the controller design wherein classical PI control technique is implemented. Findings: The developed model is verified for its accuracy from its frequency response to free vibration condition which showed a close match between the resonant frequencies of the model with that derived from theory of vibrations. PI controller is the most commonly used controller worldwide due to its ease in computation as well as cost effectiveness. Its efficiency is proved in this manuscript when the system was subjected to free vibration in open loop as well as with the controller in loop. Further, as in practical cases, the system was also subjected to harmonic excitations at the dominant resonant frequencies and here as well, the controller was highly efficient in damping out the vibrations. Application/Improvements: The work presented in this manuscript can be extrapolated to any fixed-free system in aerospace, defence as well as heavy industries. The performance of the active controller can be further improved by opting for math intensive robust control strategies.",
author = "Mohit Kant and Arti Motsara and Parameswaran, {Arun P.}",
year = "2016",
doi = "10.17485/ijst/2016/v9i44/101926",
language = "English",
volume = "9",
journal = "Indian Journal of Science and Technology",
issn = "0974-6846",
publisher = "Indian Society for Education and Environment",
number = "44",

}

Modeling and control of low frequency dynamics of a smart system. / Kant, Mohit; Motsara, Arti; Parameswaran, Arun P.

In: Indian Journal of Science and Technology, Vol. 9, No. 44, 101926, 2016.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Modeling and control of low frequency dynamics of a smart system

AU - Kant, Mohit

AU - Motsara, Arti

AU - Parameswaran, Arun P.

PY - 2016

Y1 - 2016

N2 - Background/Objectives: Active vibration control is an important aspect in mechatronic system dynamics and control. The objective of this manuscript is to present a classical PI controller in order to control the vibrations of a piezoelectric laminate flexible cantilever beam when excited by various signals. Methods/Statistical analysis: Finite element modeling techniques are employed to analytically develop the mathematical model of the smart system which replicates the low frequency system dynamics. The sensor, exciter and control actuator dynamics are modeled as well. The programming platform selected for developing the math model is MATLAB. The developed model was exported to SIMULINK platform for the controller design wherein classical PI control technique is implemented. Findings: The developed model is verified for its accuracy from its frequency response to free vibration condition which showed a close match between the resonant frequencies of the model with that derived from theory of vibrations. PI controller is the most commonly used controller worldwide due to its ease in computation as well as cost effectiveness. Its efficiency is proved in this manuscript when the system was subjected to free vibration in open loop as well as with the controller in loop. Further, as in practical cases, the system was also subjected to harmonic excitations at the dominant resonant frequencies and here as well, the controller was highly efficient in damping out the vibrations. Application/Improvements: The work presented in this manuscript can be extrapolated to any fixed-free system in aerospace, defence as well as heavy industries. The performance of the active controller can be further improved by opting for math intensive robust control strategies.

AB - Background/Objectives: Active vibration control is an important aspect in mechatronic system dynamics and control. The objective of this manuscript is to present a classical PI controller in order to control the vibrations of a piezoelectric laminate flexible cantilever beam when excited by various signals. Methods/Statistical analysis: Finite element modeling techniques are employed to analytically develop the mathematical model of the smart system which replicates the low frequency system dynamics. The sensor, exciter and control actuator dynamics are modeled as well. The programming platform selected for developing the math model is MATLAB. The developed model was exported to SIMULINK platform for the controller design wherein classical PI control technique is implemented. Findings: The developed model is verified for its accuracy from its frequency response to free vibration condition which showed a close match between the resonant frequencies of the model with that derived from theory of vibrations. PI controller is the most commonly used controller worldwide due to its ease in computation as well as cost effectiveness. Its efficiency is proved in this manuscript when the system was subjected to free vibration in open loop as well as with the controller in loop. Further, as in practical cases, the system was also subjected to harmonic excitations at the dominant resonant frequencies and here as well, the controller was highly efficient in damping out the vibrations. Application/Improvements: The work presented in this manuscript can be extrapolated to any fixed-free system in aerospace, defence as well as heavy industries. The performance of the active controller can be further improved by opting for math intensive robust control strategies.

UR - http://www.scopus.com/inward/record.url?scp=85001967807&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85001967807&partnerID=8YFLogxK

U2 - 10.17485/ijst/2016/v9i44/101926

DO - 10.17485/ijst/2016/v9i44/101926

M3 - Article

VL - 9

JO - Indian Journal of Science and Technology

JF - Indian Journal of Science and Technology

SN - 0974-6846

IS - 44

M1 - 101926

ER -