Abstract
In this work, the equation of motion of a cantilever beam with two piezoelectric patches, one acting as a sensor and the other as an actuator was first formulated, and the sensor induced voltage, representing the strain in the beam, was calculated. The beam governing equation was converted into a state space model and its response under active vibration control was studied through numerical simulations. Two types of control methods were used, velocity feedback control (VFC) and the Linear Quadratic Regulator (LQR). The effects of varying controller gains and weighting matrices on the beam vibration amplitude and settling time, as well as the induced voltage in the actuator were investigated. The LQR controller was found to be more effective than the VFC as the maximum induced actuator voltage was significantly lower. For the LQR controller weighting matrices Q and R, it was found that increasing Q reduces settling time and increases the actuator induced voltage, while increasing R, increases settling time. A calculation method for optimizing sensor placement and actuator length is also presented. The results indicate that the optimal actuator length is about 60% of the beam length.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of 2014 International Conference on Modelling, Identification and Control, ICMIC 2014 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 88-93 |
| Number of pages | 6 |
| ISBN (Print) | 9780956715746 |
| DOIs | |
| Publication status | Published - 23 Jan 2015 |
| Event | 6th International Conference on Modelling, Identification and Control, ICMIC 2014 - Melbourne Duration: 3 Dec 2014 → 5 Dec 2014 |
Other
| Other | 6th International Conference on Modelling, Identification and Control, ICMIC 2014 |
|---|---|
| City | Melbourne |
| Period | 3/12/14 → 5/12/14 |
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Keywords
- Active vibration control
- Actuator
- LQR
- Piezoelectric patch
- Sensor
- Smart material
ASJC Scopus subject areas
- Modelling and Simulation
- Control and Systems Engineering
Cite this
Optimizing vibration control in a cantilever beam with piezoelectric patches. / Mohammadi, Hamed; Mohamed Haris, Sallehuddin.
Proceedings of 2014 International Conference on Modelling, Identification and Control, ICMIC 2014. Institute of Electrical and Electronics Engineers Inc., 2015. p. 88-93 7020733.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Optimizing vibration control in a cantilever beam with piezoelectric patches
AU - Mohammadi, Hamed
AU - Mohamed Haris, Sallehuddin
PY - 2015/1/23
Y1 - 2015/1/23
N2 - In this work, the equation of motion of a cantilever beam with two piezoelectric patches, one acting as a sensor and the other as an actuator was first formulated, and the sensor induced voltage, representing the strain in the beam, was calculated. The beam governing equation was converted into a state space model and its response under active vibration control was studied through numerical simulations. Two types of control methods were used, velocity feedback control (VFC) and the Linear Quadratic Regulator (LQR). The effects of varying controller gains and weighting matrices on the beam vibration amplitude and settling time, as well as the induced voltage in the actuator were investigated. The LQR controller was found to be more effective than the VFC as the maximum induced actuator voltage was significantly lower. For the LQR controller weighting matrices Q and R, it was found that increasing Q reduces settling time and increases the actuator induced voltage, while increasing R, increases settling time. A calculation method for optimizing sensor placement and actuator length is also presented. The results indicate that the optimal actuator length is about 60% of the beam length.
AB - In this work, the equation of motion of a cantilever beam with two piezoelectric patches, one acting as a sensor and the other as an actuator was first formulated, and the sensor induced voltage, representing the strain in the beam, was calculated. The beam governing equation was converted into a state space model and its response under active vibration control was studied through numerical simulations. Two types of control methods were used, velocity feedback control (VFC) and the Linear Quadratic Regulator (LQR). The effects of varying controller gains and weighting matrices on the beam vibration amplitude and settling time, as well as the induced voltage in the actuator were investigated. The LQR controller was found to be more effective than the VFC as the maximum induced actuator voltage was significantly lower. For the LQR controller weighting matrices Q and R, it was found that increasing Q reduces settling time and increases the actuator induced voltage, while increasing R, increases settling time. A calculation method for optimizing sensor placement and actuator length is also presented. The results indicate that the optimal actuator length is about 60% of the beam length.
KW - Active vibration control
KW - Actuator
KW - LQR
KW - Piezoelectric patch
KW - Sensor
KW - Smart material
UR - http://www.scopus.com/inward/record.url?scp=84923471527&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84923471527&partnerID=8YFLogxK
U2 - 10.1109/ICMIC.2014.7020733
DO - 10.1109/ICMIC.2014.7020733
M3 - Conference contribution
AN - SCOPUS:84923471527
SN - 9780956715746
SP - 88
EP - 93
BT - Proceedings of 2014 International Conference on Modelling, Identification and Control, ICMIC 2014
PB - Institute of Electrical and Electronics Engineers Inc.
ER -