Active Vibration Control of Flexible Beam using Differential Evolution Optimisation
This paper presents the development of an active
vibration control using direct adaptive controller to suppress the
vibration of a flexible beam system. The controller is realized based
on linear parametric form. Differential evolution optimisation
algorithm is used to optimize the controller using single objective
function by minimizing the mean square error of the observed
vibration signal. Furthermore, an alternative approach is developed to
systematically search for the best controller model structure together
with it parameter values. The performance of the control scheme is
presented and analysed in both time and frequency domain.
Simulation results demonstrate that the proposed scheme is able to
suppress the unwanted vibration effectively.
[1] F. Christopher, Handbook of Noise and Vibration Control. Virginia:
John Wiley & Sons Inc, 2007.
[2] P. Lueg, "Process of Silencing Sound Oscillations," U.S. Patent 2 043
416, 1936.
[3] M. Itik, et al., "Active Vibration Suppression of a Flexible Beam via
Sliding Mode and H infinity Control," in Proceedings of the 44th IEEE
Conference on Decision and Control, and the European Control
Conference, Seville, Spain, 2005, pp. 1240-1245.
[4] A. Madkour, et al., "Intelligent Learning Algorithms for Active
Vibration Control," in IEEE Transactions On Systems, Man, And
CyberneticsÔÇöPart C: Applications And Reviews, 2007, pp. 1022-1033.
[5] G. Haichang and G. Song, "Active Vibration Suppression of a Flexible
Beam with Piezoceramic Patches Using Robust Model Reference
Control," Journal of Smart Materials and Structures, vol. 16, pp. 1453-
1459, 2007.
[6] J. Fei, "Adaptive Sliding Mode Vibration Control Schemes for Flexible
Structure System," presented at the Decision and Control 2007 46th
IEEE Conference, New Orleans (USA), 2007.
[7] A. R. D. Curtis, "An Application of Genetic Algorithms to Active
Vibration Control," Journal of Intelligent Material Systems and
Structures, vol. 2, pp. 472-481, October 1, 1991 1991.
[8] C. T. Wangler and C. H. Hansen, "Genetic algorithm adaptation of nonlinear
filter structures for active sound and vibration control," in
Acoustics, Speech, and Signal Processing, 1994. ICASSP-94., 1994
IEEE International Conference on, 1994, pp. III/505-III/508 vol.3.
[9] M. O. Tokhi and M. A. Hossain, "A Unified Adaptive Active Control
Mechanism for Noise Cancellation and Vibration Suppression,"
International Journal of Mechanical Systems and Signal Processing,
vol. 10, pp. 667-682, 1996.
[10] S. Z. M. Hashim, et al., "Active Vibration Control of Flexible Structures
Using Genetic Optimisation," Journal of Low Frequency Noise,
Vibration and Active Control, vol. 25, pp. 195-207, 2006.
[11] S. Julai, et al., "Active Vibration Control of a Flexible Plate Structure
Using Ant System Algorithm," in Computer Modeling and Simulation,
2009. EMS '09. Third UKSim European Symposium on, 2009, pp. 37-42.
[12] S. Julai, et al., "Active vibration control of a flexible plate structure
using ant system algorithm," 2009, pp. 37-42.
[13] M. Mohamad, et al., "Continuous ant colony optimisation for active
vibration control of flexible beam structures," in Mechatronics (ICM),
2011 IEEE International Conference on, 2011, pp. 803-808.
[14] R. Storn and K. Price, "Differential Evolution - A Simple and Efficient
Heuristic for Global Optimization over Continuous Spaces," Journal of
Global Optimization, vol. 11, pp. 341-359, 1997.
[15] D. Ruijun, "Differential Evolution Versus Particle Swarm Optimization
for PID Controller Design," in Fifth International Conference on
Natural Computation, ICNC '09. , Tianjin, 2009, pp. 236-240.
[16] H. N. Pishkenaria, et al., "Optimum Synthesis of Fuzzy Logic Controller
for Trajectory Tracking by Differential Evolution," Scientia Iranica, vol.
18, pp. 261-267, 2011.
[17] H. Yousefi, et al., "Application of Differential Evolution in system
identification of a servo-hydraulic system with a flexible load,"
Mechatronics, vol. 18, pp. 513-528, 2008.
[18] L. Youxin and C. Xiaoyi, "Tuning PID Control Parameters on Hydraulic
Servo Control System Based on Differential Evolution Algorithm," in
Second International Conference on Advanced Computer Control
(ICACC), Shenyang, 2010, pp. 348-351.
[19] I. Z. M. Darus and M. O. Tokhi, "Soft Computing-based Active
Vibration Vontrol of a Flexible Structure," Journal of Engineering
Application of Artificial Intelligence, vol. 18, pp. 95-114, 2005.
[20] S. Z. M. Hashim, et al., "Genetic Adaptive Active Vibration Control of
Flexible Structures," presented at the Proceedings of ICS'04: IEEE SMC
UK-RI Chapter Conference 2004 on Intelligent Cybernetic Systems,
Londonderry (UK), 2004.
[21] M. O. Tokhi and R. R. Leitch, Active Noise Control. Oxford, U.K.:
Clarendon, 1992.
[22] R. Storn, "On the Usage of Differential Evolution for Function
Optimization," in Proceedings of the Fuzzy Information Processing
Society, Berkeley, CA, USA, 1996, pp. 519-523.
[23] S. Julai, et al., "Control of a flexible plate structure using particle swarm
optimization," in Evolutionary Computation, 2009. CEC '09. IEEE
Congress on, 2009, pp. 3183-3190.
[1] F. Christopher, Handbook of Noise and Vibration Control. Virginia:
John Wiley & Sons Inc, 2007.
[2] P. Lueg, "Process of Silencing Sound Oscillations," U.S. Patent 2 043
416, 1936.
[3] M. Itik, et al., "Active Vibration Suppression of a Flexible Beam via
Sliding Mode and H infinity Control," in Proceedings of the 44th IEEE
Conference on Decision and Control, and the European Control
Conference, Seville, Spain, 2005, pp. 1240-1245.
[4] A. Madkour, et al., "Intelligent Learning Algorithms for Active
Vibration Control," in IEEE Transactions On Systems, Man, And
CyberneticsÔÇöPart C: Applications And Reviews, 2007, pp. 1022-1033.
[5] G. Haichang and G. Song, "Active Vibration Suppression of a Flexible
Beam with Piezoceramic Patches Using Robust Model Reference
Control," Journal of Smart Materials and Structures, vol. 16, pp. 1453-
1459, 2007.
[6] J. Fei, "Adaptive Sliding Mode Vibration Control Schemes for Flexible
Structure System," presented at the Decision and Control 2007 46th
IEEE Conference, New Orleans (USA), 2007.
[7] A. R. D. Curtis, "An Application of Genetic Algorithms to Active
Vibration Control," Journal of Intelligent Material Systems and
Structures, vol. 2, pp. 472-481, October 1, 1991 1991.
[8] C. T. Wangler and C. H. Hansen, "Genetic algorithm adaptation of nonlinear
filter structures for active sound and vibration control," in
Acoustics, Speech, and Signal Processing, 1994. ICASSP-94., 1994
IEEE International Conference on, 1994, pp. III/505-III/508 vol.3.
[9] M. O. Tokhi and M. A. Hossain, "A Unified Adaptive Active Control
Mechanism for Noise Cancellation and Vibration Suppression,"
International Journal of Mechanical Systems and Signal Processing,
vol. 10, pp. 667-682, 1996.
[10] S. Z. M. Hashim, et al., "Active Vibration Control of Flexible Structures
Using Genetic Optimisation," Journal of Low Frequency Noise,
Vibration and Active Control, vol. 25, pp. 195-207, 2006.
[11] S. Julai, et al., "Active Vibration Control of a Flexible Plate Structure
Using Ant System Algorithm," in Computer Modeling and Simulation,
2009. EMS '09. Third UKSim European Symposium on, 2009, pp. 37-42.
[12] S. Julai, et al., "Active vibration control of a flexible plate structure
using ant system algorithm," 2009, pp. 37-42.
[13] M. Mohamad, et al., "Continuous ant colony optimisation for active
vibration control of flexible beam structures," in Mechatronics (ICM),
2011 IEEE International Conference on, 2011, pp. 803-808.
[14] R. Storn and K. Price, "Differential Evolution - A Simple and Efficient
Heuristic for Global Optimization over Continuous Spaces," Journal of
Global Optimization, vol. 11, pp. 341-359, 1997.
[15] D. Ruijun, "Differential Evolution Versus Particle Swarm Optimization
for PID Controller Design," in Fifth International Conference on
Natural Computation, ICNC '09. , Tianjin, 2009, pp. 236-240.
[16] H. N. Pishkenaria, et al., "Optimum Synthesis of Fuzzy Logic Controller
for Trajectory Tracking by Differential Evolution," Scientia Iranica, vol.
18, pp. 261-267, 2011.
[17] H. Yousefi, et al., "Application of Differential Evolution in system
identification of a servo-hydraulic system with a flexible load,"
Mechatronics, vol. 18, pp. 513-528, 2008.
[18] L. Youxin and C. Xiaoyi, "Tuning PID Control Parameters on Hydraulic
Servo Control System Based on Differential Evolution Algorithm," in
Second International Conference on Advanced Computer Control
(ICACC), Shenyang, 2010, pp. 348-351.
[19] I. Z. M. Darus and M. O. Tokhi, "Soft Computing-based Active
Vibration Vontrol of a Flexible Structure," Journal of Engineering
Application of Artificial Intelligence, vol. 18, pp. 95-114, 2005.
[20] S. Z. M. Hashim, et al., "Genetic Adaptive Active Vibration Control of
Flexible Structures," presented at the Proceedings of ICS'04: IEEE SMC
UK-RI Chapter Conference 2004 on Intelligent Cybernetic Systems,
Londonderry (UK), 2004.
[21] M. O. Tokhi and R. R. Leitch, Active Noise Control. Oxford, U.K.:
Clarendon, 1992.
[22] R. Storn, "On the Usage of Differential Evolution for Function
Optimization," in Proceedings of the Fuzzy Information Processing
Society, Berkeley, CA, USA, 1996, pp. 519-523.
[23] S. Julai, et al., "Control of a flexible plate structure using particle swarm
optimization," in Evolutionary Computation, 2009. CEC '09. IEEE
Congress on, 2009, pp. 3183-3190.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:62662", author = "Mohd Sazli Saad and Hishamuddin Jamaluddin and Intan Zaurah Mat Darus", title = "Active Vibration Control of Flexible Beam using Differential Evolution Optimisation", abstract = "This paper presents the development of an active
vibration control using direct adaptive controller to suppress the
vibration of a flexible beam system. The controller is realized based
on linear parametric form. Differential evolution optimisation
algorithm is used to optimize the controller using single objective
function by minimizing the mean square error of the observed
vibration signal. Furthermore, an alternative approach is developed to
systematically search for the best controller model structure together
with it parameter values. The performance of the control scheme is
presented and analysed in both time and frequency domain.
Simulation results demonstrate that the proposed scheme is able to
suppress the unwanted vibration effectively.", keywords = "flexible beam, finite difference method, active
vibration control, differential evolution, direct adaptive controller", volume = "6", number = "2", pages = "511-8", }
