Vibration Control of a Flexible Beam Using Model Predictive Control

Abstract:

Article Preview

Model predictive control is applied to suppress the vibration of a flexible link with piezoelectric actuators and strain gage transducer. The state-space dynamic model of the system was derived by using finite element method and experimental modal test. On the basis of the model, model predictive controller is designed taking into account the uncertain disturbance and measurement noise. The discrete prediction model is derived from the state-space equation of the system, and the future output is obtained from the model. The uncertain external disturbance and measurement noise are white noise signal, the Kalman filter estimator is designed to estimate the state variables of the system. A standard quadratic programming optimization problem is formed where the performance index function minimizes a quadratic performance function that trades off controller performance and control effort. The constraints are the control input voltage and its change rate. Finally, the optimization problem is solved to obtain the optimal control output. A MIMO control system is built using dSPACE DS1103 platform, and experimental tests are performed. The performances of the controller are verified experimentally. The results of experiment show the effectiveness of the controller.

Info:

Periodical:

Advanced Materials Research (Volumes 457-458)

Edited by:

Sally Gao

Pages:

1299-1304

DOI:

10.4028/www.scientific.net/AMR.457-458.1299

Citation:

J. F. Hu et al., "Vibration Control of a Flexible Beam Using Model Predictive Control", Advanced Materials Research, Vols. 457-458, pp. 1299-1304, 2012

Online since:

January 2012

Export:

Price:

$35.00

[1] S. B. Choi: Active structural acoustic control of a smart plate featuring piezoelectric actuators. Journal of Sound and Vibration Vol. 294(1-2) (2006), p.421–429.

DOI: 10.1016/j.jsv.2006.01.040

[2] K. Ma: Adaptive nonlinear control of a clamped rectangular plate with PZT patches. Journal of Sound and Vibration Vol. 264 (4) (2003), pp.835-850.

DOI: 10.1016/s0022-460x(02)01220-8

[3] K. Ma, and M. N. Ghasemi-Nejhad: Frequency-weighted adaptive control for simultaneous precision positioning and vibration suppression of smart structures. Smart Materials and Structures Vol. 13 (5) (2004), p.1143–1154.

DOI: 10.1088/0964-1726/13/5/019

[4] G. Song, and H. Gu: Active vibration suppression of a smart flexible beam using a sliding mode based controller. Journal of Sound and Vibration Vol. 13(8) (2007), p.1095–1108.

DOI: 10.1177/1077546307078752

[5] G. L. C. M. Abreu, J. F. Ribeiro, and V. Steffen: Experiments on optimal vibration control of a flexible beam containing piezoelectric sensors and actuators. Shock and vibration Vol. 10 (2003), p.283–300.

DOI: 10.1155/2003/594083

[6] Y. Y. Li, L. H. L. Yam: Roubust vibration control uncertain systems using variable parameter feedback and model-based fuzzy strategies. Computers and Structures Vol. 79 (2001), p.1109–1119.

DOI: 10.1016/s0045-7949(01)00002-5

[7] P. Mayhan, G. Washington: Fuzzy model reference learning control: a new control paradigm for smart structures. Smart Mater. Struct. Vol. 7 (1998), pp.874-884.

DOI: 10.1088/0964-1726/7/6/015

[8] X. M. Zhang, C. J. Shao, and A.G. Erdman: Active vibration controller design and comparison study of flexible linkage mechanism systems. Mechanism & Machine Theory Vol. 37 (2002), pp.985-997.

DOI: 10.1016/s0094-114x(02)00025-3

[9] X. M. Zhang, C. J. Shao, and S. Li, et al.: Robust vibration control for flexible linkage mechanism systems with piezoelectric sensors and actuators. Journal of Sound and Vibration Vol. 243(1) (2001), pp.145-155.

DOI: 10.1006/jsvi.2000.3413

In order to see related information, you need to Login.