Performance Studies of Linear Quadratic AMD Controller for Civil Engineering

Abstract:

In this paper a Linear Quadratic Regulator (LQR) with and without actuator dynamic model for an electric-type active mass driver (AMD) system for structural vibration control has been developed. The electric-type active mass driver (AMD) system is composed primarily of an electric servomotor and a ball screw, the electrical AMD system is free from noise problems, oil leakage, and labor-intensive maintenance that commonly are associated with hydraulic AMD systems. The desired stroke amplification of the mass and the power demand of the servomotor can be adjusted via the ball screw pitch, which affects the effectiveness and efficiency of the system. The AMD system performances without and with introduction of the actuators dynamic model are explored. The reductions of the peak responses can reach as high as 65% if the actuator is properly chosen. And the proposed system is recommended for practical implementation.

• Periodical: Applied Mechanics and Materials (Volume 346)
• Pages: 95-100
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.346.95
• Online since: August 2013
• Authors: L. Guenfaf, S. Allaoua
• Keywords: Active Control, Active Mass Driver, Earthquake, Electric Actuators

References

[1] J.N. Yang, Control of tall buildings under earthquake excitations, ASCE Journal of Engineering Mechanics Division, 108, 50, (1982).

[2] C. H. Chang, and T. T. Soong, Structural control using active tuned mass dampers, ASCE Journal of Engineering Mechanics Division, 106, 1091, (1980).

DOI: 10.1061/jmcea3.0002652

[3] C. K. Erdey, Earthquake Engineering Application to Design, Copyright © 2007 by John Wiley & Sons, Inc.

[4] Y. Nakamura, K. Tanaka, M. Nakayama1, and T. Fujita, Hybrid mass dampers using two types of electric servomotors: AC servomotors and linear-induction servomotor, Earthquake Engineering and Structural Dynamics. (2001).

DOI: 10.1002/eqe.89

[5] L. Chien-Liang and W. Yen-Po, Seismic structural control using an electric servomotor active mass driver system, Earthquake Engineering and Structural Dynamics. (2004).

DOI: 10.1002/eqe.373

[6] M. Hadid, H. Afra, and L. Guenfaf, Active Control Techniques for Building Under Seismic Ground Motion, 1er Colloque National de GénieParasismique, ENSAG, 4, 5 et 6 Juin 1996, Bouzeréah, Vol. 1, pp.157-163.

[7] L. Guenfaf and S. Allaoua, Optimal Choice of Actuator for AMD Linear Quadratic Controller, Internationanl Journal of Electrical and Control Engineering, JECE, (2013).

[8] Y. C Franklin, Y. Chang, J. Hongping and L. Kangyu, Smart structures innovative for systems seismic response control, 2008 by Taylor & Francis Group, CRC Press.

[9] A. Preumont and K. Seto, Active control of structure, © 2008 John Wiley & Sons.

[10] L. Guenfaf and S. Allaoua, 'Linear Quadratic AMD Controller for five-story building under seismic ground motion, International Conference on System and Control, ICSC 2012, Morocco.

DOI: 10.1109/iccas.2013.6704178

[11] R. L. Williams and D. A. Lawrence, Linear State-Space Control Systems, Copyright © 2007 John Wiley & Sons, Inc.

[12] M. Hadid, L. Guenfaf and H. Afra, Linear Optimal Control Theory Applied to Earthquake Engineering Problems, ' Actes de la 2éme Conférence Maghrébinesur l'Automatique, l'Electrotechnique et l'Electronique Industrielle, COMAEI, 96, 3, 4 et 5, Dec. 1996, Tlemcen, Algiers, Vol. 1, pp.43-47.

[13] A. K. Chopra, Dynamics of structures A Primer, Earthquake Engineering Research Institute, George w. Housner, Pasadena, California December (1980).