The Fractional-Order Control Method of Dynamic Elastoplastic Responses of Benchmark Buildings

Abstract:

The elastoplastic phenomenon of the structures will be advent under the action of the strong earthquakes, the presented research on the vibration control of the ones is chiefly concentrated on fuzzy and neuro-controller with the expense of bigger energy. In the paper, the 3-storey benchmark building is used as research object, the control strategy of vibration system with fractional-order is studied. The control method based on acceleration responses output is emphatically concerned as it is usually adopted in most actual application of active vibration control techniques. The concrete courses include the following three steps: the integer-order approximation of fraction-order, the transfer function reduction in frequency-domain which base on Pade approximation, the controller design and simulation. In the last, an example is used to show the feasibility of proposed method.

• Periodical: Advanced Materials Research (Volumes 562-564)
• Pages: 1201-1204
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.562-564.1201
• Online since: August 2012
• Authors: Xing De Zhou, Xiang Zhang, Dong Ju Jiang, Ping Li, Yong Zhi Li, Lu Jian Wang, Fei Ma Qing
• Keywords: Benchmark Buildings, Elasto-Plastic, Fractional-Order, Vibration Control

References

[1] Yin D.S. Ren J.J. A New Rhrological Model Element for Geomaterials[J]. Chinese Journal of Rock Mechanics and Engineering, 2007; 26(9): 1899-(1903).

[2] Benmalek M. Charef A. Digital fractional order operators for R-wave detection in electrocardiogram signal[J]. IET Signal Processing, 2009, 3(5): 381-391.

DOI: 10.1049/iet-spr.2008.0094

[3] Djamah T. Mansouri R. Optimal low order model identification of fractional dynamic systems[J]. Applied Mathematics and Computation, 2008, 2: 543-554.

DOI: 10.1016/j.amc.2008.05.109

[4] Biswas A. Das S. Design of fractional-order PIλDμ controllers with an improved differential evolution[J]. Engineering Applications of Artificial Intelligence, 2009, 22(2): 343-350.

DOI: 10.1016/j.engappai.2008.06.003

[5] Tar JK. Rudas IJ. Adaptive controller for systems of fractional dynamics based on robust fixed point transformations[C]. 7th International Symposium on Applied Machine Intelligence and Informatics, Proceedings, 2009: 117-123.

DOI: 10.1109/sami.2009.4956622

[6] Tavazoei M. Haeri, M. Stabilization of unstable fixed points of chaotic fractional order systems by a state fractional PI controller[J]. European Journal of Control, 2008, 14(3): 247-257.

DOI: 10.3166/ejc.14.247-257

[7] Zeng QS. Cao GY. Zhu, XJ. Research on controllability for a class of fractional-order linear control systems[J]. Journal of Systems Engineering and Electronics, 2005, 16(2): 376-381.

[8] Ohtori Y., Christenson RE., Spencer BF., Dyke SJ. Benchmark control problems for seismically excited nonlinear buildings [J]. J. Engineering Mechanics. 2004, 130(4): 366-384.

DOI: 10.1061/(asce)0733-9399(2004)130:4(366)

[9] Oustaloup A, Levron F. Frequency-band complex noninteger differentiator: characterization and synthesis[C]. IEEE Transaction on Circuit and Systems-I：Fundamental Theory and Applications，2000，47(1)：25-39.

DOI: 10.1109/81.817385

[10] Wang XL., Shao HH. New method of frequency domain identification and model reduction based on Pade approximation[J]. Control Theory & Application, 2003，20(1)：54-58.