Robust Control for Uncertain Structural System Based on LMI

Zhen Bin Gao

doi:10.4028/www.scientific.net/AMM.166-169.1067

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 166-169Robust Control for Uncertain Structural System...

Robust Control for Uncertain Structural System Based on LMI

Abstract:

This paper presents an active vibration control scheme for uncertain structural system. The state feedback controller is designed in term of Hinf robust control theory and the optimal solu- tion is obtained by using LMI convex optimal technique. A numerical example of three-degree-of- freedom system is taken to verify the proposed approach.The simulations demonstrate the effective- ness and feasibility.

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Periodical:

Applied Mechanics and Materials (Volumes 166-169)

Pages:

1067-1071

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.166-169.1067

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Online since:

May 2012

Authors:

Zhen Bin Gao

Keywords:

Hinf Robust Control, Linear Matrix Inequality (LMI), Uncertain Structural System, Vibration Control

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References

[1] B. F. Spencer,M. K. Sain. Controlling buildings: a new frontier of feedback.IEEE control system Magazine.1997,vol.17:19-35.

Google Scholar

[2] M. R. Bai,C. Shieh.Active noise cancellation by using the linear quadratic gaussian independent modal space control. J. of Acoustical Society American,1995,97(5):2664-2674.

DOI: 10.1121/1.411898

Google Scholar

[3] T. Kobori,N. Koshiba,K. Yamada and Y. Ikeda.Seismic-response-controlled structure with active mass driver system.Part I:Design. Earthquake Engineering & Structural Dynamics, 1991,20(2)：133-149.

DOI: 10.1002/eqe.4290200204

Google Scholar

[4] T. Kobori,N. Koshiba,K. Yamada,Y. Ikeda. Seismic-response-controlled structure with active mass driver system.Part II:Verification. Earthquake Engineering & Structural Dynamics, 1991,20(2)：151-166.

DOI: 10.1002/eqe.4290200205

Google Scholar

[5] G. Zames. Feedback and optimal sensitivity:model reference transformations,multiplicative seminorms and approximate inverse.IEEE trans. of Automatic Control,1981,26:301-320.

DOI: 10.1109/tac.1981.1102603

Google Scholar

[6] S. Boyd,L. E. Ghaoui,E. Feron,et al. Linear matrix inequalities in systems and control theory. SIAM,Philadelphia, PA,1994.

Google Scholar

[7] C. C Lin,C. C. Chang and H. L. Chen.Optimal output feedback control systems with time delay. J. of Engineering Mechanics, 2006,Oct,1096-1105.

DOI: 10.1061/(asce)0733-9399(2006)132:10(1096)

Google Scholar

[8] I. N. Kar,K. Seto,F. Doi. Multimode Vibration control of Flexible Structure using -based robust control.IEEE/ASME Trans. On Mechatronics,2000,5(1):23-31.

DOI: 10.1109/3516.828586

Google Scholar