Time-Delay Analysis for Active Controlled Structure System

Article Preview

Abstract:

In this paper, a new stability criterion of time-delay analysis is established for active controlled structure system. Based on an improved upper bound for the inner product of two vectors, the maximal value of time delay can be obtained by using LMI control toolbox of Matlab. According to the new method, the maximal delay varying with parameters of controlled structure system is discussed for SDOF system. The criterion is applicable to the theoretical analysis for the delay-dependent stability of SDOF vibrating system. The longer the delay is the worse the efficiency of control strategy. But the system is still asymptotically stable so long as the time-delay lies in the interval of permitted time delay.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

1312-1315

Citation:

Online since:

May 2012

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Fuller, C. R., Elliott, S. J., and Nelson, P. A., Active Control of Vibration, Academic Press, London, 1996.

Google Scholar

[2] Qin, Y. X., Stability of Dynamic Systems with Delays, The Science Press, Beijing, 1989.(in Chinese)

Google Scholar

[3] Mori, T., and Kokame, H., Stability of , IEEE Transactions on Automatic Control, 1989, 34(2):560-462.

Google Scholar

[4] Hu, H. Y., and Wang, Z. H., Stability Analysis of Damped Sd.o.f. Systems with Two Time Delays in State Feedback, Journal of Sound and Vibration, 1998, 214(5) :213-225.

DOI: 10.1006/jsvi.1997.1499

Google Scholar

[5] Wang, Z. H., and Hu, H. Y., Delay-independent Stability of Retarded Dynamic Systems of Multiple Degrees of Freedom, Journal of Sound and Vibration, 1999,226(7): 57-81.

DOI: 10.1006/jsvi.1999.2282

Google Scholar

[6] Wang, S. S., Chen, B. S., and Lin, T. P., Robust Stability of Uncertain Time-delay Systems, Int. J. Contr 1987,46(9):963-976.

Google Scholar

[7] Niculescu, S. I., De Souza, C. E., Dion, J. M., and Dugard, L., Robust Stability and Stabilization of Uncertain Linear Systems with State Delay: Single Delay Case (I), Proc. IFAC Symp. Robust Control Design, Riode Janeiro, Brazil Sept, 1994,469-474.

DOI: 10.23919/ecc.1997.7082683

Google Scholar

[8] Su, J. H., Further Sesults on The Robust Stability of Linear Systems with a Single Time Delay, Syst. Contr. Lett, 1994, 23(3): 375-379.

Google Scholar

[9] Ivnescu, D., Dion, J.M., Dugard, L., and Niculescu, S. I., Dynamical Compensation for Time-delay Systems: An LMI Approach, International Journal of Robust and Nonlinear Control, 2000, 10(8):611-628.

DOI: 10.1002/1099-1239(20000715)10:8<611::aid-rnc501>3.0.co;2-e

Google Scholar

[10] Jun, M., and Safonov, M.G., IQC Robustness Analysis for Time-delay Systems, International Journal of Robust and Nonlinear Control, 2001,11(15):1455-1468.

DOI: 10.1002/rnc.669

Google Scholar

[11] Park, P.G., A Delay-dependent Stability Criterion for Systems with Uncertain Time-invariant Delays, IEEE Transactions on Automatic Control, 1999, 44(8):876-877.

DOI: 10.1109/9.754838

Google Scholar

[12] Abdel-Mooty Mohamed and Roorda John, Time-delay Compensation in Active Damping of Structures, J.Engrg. Mech., ASCE, 1991,117(11):2549-2570.

DOI: 10.1061/(asce)0733-9399(1991)117:11(2549)

Google Scholar