Instantaneous Stochastic Optimal Control of Seismically Excited Structures Based on Time Domain Explicit Method

Xue Ping Li; Chao Yu; Jie Yang  Zhang; Jing Jie Zhou; Lin Ming Zhang

doi:10.4028/www.scientific.net/AMR.790.215

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 790Instantaneous Stochastic Optimal Control of...

Instantaneous Stochastic Optimal Control of Seismically Excited Structures Based on Time Domain Explicit Method

Abstract:

A new instantaneous stochastic optimal control (ISO) for the linear building structures subjected to non-stationary random excitations is proposed. A plane shear structure is taken as the example to illustrate the proposed method. The main advantage of the method is that the control force is easy to be calculated because the expression of the control force is independent of the state of the system.

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Periodical:

Advanced Materials Research (Volume 790)

Pages:

215-218

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.790.215

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Online since:

September 2013

Authors:

Xue Ping Li, Chao Yu, Jie Yang Zhang, Jing Jie Zhou, Lin Ming Zhang

Keywords:

Random Excitations, Stochastic Optimal Control, Time Domain Explicit Method

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References

[1] W.H. Fleming, H.M. Sooner, Controlled Markov Processes and Viscosity Solutions. Springer-Verlag, New York, (1992).

Google Scholar

[2] J.M. Yong, X.Y. Zhou, Stochastic Controls, Hamiltonian Systems and HJB Equations. Springer-Verlag, New York, (1999).

Google Scholar

[3] W.Q. Zhu, Z.G. Ying, T.T. Soong, An Optimal Nonlinear Feedback Control Strategy for Randomly Excited Structural Systems. Nonlinear Dynamics, (2001), 24: 31-51.

Google Scholar

[4] O. Elbeyli, J.Q. Sun, Feedback Control Optimization of Nonlinear Systems under Random Excitaions. Nonlinear Science and Numerical simulation, (2005), 11: 125-136.

DOI: 10.1016/j.cnsns.2002.03.001

Google Scholar

[5] R.H. Huan, M.L. Deng, W.Q. Zhu, Optimal Control Strategies for Stochastically Excited Quasi partially Integrable Hamiltonian Systems, Acta Mechanica Sinica, (2007), 23: 311-319.

DOI: 10.1007/s10409-007-0079-0

Google Scholar

[6] Li XP, Huan RH, Wei DM, Feedback Minimization of the First-passage Failure of a Hysteretic System under Random Excitations. Probabilistic Engineering Mechanics, 2010, 25: 245-248.

DOI: 10.1016/j.probengmech.2009.12.003

Google Scholar

[7] J.N. Yang, S. C Liu, Instantaneous Optimal Control with Acceleration and Celocity Feedback. Probabilistic Engineering Mechanics, (1991), 6: 204-211.

DOI: 10.1016/0266-8920(91)90011-r

Google Scholar

[8] J. Rarantino, J.C. Bruch, J.M. Sloss, Instantaneous Optimal Control of Seismically Excited Structures using a Maximum Principle. Journal of Vibration and Control, (2004), 10: 1099-1121.

DOI: 10.1177/1077546304042749

Google Scholar

[9] C. Su, R. Xu, Random Vibration Analysis of Structures subjected to Non-stationary Excitations by Time Domain method. Engineering Mechanics, (2010). 77-83.

Google Scholar

[10] N.M. Newmark, A Method of Computation for Structural Dynamics. Journal of Engineering Mechanics Division. (1959), 85(3): 67-94.

Google Scholar