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Optimal Bounded Control for Stationary Response of Strongly Nonlinear Oscillators under Combined Harmonic and Wide-Band Noise Excitations
Joint Authors
Feng, Changshui
Huan, Ronghua
Wu, Yongjun
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-28
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
We study the stochastic optimal bounded control for minimizing the stationary response of strongly nonlinear oscillators under combined harmonic and wide-band noise excitations.
The stochastic averaging method and the dynamical programming principle are combined to obtain the fully averaged Itô stochastic differential equations which describe the original controlled strongly nonlinear system approximately.
The stationary joint probability density of the amplitude and phase difference of the optimally controlled systems is obtained from solving the corresponding reduced Fokker-Planck-Kolmogorov (FPK) equation.
An example is given to illustrate the proposed procedure, and the theoretical results are verified by Monte Carlo simulation.
American Psychological Association (APA)
Wu, Yongjun& Feng, Changshui& Huan, Ronghua. 2011. Optimal Bounded Control for Stationary Response of Strongly Nonlinear Oscillators under Combined Harmonic and Wide-Band Noise Excitations. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-486992
Modern Language Association (MLA)
Wu, Yongjun…[et al.]. Optimal Bounded Control for Stationary Response of Strongly Nonlinear Oscillators under Combined Harmonic and Wide-Band Noise Excitations. Mathematical Problems in Engineering No. 2011 (2011), pp.1-21.
https://search.emarefa.net/detail/BIM-486992
American Medical Association (AMA)
Wu, Yongjun& Feng, Changshui& Huan, Ronghua. Optimal Bounded Control for Stationary Response of Strongly Nonlinear Oscillators under Combined Harmonic and Wide-Band Noise Excitations. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-486992
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486992