Optimal Vibration Control of a Class of Nonlinear Stochastic Systems with Markovian Jump
Joint Authors
Huan, R. H.
Hu, R. C.
Pu, D.
Zhu, W. Q.
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-27
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The semi-infinite time optimal control for a class of stochastically excited Markovian jump nonlinear system is investigated.
Using stochastic averaging, each form of the system is reduced to a one-dimensional partially averaged Itô equation of total energy.
A finite set of coupled dynamical programming equations is then set up based on the stochastic dynamical programming principle and Markovian jump rules, from which the optimal control force is obtained.
The stationary response of the optimally controlled system is predicted by solving the Fokker-Planck-Kolmogorov (FPK) equation associated with the fully averaged Itô equation.
Two examples are worked out in detail to illustrate the application and effectiveness of the proposed control strategy.
American Psychological Association (APA)
Huan, R. H.& Hu, R. C.& Pu, D.& Zhu, W. Q.. 2015. Optimal Vibration Control of a Class of Nonlinear Stochastic Systems with Markovian Jump. Shock and Vibration،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1120168
Modern Language Association (MLA)
Huan, R. H.…[et al.]. Optimal Vibration Control of a Class of Nonlinear Stochastic Systems with Markovian Jump. Shock and Vibration No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1120168
American Medical Association (AMA)
Huan, R. H.& Hu, R. C.& Pu, D.& Zhu, W. Q.. Optimal Vibration Control of a Class of Nonlinear Stochastic Systems with Markovian Jump. Shock and Vibration. 2015. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1120168
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1120168