Nonlinear Stochastic Optimal Control Using Piezoelectric Stack Inertial Actuator
Joint Authors
Wang, X. F.
Lü, Q. F.
Lu, K.
Huan, R. H.
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-18
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
An optimal control strategy for the random vibration reduction of nonlinear structures using piezoelectric stack inertial actuator is proposed.
First, the dynamic model of the nonlinear structure considering the dynamics of a piezoelectric stack inertial actuator is established, and the motion equation of the coupled system is described by a quasi-non-integrable-Hamiltonian system.
Then, using the stochastic averaging method, this quasi-non-integrable-Hamiltonian system is reduced to a one-dimensional averaged system for total energy.
The optimal control law is determined by establishing and solving the dynamic programming equation.
The proposed control law is analytical and can be fully executed by a piezoelectric stack inertial actuator.
The responses of optimally controlled and uncontrolled systems are obtained by solving the Fokker–Planck–Kolmogorov (FPK) equation to evaluate the control effectiveness of the proposed strategy.
Numerical results show that our proposed control strategy is effective for random vibration reduction of the nonlinear structures using piezoelectric stack inertial actuator, and the theoretical method is verified by comparing with the simulation results.
American Psychological Association (APA)
Lü, Q. F.& Wang, X. F.& Lu, K.& Huan, R. H.. 2020. Nonlinear Stochastic Optimal Control Using Piezoelectric Stack Inertial Actuator. Shock and Vibration،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1210006
Modern Language Association (MLA)
Lü, Q. F.…[et al.]. Nonlinear Stochastic Optimal Control Using Piezoelectric Stack Inertial Actuator. Shock and Vibration No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1210006
American Medical Association (AMA)
Lü, Q. F.& Wang, X. F.& Lu, K.& Huan, R. H.. Nonlinear Stochastic Optimal Control Using Piezoelectric Stack Inertial Actuator. Shock and Vibration. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1210006
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1210006