Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/19002
Title: A new stochastic optimal control strategy for hysteretic MR dampers
Authors: Ying, Z
Ni, Y 
Ko, J
Keywords: Hysteretic MR damper
Nonlinear stochastic optimal control
Stochastic averaging
Stochastic dynamical programming
Issue Date: 2004
Publisher: Huazhong University of Science and Technology
Source: Acta mechanica solida sinica, 2004, v. 17, no. 3, p. 223-229 How to cite?
Journal: Acta mechanica solida Sinica 
Abstract: A new stochastic optimal control strategy for randomly excited quasi-integrable Hamiltonian systems using magneto-rheological (MR) dampers is proposed. The dynamic behavior of an MR damper is characterized by the Bouc-Wen hysteretic model. The control force produced by the MR damper is separated into a passive part incorporated in the uncontrolled system and a semi-active part to be determined. The system combining the Bouc-Wen hysteretic force is converted into an equivalent non-hysteretic nonlinear stochastic control system. Then Itô stochastic differential equations are derived from the equivalent system by using the stochastic averaging method. A dynamical programming equation for the controlled diffusion processes is established based on the stochastic dynamical programming principle. The non-clipping nonlinear optimal control law is obtained for a certain performance index by minimizing the dynamical programming equation. Finally, an example is given to illustrate the application and effectiveness of the proposed control strategy.
URI: http://hdl.handle.net/10397/19002
ISSN: 0894-9166
EISSN: 1860-2134
DOI: 10.1007/s10338-004-0428-5
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