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1. A bounded optimal control for maximizing the reliability of randomly excited nonlinear oscillators with fractional derivative damping | |||
CHEN Licong,ZHU Weiqiu | |||
Mechanics 18 July 2012 | |||
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Abstract:In this paper, a bounded optimal control for maximizing the reliability of randomly excited nonlinear oscillators with fractional derivative damping is proposed. First, the partially averaged Itô equations for the energy processes are derived by using the stochastic averaging method. Then, the dynamical programming equations for the control problems of maximizing the reliability function and maximizing the mean first passage time are established from the partially averaged Itô equations by using the dynamical programming principle and solved to obtain the optimal control law. The conditional reliability function and mean first passage time of the optimal control system are obtained by solving the backward Kolmogorov equation and Pontryagin equation associated with the fully averaged Itô equations, respectively. The application of the proposed procedure and effectiveness of the control strategy are illustrated by using two examples. In addition, the effect of fractional derivative order on the reliability of optimally controlled system is examined. | |||
TO cite this article:CHEN Licong,ZHU Weiqiu. A bounded optimal control for maximizing the reliability of randomly excited nonlinear oscillators with fractional derivative damping[OL].[18 July 2012] http://en.paper.edu.cn/en_releasepaper/content/4485187 |
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