A bounded stochastic optimal semi-active control
A bounded stochastic optimal semi-active control
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DOI：
10.1016/j.jsv.2007.03.003
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发表时间：
2007-07
影响因子：
4.7
通讯作者：
Z. Ying;Y. Ni;J. Ko
中科院分区：
文献类型：
--
作者：
Z. Ying;Y. Ni;J. Ko
基于磁流变/电流变（MR/ER）阻尼器的半主动控制策略，考虑半主动控制力的约束条件，提出了一种有界随机最优半主动控制策略。控制力被分为半主动部分和被动部分，并被纳入非受控系统。利用随机平均法将控制系统转化为能量过程的平均控制系统。将半主动控制力的有界动态约束和一个性能指标建立为有界随机最优半主动控制问题。然后将随机动态规划原理应用于控制问题，建立了动态规划方程。基于变分法求解该方程，得到有界最优半主动控制力。给出的有界最优主动控制律可由MR/ER阻尼器实现。最后，通过一个受控随机激励非线性系统的算例，说明了所提出的有界控制的有效性和抖振衰减性。
A bounded stochastic optimal semi-active control strategy for magneto-rheological/electro-rheological (MR/ER) dampers is developed from the previously proposed strategy by considering the constraint of semi-active control forces. The control force is separated into a semi-active part and passive part incorporated in the uncontrolled system. The control system is converted into an averaged control system for energy processes by using the stochastic averaging method. The bounded and dynamic constraint of semi-active control forces and a performance index are formulated to constitute a bounded stochastic optimal semi-active control problem. Then the dynamical programming equation is established by applying the stochastic dynamical programming principle to the control problem. The bounded optimal semi-active control forces are obtained from solving this equation based on the variation method. A bounded optimal active control law given is implementable by MR/ER dampers. Finally, an example of controlled and stochastically excited nonlinear system is studied to illustrate the efficiency and chattering attenuation of the developed bounded control.