Stochastic optimal semi-active control of hysteretic systems by using a magneto-rheological damper
Stochastic optimal semi-active control of hysteretic systems by using a magneto-rheological damper
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DOI：
10.1088/0964-1726/15/3/006
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发表时间：
2006-06
影响因子：
4.1
通讯作者：
H. Cheng;W. Q. Zhu;Z. Ying
中科院分区：
文献类型：
--
作者：
H. Cheng;W. Q. Zhu;Z. Ying
提出了一种磁流变阻尼器对随机激励滞回系统的随机最优半主动控制策略。滞回系统和磁流变液阻尼器的动力学特性均采用Bouc-Wen滞回模型。阻尼器产生的控制力分为被动部分和半主动部分。无源部分与非受控系统相结合，构成无源受控系统。然后，将系统转化为一个等价的非线性非滞后随机系统，利用能量包络的随机平均方法，推导出部分平均的随机微分方程。对于遍历控制问题，基于随机动态规划原理建立了动态规划方程，并对其进行求解，得到最优半主动控制律。将最优半主动控制力代入部分平均后的伊特方程，即可得到完全平均伊特方程。最后，通过求解Fokker-Planck-Kolmogorov方程，得到半主动控制系统的响应。数值结果表明了该控制策略的有效性，并与截断LQG控制进行了比较。
A stochastic optimal semi-active control strategy for stochastically excited hysteretic systems by using a magneto-rheological (MR) damper is proposed. The dynamics of both the hysteretic system and the MR damper is characterized by using the Bouc–Wen hysteretic model. The control force produced by the damper is split into a passive part and a semi-active part. The passive part is combined with the uncontrolled system to form a passively controlled system. Then the system is converted into an equivalent nonlinear non-hysteretic stochastic system, from which a partially averaged Itô stochastic differential equation is derived by using the stochastic averaging method of the energy envelope. For the ergodic control problem, a dynamical programming equation is established based on the stochastic dynamical programming principle and solved to yield the optimal semi-active control law. The fully averaged Itô equation is obtained by substituting the optimal semi-active control force into the partially averaged Itô equation and completing the averaging. Finally, the response of the semi-actively controlled system is obtained from solving the Fokker–Planck–Kolmogorov equation associated with the fully averaged Itô equation. The efficacy of the proposed control strategy is illustrated by the numerical results and comparison with clipped LQG control for an example.