A minimax stochastic optimal semi-active control strategy for uncertain quasi-integrable Hamiltonian systems using magneto-rheological dampers
A minimax stochastic optimal semi-active control strategy for uncertain quasi-integrable Hamiltonian systems using magneto-rheological dampers
复制标题
使用磁流变阻尼器的不确定准可积哈密顿系统的极小最大随机最优半主动控制策略
DOI：
10.1177/1077546311429058
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发表时间：
2012-11
影响因子：
2.8
通讯作者：
王永
中科院分区：
文献类型：
--
作者：
王永
针对随机激励下的参数不确定拟可积Hamilton系统，提出了一种基于磁流变阻尼器的极小极大随机最优半主动控制策略。首先，将控制问题描述为n自由度受控、不确定准可积Hamilton系统，并将MR阻尼器产生的控制力分为被动部分和半主动部分。然后，被动部分被纳入不受控系统。在此基础上，应用基于随机平均法和随机微分对策的极小极大随机最优控制策略，求解了随机最优半主动控制问题。最坏情况下的干扰和最优控制的最小最大动态规划方程的干扰界和MR阻尼器的动力学约束。最后，通过Monte Carlo仿真对系统的响应和控制性能进行了评估。通过一个具有耦合阻尼和参数不确定性的两自由度系统在高斯白色噪声激励下的算例，详细说明了该控制策略的步骤和有效性，并与线性二次高斯限幅控制策略进行了比较，说明了该控制策略的优越性。
A minimax stochastic optimal semi-active control strategy for stochastically excited quasi-integrable Hamiltonian systems with parametric uncertainty by using magneto-rheological (MR) dampers is proposed. Firstly, the control problem is formulated as an n-degree-of-freedom (DOF) controlled, uncertain quasi-integrable Hamiltonian system and the control forces produced by MR dampers are split into the passive part and the semi-active part. Then the passive part is incorporated into the uncontrolled system. After that, the stochastic optimal semi-active control problem is solved by applying the minimax stochastic optimal control strategy based on the stochastic averaging method and stochastic differential game. The worst-case disturbances and the optimal controls are obtained by the minimax dynamical programming equation with the constraints of disturbance bounds and MR damper dynamics. Finally, the system response and the control performance are evaluated by using Monte Carlo simulation. An example of a two-DOF system with coupling damping and parametric uncertainty under Gaussian white noise excitations is worked out in detail to illustrate the procedure and effectiveness of the proposed control strategy, which is also compared with the clipped linear-quadratic-Gaussian control strategy to show the advantages.
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影响因子：
4.1
作者：
H. Cheng;W. Q. Zhu;Z. Ying
通讯作者：
H. Cheng;W. Q. Zhu;Z. Ying
影响因子：
4.7
作者：
Z. Ying;Y. Ni;J. Ko
通讯作者：
Z. Ying;Y. Ni;J. Ko
DOI：
10.1016/s1474-6670(17)58562-6
发表时间：
1996-06
期刊：
IFAC Proceedings Volumes
影响因子：
--
作者：
S. Dyke;B. Spencer;M. Sain;J. Carlson
通讯作者：
S. Dyke;B. Spencer;M. Sain;J. Carlson
DOI：
10.1109/cdc.1996.572756
发表时间：
1995-08
期刊：
Proceedings of 35th IEEE Conference on Decision and Control
影响因子：
--
作者：
J. Doyle
通讯作者：
J. Doyle
DOI：
10.1061/(asce)0733-9445(2003)129:7(845
发表时间：
2003-07
期刊：
Journal of Structural Engineering-asce
影响因子：
--
作者：
B. Spencer;Satish Nagarajaiah
通讯作者：
B. Spencer;Satish Nagarajaiah