迟滞的磁流变阻尼器的随机最优控制力  

Stochastic Optimal Control Force of Hysteretic MR Dampers

作　　者：任倩[1] 应祖光[2] 

机构地区：[1]浙江科技学院土木系,杭州310012 [2]浙江大学力学系,杭州310027

出　　处：《噪声与振动控制》2004年第3期9-11,共3页Noise and Vibration Control

基　　金：浙江省自然科学基金资助项目(101046)

摘　　要：用Bouc Wen迟滞模型描述磁流变阻尼器的动力学特性,分离阻尼器控制力的半主动部分和被动部分,被动部分结合到受控系统。先将该系统变换成等价的非迟滞的非线性随机控制系统,再运用随机平均法导出关于能量的It^o随机微分方程。根据随机动态规划原理,建立控制总能量的动态规划方程,并由此确定非clip的最优控制力。最后通过数值结果表明该控制力的有效性。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 semi-active part and a passive part incorporated in the uncontrolled system.The system with the Bouc-Wen hysteretic force is converted into an equivalent non-hysteretic nonlinear stochastic control system. Then an It stochastic differential equation for total energy is derived by using the stochastic averaging method.A dynamical programming equation for the controlled energy process is established base on the stochastic dynamical programming principle.The non-clipping optimal control force is obtained from the programming equation.Finally,The control efficacy is illustrated by the numerical results.

关 键 词：振动与波 迟滞的磁流变阻尼器 非线性随机最优控制 随机动态规划 随机平均 

分 类 号：O324[理学—一般力学与力学基础]