不确定性拉索非线性随机振动的最优控制  

Optimal Control of Nonlinear Random Vibration of an Inclined Taut Cable with Uncertainties

作　　者：张巍[1] 应祖光[2] 胡荣春[2] 

机构地区：[1]浙江理工大学经济管理学院实验中心,杭州310018 [2]浙江大学航空航天学院力学系,杭州310027

出　　处：《噪声与振动控制》2014年第1期44-46,共3页Noise and Vibration Control

基　　金：国家自然科学基金项目(11072215)

摘　　要：为实施不确定性斜拉索非线性随机振动的最优控制,建立受控拉索的横向非线性运动方程,运用伽辽金法推导多模态耦合的振动方程。同时,考虑系统的不确定参数,建立不确定性系统的随机最优控制问题。随后,应用随机平均法、微分对策理论与动态规划方法确定HJI方程并得到极大极小控制律,最后通过数值结果说明该最优控制对于斜拉索非线性随机振动能够达到较好控制效果。The optimal control of nonlinear random vibration of an inclined taut cable with uncertainties is studied. Thenonlinear equation for transverse motion of the controlled cable is derived, and then converted into the vibration equationswith multi-mode coupling by using Galerkin method. Considering the uncertainty parameters, the random optimal controlmodel of the uncertainty system is established. Then the HJI equation is determined and the minimum and maximum controllaws are obtained based on the random averaging method, differential game theory and dynamical programming principle.Numerical results show that the proposed optimal control method has a good effectiveness for the nonlinear randomvibration control of the cable.

关 键 词：振动与波 最优控制 不确定性 非线性随机振动 拉索 

分 类 号：TB52[理学—物理] O32[理学—声学]