噪声与振动控制Issue(5)：53-55,59,4.DOI:10.3969/j.issn.1006-1335.2015.05.010
非线性系统随机振动响应限界极大极小控制
Optimal Bounded Control of Large Random Vibration Responses in Nonlinear Systems
摘要
Abstract
The optimal bounded minimum-maximum control for random vibration of nonlinear systems was studied. A variable was employed for rescaling system responses and a high-order power polynomial was used as the cost function of performance index for magnifying large vibration responses. The optimal bounded minimum-maximum control problem for nonlinear random vibration was expressed by a transformed differential equation and a performance index of the system. Then, the HJB equation was derived based on the random dynamical programming principle. The optimal bounded semi-continuous and switching control laws were obtained by solving the equation with the consideration of the control bound. The control effects for different variable values, control bounds, semi-continuous control and switching control were compared one-another. Numerical results show that the proposed control can effectively suppress the nonlinear random vibration.关键词
振动与波/最优控制/控制饱和/非线性随机振动/峰响应降低Key words
vibration and wave/optimal control/control saturation/nonlinear random vibration/peak response reduction分类
数理科学引用本文复制引用
张巍,应曌中,应祖光..非线性系统随机振动响应限界极大极小控制[J].噪声与振动控制,2015,(5):53-55,59,4.基金项目
国家自然科学基金项目（11432012）；浙江省自然科学基金项目 （）
