摘要
为解决航天结构的低频振动抑制问题,针对拉索控制装置的单边饱和特点,推导了一种非二次型性能指标函数的最优控制方法。适当地选择非二次型性能指标函数中特殊加权参数,最优控制是一种单边Cou lom b摩擦。通过简单改造的电机拉索结构,该最优控制能采用无需耗能的被动控制方式实现,为航天结构振动抑制节省控制能量。同时最优控制不依赖控制结构模型,在结构模型不确定的情况下,仍具有最优和全局渐进稳定性。在悬臂上进行最优控制的数值仿真结果显示该最优控制方法能充分利用控制作动器迅速抑制结构振动。
Cable actuators are used for structural vibration control on large space structures. An optimal control system with a nonquadratic cost function was developed based on the unilateral and satuating nonlinear characteristics of the cable actuator. When the cost coefficient of the higher-order cost function was selected, the optimal control was based on the one-directional Coulomb friction. The motor-cable device was modified so that the optimal control was realized by passive control, with less energy used for the space structure vibration attenuation. The optimal control law does not depend on the control model, the control law is optimal, and global stability is achieved even if the structural model is unspecified. The optimal control law was simulated for a cantilever beam with the results showing that with the cable actuator, the structural vibrations were rapidly attenuated.
出处
《清华大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2006年第8期1481-1484,共4页
Journal of Tsinghua University(Science and Technology)
基金
国家自然科学基金资助项目(10572070)
国家教育振兴计划项目(Jcqn2005029)
