一类挠性结构系统的非线性边界控制与镇定

Nonlinear Boundary Control and Stabilization of a Class of System with Flexible Structures

在无穷维函数空间中研究了具有阻尼和陀螺部件的挠性空间结构的分布参数系统 ,得到了挠性结构系统状态的结构特征 ;特别是针对挠性空间结构弱阻尼的特点 ,设计了一类非线性边界控制律 ,使得相关受控系统强稳定 ,解决了系统的镇定问题 ;最后将理论研究成果应用于弹—刚耦合系统的分析中。

The distributed parameter system of flexible space structures with damping and g y roscopic parts is investigated in infinite functional spaces. The structure prop erty of the state of the flexible system is obtained. Especially, for the weak damping of the flexible space structure, a type of nonlinear boundary c ontrol law is designed to make the system strongly stabilized. Finally, as an il lustrative example,the system coupled with elastomer and rigid body is analyzed.