摘要
运用中心流形—范式综合方法 ,从理论上讨论了高维磁悬浮柔性转子控制系统二次状态反馈鲁棒稳定性问题。提出了此类高维控制系统渐近稳定的条件和二次状态反馈稳定定理 ,给出了此高维系统二次反馈控制律的构造方法 ;最后 。
By theoretical analysis, state feedback robust stability is discussed for a 5D magnetic levitation flex-rotor control system, by the integrated method of center manifold and normal form. The condition is g iven under which the simplified vector field is asymptotically stable; and suffi cient conditions for the existence of stabilizing controls are also given. Doubl e state feedback theorems are derived for the multidimensional system. Finally, selection method of feedback control law is obtained, and a theorem is proved re garding the robustness of the above control law.
出处
《机械科学与技术》
EI
CSCD
北大核心
2001年第5期643-645,648,共4页
Mechanical Science and Technology for Aerospace Engineering
基金
国家自然科学基金项目资助 (19675 0 2 6)
关键词
磁悬浮
非线性控制系统
状态反馈
鲁棒稳定性
Magnetic levitation
Nonlinear control system
State feedback
Robust stability