摘要
介绍了一种非线性系统精确线性化的新方法——微分几何法,它是采用微分流形的概念,通过状态空间的微分同胚变换和状态反馈控制使得非线性系统线性化。文中在给出其基本概念的基础上,讨论了单输入单输出系统和多输入多输出系统的精确线性化方法及其在直升机控制中的应用。
This paper introduces briefly differential geometric approach for exact linearization of nonlinear systems. The method based on the concept of differential manifold linearizes nonlinear systems by diffeomorphisms and feedback transformations of state space. After the basic concepts are given, the exact linearization approach for single—input single—output and multi—input multi—output systems are discussed. Finally, a example for an application to the design of a helicopter autopilot is preserted.
出处
《飞行力学》
CSCD
北大核心
1993年第2期1-9,25,共10页
Flight Dynamics
关键词
非线性系统
微分几何法
直升机
Nonlinear system Differential geometric approach Exact linearization Helicopter