一类非线性系统渐近稳定控制方法及其应用

研究了某一类非线性系统渐近稳定控制问题，首先对非线性系统模型的状态变量进行非线性变换，然后采用非线性状态反馈方法将原非线性系统变换为一渐近稳定的线性系统，得到了相应的非线性控制律。把本文研究的结果应用于某飞行器的姿态控制系统中，得到渐近稳定姿态控制律。最后通过仿真证明了本控制方法的有效性。

An asymptotically stabilizing control method for some nonlinear systems and its application

The control problem of some nonlinear systems is studied. First, the nonlinear model's state variables are transformed by employing nonlinear transformation. Then, with thenonlinear state feedback method, an asymptotically stabilized linear system is obtained corresponding to the former nonlinear one and the nonlinear control law is also derived. By applying the obtained result to the attitude control system of a spacecraft, an asymptoticallystabilizing control law is gained. The simulation result proves the validity of this controlmethod.