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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,得到渐进稳定姿态控制律。最后通过仿真证明了本控制方法的有效性。
The asymptotic stability control of a class of nonlinear systems is studied. Firstly, the state variables of the nonlinear system model are transformed nonlinearly, and then the nonlinear system is transformed into an asymptotically stable linear system by using the nonlinear state feedback method. The corresponding nonlinear control law is obtained. Applying the results of this paper to the attitude control system of an aircraft, the asymptotic stability attitude control law is obtained. Finally, the simulation proved the effectiveness of this control method.