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本文研究了一类仿射非线性控制系统的反馈稳定化问题。提出一种基于非线性降维状态观测器的反馈稳定化控制器的设计方法，证明了反馈后的闭环系统的渐近稳定性。文中设计的降维状态观测器是非线性的，其增益矩阵的选取与控制器反馈增益矩阵的选取相互独立。最后给出了仿真研究，结果表明该设计方案是有效的。
In this paper, the feedback stabilization of a class of affine nonlinear control systems is studied. A design method of feedback stabilization controller based on nonlinear dimensionality reduction state observer is presented. The asymptotic stability of feedback closed-loop system is proved. The dimensionality reduction state observer designed in this paper is non-linear. The selection of gain matrix and the gain feedback matrix of the controller are independent of each other. Finally, a simulation study is given and the results show that the design scheme is effective.