非线性系统基于降维状态观测器的反馈稳定化设计

Feedback Stabilization Design of Nonlinear Systems Based on Reduced-Order State Observers

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。

This paper deals with the problem of feedback stabilization of a class of affine nonlinear control systemsA new method of nonlinear feedback control based on reduced-order state observers is proposed,and the asymptotic stability is proved for the corresponding closed-loop systemsThe observers is nonlinear,its gain matrices and controller gain matrices can be chosen independentlyFinally,simulation results are given to illustrate the effectiveness of this approach