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研究一类仿射非线性系统的降维状态观测器设计问题。对于一类可以反馈线性化的非线性系统，提出了一种非线性降维状态观测器设计方案，并证明了状态观测误差的渐近收敛性。该降维观测器能保证估计状态以指数规律渐近趋近系统的真实状态，并且通过观测器增益参数的适当选取，可使状态估计误差以指定的收敛速度趋于零。最后给出了计算机仿真研究，仿真结果表明该设计方法是有效的。
A class of dimensionality reduction state observer design problem for a class of affine nonlinear systems is studied. For a class of nonlinear systems that can feedback linearization, a nonlinear dimensionality reduction state observer design is proposed and the asymptotic convergence of state observables errors is proved. The reduced-dimensional observer can ensure that the estimated state approaches the real state of the system exponentially asymptotically, and by properly selecting the observer gain parameters, the state estimation error tends to zero at the specified convergence rate. Finally, the computer simulation is given, and the simulation results show that the design method is effective.