Lipschitz非线性系统自适应观测器设计

对具有未知参数的Lipschitz非线性系统自适应观测器设计问题进行了讨论。首先，在一定的条件假设下，讨论了可同时辨识出系统常量参数的全维自适应观测器。然后，在同样的条件下，基于一坐标变换的方法，提出了一种降维自适应观测器设计方法。由此得出结论：具有常未知参数的Lipschitz非线性系统在同样的条件假设下，既可进行全维自适应观测器设计，也可进行降维自适应观测器设计。

Design of an Adaptive Observer for Lipschitz Nonlinear Systems

The problems of adaptive observer's design for Lipschitz nonlinear systems with unknown parameter were dealt with. First, the full order adaptive observer which can identify the unknown parameter was discussed under some assumptions. Then, under the same assumptions, a way to design the reduced order adaptive observers was developed based on a coordinate transformation. Finally, it was concluded that not only the full order adaptive observer but also the reduced order adaptive observer can be constructed under the identical assumptions.