类Lyapunov非线性系统降维观测器设计

对一般形式的非线性系统,引入了Lyapunov稳定意义下观测器存在性的概念,讨论了降维观测器的存在性.指出若相对于一特别形式的Lyapunov函数在Lyapunov稳定意义下存在全维观测器,则还存在降维观测器,并给出了降维观测器之设计方法.为说明该方法的指导意义,用该方法相对于Lipschitz非线性系统给出了降维观测器设计,并对该设计相对于一具体模型进行了仿真分析,仿真结果表明了该设计方法的正确性及实用性.

Design of reduced-order observers fornonlinear systems via Lyapunov-like method

The existence and design methods for reduced_order observers for nonlinear systems are presented. After the concept of the existence of observer under the meaning of Lyapunov stability was introduced, the existence of reduced_order observer was studied based on the introduced concept.The conclusion was reached that if there is a full_order observer under the meaning of Lyapunov stability with respect to the special Lyapunov function, there also exists a reduced_order one with the same assumptions. A reduced_order observer design for Lipschitz nonlinear systems was then developed and the results of the simulation to an actual model showed that the design method has good performances.