Observer design for general nonlinear system with linear output
带线性输出的一般非线性系统的观测器设计

Observer design for general nonlinear systems is a difficult area of control theory research till now. The problem of observer design for a class of general nonlinear system with linear output was studied. First, the general form of observer was established by differential mean value theorem, then using the "observer Lyapunov function" defined, a relaxed design method for the observer design for general nonlinear systems was offered. The proof of the asymptotical stabilization of the algorithm was also given. Through the analysis of two typical cases of general nonlinear systems and bilinear systems, the main result of the paper was proved to be feasible. Finally, through the construct process of observer design for a single pendulum system, it showed that the given algorithm is simple and easy to realize.