一类非线性系统观测器设计的新方法

研究一类非线性系统的观测器设计问题。应用微分中值定理转化误差动态系统为等价系统。使用凸理论并结合构造Lyapunov函数,给出非线性误差动态渐近趋于零的三个充分条件,并提出观测器增益矩阵的构造方法。提出的方法既能用于连续非线性系统,也可用于离散非线性系统。最后,通过一个数值例子验证了所得结果的有效性。

New methodology for observer design of a class of nonlinear systems

The problem of observer design for a class of nonlinear systems is investigated.Using the differential mean value theorem,the nonlinear error dynamics are transformed into equivalent systems.By using the convexity theory and constructing the Lyapunov function,three sufficient conditions are obtained,which guarantee that the estimation error converges asymptotically towards zero.An approach to constructing the observer gain is presented.The proposed approach can be applied in both continuous and discrete time nonlinear systems.Finally,a numerical example is provided to illustrate the effectiveness of the obtained result.