一类满足Lipschitz条件的非线性系统观测器设计

摘要

运用微分方程方法，讨论了一类满足Lipschitz条件的非线性系统观测器的设计，结论表明稳定观测器的存在不仅与系统矩阵的特征值有关，而且与矩阵对距离不可观测对的大小有关。给出的代数设计方法以条件数最小为目标准则，根据梯度下降法原理，用MATLAB编写代码，设计者只须提供初值，程序即自动完成观测器设计。文末给出了示例。%This paper presents a new design method of observers for the class of nonlinear systems with Lipschtz nonlinearity,our results show that the stability of the nonlinear observers for such systems is not determined purely by the Eigenvalues of the linear stability matrix.For the purpose of the observer design,a systematic computational procedure based on the gradient principle is developed to enable asymptotically stable observer design for systems in this class.Finally an example is given to illustrate our results.