摘要
讨论一阶非线性系统观测器设计问题,引入单边Lipschitz条件估计观测器上的非线性变量函数,在此条件基础上得出一阶非线性系统观测器存在的充分条件,该充分条件比以往文献中的结果限制要少.结论表明,如此系统的非线性观测器的稳定性只取决于线性稳定矩阵的特征根,则得到一种系统的计算方法,保证一阶系统观测器设计的渐进稳定.
In this note, observer design of a class of non - linear systems is considered. The one - sided Lipschitz condition is introduced to estimate the influence of nonlinear vector functions on the observer. Based on the one - sided Lipschitz condition, sufficient conditions for the existence of observers of the class of nonlinear systems are presented which are less conservative than the results based on Lipschitz condition in literature. Our results show that the stability of the nonlinear observers for such systems is determined purely by the eigenvalues of the linear stability matrix. Based on these results, a systematic computational algorithm is then presented to achieve the objective of asymptotic stability.
出处
《哈尔滨师范大学自然科学学报》
CAS
2008年第4期24-26,39,共4页
Natural Science Journal of Harbin Normal University
基金
黑龙江省教育厅基金项目(11513044)
