CAJ | 학술논문

一类拟单边Lipschitz非线性系统的观测器设计问题．基于拟单边Lipschitz条件，给出一系列这类非线性系统观测器存在性的充分条件，这些条件至少是已有文献中相关结论的补充，而且和已有文献中的结论相比，所给出的充分条件要减少保守性．论文表明了对于大多数非线性系统观测器的设计而言，拟单边Lipschitz常数矩阵要优于单边Lipschitz常数和传统的Lipschitz常数．需要指出的是所提出的方法不仅可以直接应用于一些重要的Lipschitz非线性系统，对于拟单边Lipschitz非线性系统而非通常的Lipschitz非线性系统也同样适用．最后，仿真算例验证了结论的可行性．
일류의단변Lipschitz비선성계통적관측기설계문제．기우의단변Lipschitz조건，급출일계렬저류비선성계통관측기존재성적충분조건，저사조건지소시이유문헌중상관결론적보충，이차화이유문헌중적결론상비，소급출적충분조건요감소보수성．논문표명료대우대다수비선성계통관측기적설계이언，의단변Lipschitz상수구진요우우단변Lipschitz상수화전통적Lipschitz상수．수요지출적시소제출적방법불부가이직접응용우일사중요적Lipschitz비선성계통，대우의단변Lipschitz비선성계통이비통상적Lipschitz비선성계통야동양괄용．최후，방진산례험증료결론적가행성．
In this systems is investigated paper, the observer design for the class of quasi - one - sided Lipschitz nonlinear Based on the quasi- one- sided Lipschitz condition, we propose sufficient conditions of the existence of the observers for the class of nonlinear systems, these conditions are complements of those based on Lipschitz condition in literature at least, and some of these conditions are less conservative than those in literature. This paper shows that the one - sided Lipschitz constant matrix is superior to the one - sided Lipschitz constant and Lipschitz constant for observer design of a large number of nonlinear systems. It should be noticed that some of the present results are directly applicableto not only the important class of the Lipschitz nonlinear systems but also the quasi - one - sided Lipschitz nonlinear systems which are not the usual Lipschitz nonlinear systems. Some examples are given to illustrate the proposed approach.