文章基本信息

标题：State estimation for discrete-time systems with generalized Lipschitz nonlinear dynamics
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作者：Dazhong Wang ; Fang Song ; Wei Zhang 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：307
DOI：10.1186/s13662-015-0645-x
语种：English
出版社：Hindawi Publishing Corporation
摘要：This paper considers the state estimation problem for a class of discrete-time systems with generalized Lipschitz nonlinear dynamics. Under the assumption that the system nonlinearities satisfy a quadratically inner-boundedness condition, we design both the full-order observer and the reduced-order observer for the discrete-time nonlinear system. Sufficient conditions ensuring the existence of full-order observers as well as reduced-order observers for such systems are established and formulated in terms of linear matrix inequality (LMI). Compared with some existing results, we remove the one-sided Lipschitz restrict and extend the classical Lipschitz observer design to a larger class of discrete-time nonlinear systems. A numerical example is included to illustrate the effectiveness of the proposed design.
关键词：observer design ; quadratically inner-boundedness ; Lipschitz condition ; linear matrix inequality (LMI) ; discrete-time nonlinear systems