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  • 标题:State estimation for discrete-time systems with generalized Lipschitz nonlinear dynamics
  • 本地全文:下载
  • 作者:Dazhong Wang ; Fang Song ; Wei Zhang
  • 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
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