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Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 310915, 7 pages
Research Article

Filtering of Time-Varying Nonlinear Systems with Randomly Occurring Output Degradation

The 28th Research Institute of China Electronics Technology Group Corporation, Nanjing 210007, China

Received 13 September 2013; Accepted 22 October 2013

Academic Editor: Lifeng Ma

Copyright © 2013 Zhengwang Jia and Yongcheng Sun. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper deals with the filtering problem for nonlinear systems with randomly occurring output degradation phenomenon. Such a phenomenon is described by a stochastic variable which obeys the Bernoulli distribution with probability known priorly. A sufficient condition is derived for the nonlinear system to reach the required performance. An iterative algorithm is then proposed to obtain the filter parameters recursively by solving the corresponding linear matrix inequality. A numerical example is presented to show the effectiveness of the proposed method.