Nonfragile Robust H∞ Filter Design for a Class of Fuzzy Stochastic Systems with Stochastic Input-to-State Stability. (20th January 2015)

• Record Type: Journal Article
• Authors: Li, Ze; Gu, Feng; He, Yuqing; Hao, Wanjun
• Other Names: Shen Bo Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-01-20
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/896574
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : The nonfragileH ∞ filtering problem for a kind of Takagi-Sugeno (T-S) fuzzy stochastic system which has a time-varying delay and parameter uncertainties has been studied in this paper. Sufficient conditions for stochastic input-to-state stability (SISS) of the fuzzy stochastic systems are obtained. Attention is focused on the design of a nonfragileH ∞ filter such that the filtering error system can tolerate some level of the gain variations in the filter and theH ∞ performance level also could be satisfied. By using the SISS result, the approach to design the nonfragile filter is proposed in terms of linear matrix inequalities. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed method.