Nonfragile Robust H infinity Filter Design for a Class of Fuzzy Stochastic Systems with Stochastic Input-to-State Stability

Li Ze; Gu Feng; He Yuqing; Hao Wanjun

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Nonfragile Robust H infinity Filter Design for a Class of Fuzzy Stochastic Systems with Stochastic Input-to-State Stability

机译：一类具有随机输入到状态稳定性的模糊随机系统的非脆弱鲁棒H无限滤波器设计

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The nonfragile H-infinity 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 nonfragile H-infinity filter such that the filtering error system can tolerate some level of the gain variations in the filter and the H-infinity 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.

机译：研究了具有时变时滞和参数不确定性的Takagi-Sugeno（T-S）模糊随机系统的非脆弱H-无限滤波问题。获得了模糊随机系统的随机输入状态稳定性（SISS）的充分条件。注意集中在非脆弱的H-无限滤波器的设计上，使得滤波误差系统可以容忍滤波器中的增益变化的一定水平，并且也可以满足H-无限性能水平。利用SISS结果，提出了一种基于线性矩阵不等式的非脆弱滤波器设计方法。最后，给出一个说明性的例子来证明所提出方法的有效性。

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《Mathematical Problems in Engineering》 |2015年第1期|896574.1-896574.10|共10页
作者
Li Ze; Gu Feng; He Yuqing; Hao Wanjun;
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Chinese Acad Sci, Shenyang Inst Automat, State Key Lab Robot, Shenyang 110016, Peoples R China.;

Chinese Acad Sci, Shenyang Inst Automat, State Key Lab Robot, Shenyang 110016, Peoples R China.;

Chinese Acad Sci, Shenyang Inst Automat, State Key Lab Robot, Shenyang 110016, Peoples R China.;

Suzhou Univ Sci & Technol, Coll Elect & Informat Engn, Suzhou 215009, Peoples R China.;

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1. Nonfragile RobustH∞Filter Design for a Class of Fuzzy Stochastic Systems with Stochastic Input-to-State Stability [J] . ZeLi, FengGu, YuqingHe, Mathematical Problems in Engineering: Theory, Methods and Applications . 2015,第3期

机译：一类具有随机输入状态稳定性的模糊随机系统的非脆弱鲁棒H∞滤波器设计
2. Nonfragile RobustH∞Filter Design for a Class of Fuzzy Stochastic Systems with Stochastic Input-to-State Stability [J] . ZeLi, FengGu, YuqingHe, Mathematical Problems in Engineering: Theory, Methods and Applications . 2015,第5期

机译：一类具有随机输入状态稳定性的模糊随机系统的非脆弱鲁棒H∞滤波器设计
3. Stochastic input-to-state stability and H_∞ filtering for a class of stochastic nonlinear systems [J] . Feng Zhao, Qingling Zhang, Xing-Gang Yan, Applied mathematics and computation . 2014,第Null期

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4. On Design of Robust H_(infinity) Filters for Uncertain Markovian Stochastic Systems [C] . Xiuming Yao, Ligang Wu, Wei Xing Zheng IEEE International Symposium on Circuits and Systems . 2010

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5. Robust Stability and Stabilization of a Class of Non-Linear Discrete-Time Stochastic Systems. [D] . Strong, Andre' J. 2011

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6. Robust H∞ Filtering for a Class of Complex Networks with Stochastic Packet Dropouts and Time Delays [O] . Jie Zhang, Ming Lyu, Hamid Reza Karimi, -1

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Nonfragile Robust H infinity Filter Design for a Class of Fuzzy Stochastic Systems with Stochastic Input-to-State Stability

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