Observer-Based Fuzzy Control Design for Discrete-Time T-S Fuzzy Bilinear Stochastic,Systems with Infinite-Distributed Delays

作     者：Jiangrong Li Junmin Li Wei Wang 

作者机构：College of Mathematics and Computer Science Yanan University Yan 'an 716000 P. R. China School of ScienceXidian University Xi 'an 710071 P. R. China School of Mathematics and Science Shijiangzhuang University of Economics Sho'iazhuang 050031 P.R. China 

出 版 物：《Journal of Mathematics and System Science》 (数学和系统科学（英文版）)

年 卷 期：2014年第4卷第5期

页      码：327-337页

摘      要：This paper is concerned with the problem of observer-based fuzzy control design for discrete-time T-S fuzzy bilinear stochastic systems with infinite-distributed delays. Based on the piecewise quadratic Lyapunov functional (PQLF), the fuzzy observer-basedcontrollers are designed for T-S fuzzy bilinear stochastic systems. It is shown that the stability in the mean square for discrete T-S fuzzy bilinear stochastic systems can be established if there exists a set of PQLF can be constructed and the fuzzy observer-based controller can be obtained by solving a set of nonlinear minimization problem involving linear matrix inequalities (LMIs) constraints. An iterative algorithm making use of sequential linear programming matrix method (SLPMM) to derive a single-step LMI condition for fuzzy observer-based control design. Finally, an illustrative example is provided to demonstrate the effectiveness of the results proposed in this paper.

主 题 词：线性随机系统 模糊观测器 控制设计 无穷时滞 双线性 TS 离散 分布系统 

学科分类：0711[理学-心理学类] 07[理学] 08[工学] 081104[081104] 0802[工学-机械学] 0835[0835] 0811[工学-水利类] 071102[071102] 081103[081103] 080201[080201] 

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