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

Observer-Based Fuzzy Control Design for Discrete-Time T-S Fuzzy Bilinear Stochastic,Systems with Infinite-Distributed Delays
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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.
作者 Jiangrong Li Junmin Li Wei Wang
机构地区 College of Mathematics and Computer Science School of Science School of Mathematics and Science
出处 《Journal of Mathematics and System Science》 2014年第5期327-337,共11页 数学和系统科学（英文版）
关键词 T-S fuzzy system stochastic bilinear system infinite-distributed delays OBSERVER piecewise Lyapunov function 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
分类号 TP271 [自动化与计算机技术—检测技术与自动化装置] TP273.4 [自动化与计算机技术—控制科学与工程]
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共引文献10

Journal of Mathematics and System Science
2014年 第5期

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