| 离散模糊双线性关联大系统的广义H2分散控制 |
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| 引用本文： | 李江荣,李俊民,夏志乐. 离散模糊双线性关联大系统的广义H2分散控制[J]. 系统工程与电子技术, 2010, 32(10): 2203-2209. DOI: 10.3969/j.issn.1001-506X.2010.10.39 |
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| 作者姓名： | 李江荣 李俊民 夏志乐 |
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| 作者单位： | 1. 西安电子科技大学理学院, 陕西 西安 710068; ;2. 延安大学计算机学院, 陕西 延安716000; ;3. 台州学院数信学院, 浙江 台州 317000 |
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| 基金项目： | 国家自然科学基金,中央高校基本科研业务费专项资金资助课题 |
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| 摘 要： | 基于分段二次Lyapunov函数稳定性理论,研究了一类离散模糊双线性关联大系统广义H2分散控制问题。模糊双线性关联大系统由J个相互关联的离散T-S模糊双线性系统组成。通过构造分段Lyapunov函数,给出了系统二次稳定的充分性条件。在此基础上,设计了广义H2分散状态反馈控制器,使闭环系统广义H2稳定,控制器的设计可以通过序列线性规划矩阵方法求解得到。仿真结果表明所提方法的有效性。
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| 关 键 词： | 模糊双线性系统 广义H2分散控制 分段二次Lyapunov函数 模糊关联大系统 |
Generalized H2 decentralized control for discrete fuzzy bilinear large-scale systems |
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| LI Jiang-rong,LI Jun-min,XIA Zhi-le. Generalized H2 decentralized control for discrete fuzzy bilinear large-scale systems[J]. System Engineering and Electronics, 2010, 32(10): 2203-2209. DOI: 10.3969/j.issn.1001-506X.2010.10.39 |
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| Authors: | LI Jiang-rong LI Jun-min XIA Zhi-le |
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| Affiliation: | 1. School of Science, Xidian Univ., Xi’an 710068, China; ;2. Coll. of Mathematics and Computer Science, Yan’an Univ., Yan’an 716000, China; ;3. School of Mathematics and Information Engineering, Taizhou Univ., Taizhou 317000, China |
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| Abstract: | This paper is concerned with generalized H2 decentralized control for discrete-time fuzzy bilinear large-scale systems based on piecewise Lyapunov function.The fuzzy large-scale systems consist of J interconnected discrete-time T-S fuzzy bilinear systems. The stability sufficient condition of the discrete-time fuzzy bilinear systems is derived via constructing a piecewise quadratic Lyapunov function. The generalized H2 decentralized state-feedback controller is also designed by using sequentially linear programming matrix method (SLPMM), which ensures the generalized H2 stability of closed-loop systems. The simulation example shows the effectiveness of the proposed method. |
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| Keywords: | fuzzy bilinear system 2 decentralized controlzz')" href=" #" > generalized H2 decentralized control piecewise Lyapunov function fuzzy large-scale system |
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