| 基于线性矩阵不等式的参数不确定性关联模糊大系统的分散鲁棒镇定 |
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| 引用本文： | 张友刚,向 静,肖 建. 基于线性矩阵不等式的参数不确定性关联模糊大系统的分散鲁棒镇定[J]. 控制理论与应用, 2004, 21(3): 457-462 |
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| 作者姓名： | 张友刚 向 静 肖 建 |
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| 作者单位： | 西南交通大学,电气工程学院,四川,成都,610031;西南交通大学,经济管理学院,四川,成都,610031 |
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| 基金项目： | 国家自然科学基金项目(69774024). |
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| 摘 要： | 讨论了参数不确定性关联模糊大系统的分散鲁棒镇定问题,所考虑的参数不确定性满足范数有界条件.基于李雅普诺夫稳定性理论及大系统分散控制理论,采用分散化PDC(parallel distributed compensation)控制器,给出了保证该关联模糊大系统闭环渐近稳定的LMI形式的充分条件,通过MATLAB软件中的LMI工具箱可求解出这些LMI中的控制器参数.仿真例子说明了所提方法的有效性.
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| 关 键 词： | 模糊大系统 分散鲁棒镇定 线性矩阵不等式(LMI) |
| 文章编号： | 1000-8152(2004)03-0457-06 |
| 收稿时间： | 2003-01-27 |
| 修稿时间： | 2003-06-20 |
Linear matrix inequality based robust decentralized stabilization of interconnected fuzzy large-scale systems with parametric uncertainties |
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| ZHANG You-gang,XIANG Jing,XIAO Jian. Linear matrix inequality based robust decentralized stabilization of interconnected fuzzy large-scale systems with parametric uncertainties[J]. Control Theory & Applications, 2004, 21(3): 457-462 |
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| Authors: | ZHANG You-gang XIANG Jing XIAO Jian |
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| Affiliation: | School of Electrical Engineering, Southwest Jiaotong University, Chengdu Sichuan 610031,China; School of Economics and Management, Southwest Jiaotong University, Chengdu Sichuan 610031,China |
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| Abstract: | Robust decentralized stabilization problem for interconnected fuzzy large-scale systems with parametric uncertainties is considered. The parametric uncertainties are unknown but norm-bounded. Based on Lyapunov stability theory and decentralized control theory of large-scale system, sufficient conditions for asymptotic stability of the closed-loop fuzzy large-scale system with decentralized PDC (parallel distributed compensation) fuzzy controllers are given. These DPDC controllers can be found by solutions of the LMI-based sufficient conditions via LMI toolbox in MATLAB software. Finally a simulation example is given to show the validity of the proposed method. |
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| Keywords: | fuzzy large-scale system robust decentralized stabilization linear matrix inequality (LMI) |
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