| 离散模糊双线性系统的广义H2控制 |
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| 引用本文： | 李丽,吕佳,白彦军. 离散模糊双线性系统的广义H2控制[J]. 江西科学, 2009, 27(4): 565-568 |
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| 作者姓名： | 李丽 吕佳 白彦军 |
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| 作者单位： | 延安大学计算机学院,陕西延安,716000;延安市人民医院,陕西延安,716000 |
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| 摘 要： | 针对离散模糊双线性系统的广义H2控制问题，基于分段李雅普诺夫稳定性理论，通过设计分段状态反馈控制器，得到了闭环分段模糊双线性系统广义H2稳定的充分条件，控制器的设计可以通过两步法把双线性矩阵不等式转化成求解一系列的线性矩阵不等式得到，数值仿真例子验证了这种控制器的设计方法的有效性和理论结果的正确性。
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| 关 键 词： | 模糊双线性系统 广义H2控制 分段二次李雅普诺夫函数 线性矩阵不等式 |
Generalized H2 Control for Discrete-fuzzy Bilinear Systems |
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| LI Li,LV Jia,BAI Yan-jun. Generalized H2 Control for Discrete-fuzzy Bilinear Systems[J]. Jiangxi Science, 2009, 27(4): 565-568 |
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| Authors: | LI Li LV Jia BAI Yan-jun |
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| Affiliation: | LI Li , LV Jia , BAI Yan-jun ( 1. College of Mathematics ＆ Computer Science Yan＇an University,Shanxi Yan＇an 716000 PRC; 2. Yan＇an People＇s Hospital,Shanxi Yan＇an 716000 PRC) |
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| Abstract: | The generalized H2 stabilization and the controller design problems are studied for discrete fuzzy bilinear systems, Base on the piecewise quadratic Lyapunov function theory piecewise state- feedback H2 controllers are designed. Some sufficient conditions are derived to guarantee the generalized H2 stability of the resulting closed-loop systems and the controller design involves solving a two- step procedure recasting an BMI into two linear matrix inequalities （LMIs）. A numerical simulation example is given to demonstrate effectiveness and applicability of the proposed approach. |
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| Keywords: | Fuzzy bilinear systems H2 control Piecewise Lyapunov function LMI |
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