| 基于静态输出反馈的非脆弱H2/广义H2控制 |
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| 引用本文： | 刘树博,赵丁选,尚涛.基于静态输出反馈的非脆弱H2/广义H2控制[J].沈阳工业大学学报,2011,33(3):338-342. |
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| 作者姓名： | 刘树博 赵丁选 尚涛 |
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| 作者单位： | 吉林大学机械科学与工程学院;东华理工大学机械与电子工程学院 |
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| 基金项目： | 教育部新世纪优秀人才资助项目;吉林大学“985工程”汽车科技创新平台资助项目(450022102002) |
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| 摘 要： | 针对传统鲁棒控制器脆弱性比较明显的情况，研究了控制器增益存在摄动时的非脆弱H2/广义H2静态输出反馈控制问题.以双线性矩阵不等式（BMI）组的形式给出了非脆弱静态输出反馈控制器存在的充要条件，给出了基于差分进化算法（DE）与线性矩阵不等式（LMI）的新型求解方法，并依据此方法设计了主动悬架非脆弱H2/广义H2静态输出反馈控制器.仿真结果表明，非脆弱H2/广义H2控制器具有良好的非脆弱性和鲁棒性，证实了所提方法的可行性与有效性.
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| 关 键 词： | 双线性矩阵不等式 线性矩阵不等式 静态输出反馈 差分进化算法 H2/广义H2控制 非脆弱性 鲁棒性 主动悬架 |
Non-fragile H2/generalized H2 control based on static output feedback |
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| LIU Shu-bo,ZHAO Ding-xuan,SHANG Tao.Non-fragile H2/generalized H2 control based on static output feedback[J].Journal of Shenyang University of Technology,2011,33(3):338-342. |
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| Authors: | LIU Shu-bo ZHAO Ding-xuan SHANG Tao |
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| Affiliation: | 1(1.College of Mechanical Science and Engineering,Jilin University,Changchun 130025,China;2.East China Institute of Technology,Nanchang 330013,China) |
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| Abstract: | In order to overcome the obvious fragility of traditional robust controller, the problem of non fragileH2 generalized H2 static output feedback control with the controller gain perturbation was studied. The sufficient and necessary condition for the existence of non fragile static output feedback controller was presented via a set of bilinear matrix inequalities （BMIs）, and new resolving method based on differential 〖JP3〗evolution （DE） algorithm and linear matrix inequality （LMI） was derived. And the non fragile H2/generalized H2 static output feedback controller for active suspension was designed. The simulation results show that the non fragile H2/generalized H2 controller has good robustness and non fragility. The feasibility and effectiveness of the proposed method are proved. |
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| Keywords: | bilinear matrix inequality linear matrix inequality static output feedback differential evolution algorithm H2/generalized H2 control non-fragility robustness active suspension |
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