| 连续线性状态饱和系统鲁棒稳定性分析 |
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| 引用本文： | 张象林,陈东彦.连续线性状态饱和系统鲁棒稳定性分析[J].哈尔滨理工大学学报,2012,17(2):31-35. |
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| 作者姓名： | 张象林 陈东彦 |
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| 作者单位： | 1. 哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080;大庆师范学院发展规划处,黑龙江大庆163712
2. 哈尔滨理工大学应用科学学院,黑龙江哈尔滨,150080 |
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| 摘 要： | 本文研究带有不确定性的线性状态饱和系统的鲁棒稳定性,针对不确定性参数满足的范数有界不确定性结构,利用Lyapunov方法,结合状态饱和函数的凸组合表示,给出了系统在原点大范围渐近稳定的充分条件,并将该条件转化为线性矩阵不等式形式.进而给出了系统状态反馈控制器的设计方法,以及判断系统鲁棒稳定性和设计状态反馈控制器的算法,并利用数值算例及Matlab仿真证明了算法的有效性.
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| 关 键 词： | 渐近稳定 线性矩阵不等式 状态饱和 不确定性 |
Stability Analysis of Linear Continuous Uncertain System with State Saturation |
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| ZHANG Xiang-lin
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CHEN Dong-yan.Stability Analysis of Linear Continuous Uncertain System with State Saturation[J].Journal of Harbin University of Science and Technology,2012,17(2):31-35. |
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| Authors: | ZHANG Xiang-lin CHEN Dong-yan |
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| Affiliation: | 1(1.School of Applied Sciences,Harbin University of Science and Technology,Harbin 150080,China; 2.Department of College Development,Daqing Normal University,Daqing 163712,China) |
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| Abstract: | The robust stability problem is studied for state saturation system with uncertainties.For norm bounded uncertainty,the sufficient condition which the system is globally asymptotically stable is obtained by using Lyapunov method and the convex combination of state saturation function.Then the sufficient condition is converted to linear matrix inequalities(LMIS).Further more,the state feedback controller which makes the system globally asymptotically stable is designed,and the algorithms which verify system robust stability and system feedback controller are provided.With the help of Matlab software and the numerical examples proved the efficiency of the algorithms. |
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| Keywords: | asymptotic stability linear matrix inequality(LMI) state saturation uncertainty |
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