| 广义双线性系统的输出变结构控制 |
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| 引用本文： | 刘雅妹,兰奇逊,梁家荣.广义双线性系统的输出变结构控制[J].数学的实践与认识,2010,40(1). |
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| 作者姓名： | 刘雅妹 兰奇逊 梁家荣 |
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| 作者单位： | 1. 河南城建学院,数理系与基础教学部,河南,平顶山,467001
2. 广西大学,计算机与电子信息学院,广西,南宁,530004 |
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| 基金项目： | 教育部“新世纪优秀人才支持计划”专项基金项目(NECT-06-0756); 国家自然科学基金(60564001) |
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| 摘 要： | 首次利用广义Lyapunov函数方法针对不确定广义双线性系统的输出变结构控制问题进行研究.首先,选取设计了带有滑动模动态补偿器的切换函数,保证了系统在准切换流形上的渐近稳定性.其次,在不确定参数和扰动范数有界的条件下,设计了变结构控制器,使得在控制下闭环系统在有限时间内实现滑模运动.最后,通过数值算例说明了设计方法的合理性和有效性.
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| 关 键 词： | 广义双线性系统 输出变结构控制 切换函数 动态补偿器 渐近稳定性 |
Output Feedback Variable Structure Control of Singular Bilinear Systems |
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| LIU Ya-mei,LAN Qi-xun,LIANG Jia-rong.Output Feedback Variable Structure Control of Singular Bilinear Systems[J].Mathematics in Practice and Theory,2010,40(1). |
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| Authors: | LIU Ya-mei LAN Qi-xun LIANG Jia-rong |
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| Institution: | LIU Ya-mei1,LAN Qi-xun1,LIANG Jia-rong2(1.Departmant of Mathematics , Physics,Henan City Construction College,Pingdingshan 467001,China)(2.School of Computer , Electronic Information,Guangxi University,Nanning 530004,China) |
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| Abstract: | The problem of output feedback variable structure control of singular bilinear systems(SBS) with parameter uncertainty and disturbance by using generalized Lyapunov function firstly.Above all,a switching function with a dynamical compensator is chosen,such that asymptotically stability of SBS is guaranteed in the quasi-switching manifold.Secondly,when the uncertainty and the disturbance are norm bounded,a variable structure controller is designed,so that the solution trajectory of the closed SBS realizes sl... |
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| Keywords: | singular bilinear systems output feedback variable structure control switching function dynamic compensator asymptotical stability |
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