| 广义双线性系统的变结构控制 |
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| 引用本文： | 梁家荣,兰奇逊,郭文.广义双线性系统的变结构控制[J].系统工程与电子技术,2008,30(9). |
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| 作者姓名： | 梁家荣 兰奇逊 郭文 |
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| 作者单位： | 1. 广西大学计算机与电子信息学院,广西,南宁,530004
2. 广西大学数学与信息科学学院,广西,南宁,530004 |
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| 基金项目： | 国家自然科学基金，教育部跨世纪优秀人才培养计划 |
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| 摘 要： | 利用广义Lyapunov函数方法研究广义双线性系统的变结构控制问题.首先,考虑确定的广义双线性系统,通过引进滑动模动态补偿器来选取切换面,进而设计变结构控制器以保证闭环系统的渐近稳定性.其次,用类似的方法给出了不确定广义双线性系统的变结构控制设计,有效地解决了不确定广义双线性系统的变结构控制问题.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 变结构控制 切换函数 动态补偿器 渐近稳定性 |
Variable structure control of singular bilinear systems |
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| LIANG Jia-rong,LAN Qi-xun,GUO Wen.Variable structure control of singular bilinear systems[J].System Engineering and Electronics,2008,30(9). |
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| Authors: | LIANG Jia-rong LAN Qi-xun GUO Wen |
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| Abstract: | The generalized Lyapunov function is employed to study the problem of variable structure control of singular bilinear systems(SBS).Firstly,the SBS is considered.In order to guarantee the stability of the closed-loop system,the sliding surface is chosen by employing a sliding mode compensator,moreover the variable structure controller is designed.Secondly,the designing of variable structure controller of SBS with uncertainty is presented by the similar method,and the problem of variable structure control to singular bilinear systems is solved effectively.Furthermore,the rationality and the effectiveness of the proposed method are illustrated by a numerical example. |
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| Keywords: | singular bilinear system variable structure control switching function dynamic compensator asymptotical stability |
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