| 一类不确定系统的保性能变结构控制 |
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| 引用本文： | 李亚男,王玉光. 一类不确定系统的保性能变结构控制[J]. 四川师范大学学报(自然科学版), 2011, 34(5): 663-666. DOI: 10.3969/j.issn.1001-8395.2011.05.014 |
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| 作者姓名： | 李亚男 王玉光 |
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| 作者单位： | 1. 河南理工大学万方科技学院,河南焦作,454000
2. 宁夏大学数学计算机学院,宁夏银川,750021 |
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| 基金项目： | 国家自然科学基金(60673187)资助项目 |
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| 摘 要： | 针对一类不确定系统,提出了保性能变结构控制器的设计方法,首先设计了一个切换面,利用状态变换和线性矩阵不等式给出了滑动模态的存在条件和算法,使得滑动模态不仅渐近稳定而且满足给定的性能指标.其次利用模糊逻辑系统的万有逼近性能,设计了一种变结构模糊控制律,该控制律能使空间任意点出发的系统状态都在有限时间内到达切换面并渐近到达原点.最后,一个仿真例子说明了所给方法的有效性和可行性.
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| 关 键 词： | 自适应模糊控制器 时滞 不确定性 线性矩阵不等式 |
Guaranteed Cost Variable Structure Control of a Class of Uncertain Systems |
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| LI Ya-nan,WANG Yu-guang. Guaranteed Cost Variable Structure Control of a Class of Uncertain Systems[J]. Journal of Sichuan Normal University(Natural Science), 2011, 34(5): 663-666. DOI: 10.3969/j.issn.1001-8395.2011.05.014 |
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| Authors: | LI Ya-nan WANG Yu-guang |
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| Affiliation: | 1.Wanfang Institute of Science and Technology,Henan Polytechnic University,Jiaozuo 454000,Henan; 2.School of Mathematics and Computer Science,Ningxia University,Yinchuan 750021,Ningxia) |
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| Abstract: | We propose a guaranteed cost variable structure design method.Firstly,a guaranteed cost sliding mode is given by the state transfer and linear matrix inequalities,which not only makes sliding mode asymptotically stable,but also satisfies a prescribed performance index.Secondly,fuzzy sliding mode control is designed to drive the system to reach and remain in sliding mode and system can asymptotically reach the equilibrium point.Finally,a simulation example is shown to illustrate the validity and feasibility of the proposed method. |
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| Keywords: | self-adaptation fuzzy control time lag uncertainty linear matrix inequality(LMI) |
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