| 鲁棒极点配置约束下的模糊控制系统设计 |
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| 引用本文： | 苗志宏,李洪兴.鲁棒极点配置约束下的模糊控制系统设计[J].控制理论与应用,2004,21(5):729-734. |
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| 作者姓名： | 苗志宏 李洪兴 |
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| 作者单位： | 1. 中国人民武装警察部队学院,基础部,河北,廊坊,065000
2. 北京师范大学,数学系,北京,100875 |
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| 基金项目： | 国家自然科学基金资助项目(60174013); 教育部博士点基金资助项目(20020027013); 教育部科学技术重点项目(03184); 973国家重大基础研究计划基金资助项目(2002CB312200). |
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| 摘 要： | 针对一类利用T-S模糊模型近似描述的不确定非线性系统,给出了一种具有鲁棒极点配置功能的模糊控制器和模糊状态观测器的设计方法.首先,利用并行分配补偿(PDC)设计思想和基于线性矩阵不等式(LMI)的鲁棒极点配置理论,得到了使整个闭环系统全局渐近稳定并满足希望的动态性能的充分条件.然后将这些条件转化为标准的LMI问题.最后将该设计方法应用于倒立摆的平衡控制中,验证了本方法的有效性.
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| 关 键 词： | 模糊控制器 模糊状态观测器 鲁棒极点配置 线性矩阵不等式 |
| 文章编号： | 1000-8152(2004)05-0729-06 |
| 收稿时间： | 9/8/2003 12:00:00 AM |
Design of fuzzy control system with robust pole placement constraints |
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| MIAO Zhi-hong,LI Hong-xing.Design of fuzzy control system with robust pole placement constraints[J].Control Theory & Applications,2004,21(5):729-734. |
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| Authors: | MIAO Zhi-hong LI Hong-xing |
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| Affiliation: | Department of Basic Science,The Chinese People's Armed Police Force Academy,Langfang Hebei 065000,China; Department of Mathematics,Beijing Normal University,Beijing 100875, China |
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| Abstract: | A method of designing fuzzy controllers and fuzzy state observers with robust pole placement constraints for a class of uncertain nonlinear systems approximatively expressed by Takagi-Sugeno(T-S) fuzzy dynamic model was proposed.Firstly,based on the concept of the prallel distributed compensation(PDC) and the theory of robust pole placement,a sufficient condition which guarantees global asymptotic stability of the whole system and satisfies desired performance was obtained.Then,the condition was converted to a standard linear matrix inequalities(LMI) problem in the design procedures.Finally,the simulation of an inverted pendulum verified the effectiveness of the design method. |
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| Keywords: | fuzzy controller fuzzy state observer robust pole llacement linear matrix inequalities |
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