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基于LMI的CDF方法在倒立摆控制中的应用研究
引用本文:刘瑞丽,代冀阳,邹水木.基于LMI的CDF方法在倒立摆控制中的应用研究[J].南昌航空工业学院学报,2007,21(1):21-25.
作者姓名:刘瑞丽  代冀阳  邹水木
作者单位:南昌航空工业学院自动化学院 江西南昌330063
摘    要:基于单级倒立摆这一非线性系统的T-S模糊模型,提出了一种采用模糊模型相除补偿技术和LMI技术相结合的模糊控制器设计方法,并在MATLAB/Simulink上进行了仿真试验。仿真结果表明,该方法与基于LMI的PDC方法相比,具有调节时间短,保守性更小的特点,规则越多,优势越明显,非常适用于复杂非线性系统的控制。

关 键 词:单级倒立摆  T-S模糊模型  模糊模型相除补偿法  线性矩阵不等式  区域极点配置
文章编号:1001-4926(2007)01-0021-05
修稿时间:2007-02-20

Research on application of CDF method based on LMI in pendulum control
LIU Rui-li,DAI Ji-yang,ZOU Shui-mu.Research on application of CDF method based on LMI in pendulum control[J].Journal of Nanchang Institute of Aeronautical Technology(Natural Science Edition),2007,21(1):21-25.
Authors:LIU Rui-li  DAI Ji-yang  ZOU Shui-mu
Institution:Nanchang Institute of Aeronautical Technology, Nanchang, JiangXi 33006, China
Abstract:Based on the T-S fuzzy model of the single-inverted pendulum,a design method of fuzzy controller is presented by using the concept of CDF(compensation and division for fuzzy model) and the approach of linear matrix inequality.Also,the simulation is done based on MATLAB/Simulink.The result of simulation shows that CDF based on LMI can adjust more quickly than PDC based on LMI.It is also shown that the controller with concept of CDF is less conservative than that with PDC.The more rules,the more advantages.It is very suitable for the complex nonlinear systems.
Keywords:single-inverted pendulum  T-S fuzzy model  compensation and division for fuzzy models  linear matrix inequality  regional pole assignment
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