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基于线性矩阵不等式的磁悬浮轴承多目标控制系统设计 被引量：2

A Design Method for the Magnetic Bearing Control System With Multi-objective Requirements via Linear Matrix Inequality Approach
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摘要 首先建立了磁悬浮轴承局部子系统线性Takagi-Sugeno(TS)模糊模型,利用单点模糊化、乘积推理和加权平均得到整个系统的非线性模型。针对以往非线性系统的单目标控制设计,提出了基于线性矩阵不等式(LMI)的多目标模糊控制系统的设计方法。该方法将闭环控制系统的稳定性、抗干扰性及极点配置的要求统一到1个线性矩阵不等式组中,通过求解线性矩阵不等式组获得满足要求的控制器参数,利用并行分布补偿控制(PDC)方法得到整个系统的非线性模糊状态反馈控制器,实现了系统同时满足多目标的要求,并且避免了设计过程的多次反复。应用于磁悬浮轴承非线性系统的控制中,通过实验验证了该设计方法的有效性。 Linear local Takagi-Sugeno（TS）-fuzzy models for magnetic bearing subsystem and nonlinear model for the overall system were given. Based on the TS-fuzzy model, a linear matrix inequality（LMI）-based design method for the fuzzy control of nonlinear systems with multi-objective requirements was presented. The method combines stable conditions of close-loop TS-fuzzy system, desired control performance and constraints on the control input into a framework of LMIs, and the parameters of controller can be obtained by convex programming techniques for LMls. The fuzzy state feedback nonlinear controller for the overall system was obtained via parallel-distributed compensation（PDC） approaches, which can satisfy multi-objective requirements simultaneously, and the method avoided the repeat of design process. Through application in the magnetic bearing control system, the effect of this method is proved.
作者 郝娟 丁懿 肖定国 徐春广 周世圆
机构地区 北京理工大学机械与车辆工程学院
出处 《中国电机工程学报》 EI CSCD 北大核心 2007年第9期110-114,共5页 Proceedings of the CSEE
关键词 线性矩阵不等式多目标控制 TS模糊模型 非线性 磁悬浮轴承 linear matrix inequality multi-objective control TS-fuzzy model nonlinear magnetic bearing
分类号 TP273 [自动化与计算机技术—检测技术与自动化装置]
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参考文献14

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共引文献48

同被引文献15

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引证文献2

二级引证文献7

中国电机工程学报
2007年 第9期

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