基于LMI的多目标模糊状态反馈控制器设计研究  

A LMI-Based Systematic Design Method for the Fuzzy Control of Nonlinear Systems with Multi-Objective Requirements

作　　者：郝娟[1] 丁懿[1] 肖定国[1] 徐春广[1] 周世圆[1] 

机构地区：[1]北京理工大学机械与车辆工程学院,100081

出　　处：《电气应用》2006年第8期86-90,63,共6页Electrotechnical Application

摘　　要：为实现使系统同时满足多目标控制要求,并避免设计过程多次反复的目的,提出了基于LMI的多目标模糊状态反馈控制器的设计方法。该方法在TS模糊模型的基础上,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一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PDC方法得到整个系统的非线性模糊状态反馈控制器。应用于磁悬浮轴承系统,通过仿真试验,验证了该方法的有效性,系统同时满足稳定性、抗干扰特性及过渡过程特性多个目标要求。A LMI-based systematic design method for the fuzzy control of a class of nonlinear systems with multi-objective requirements is presented in order to satisfy multi-objective requirements simultaneously and avoid repeating design processes. Based on TS-fuzzy model, the method combines stable conditions of close-loop TS-fuzzy system, desired control performance and constraints on the control input into a framework of linear matrix inequalities （LMI）, and the parameters of controller can be obtained by convex programming techniques for LMI. And the fuzzy state feedback nonlinear controller for the overall system is obtained via PDC approaches. Through simulation, the effect of this method is proved. The system can satisfy multiobjective requirements of stability, desired control performance.

关 键 词：LMI 多目标 TS模糊模型 PDC 非线性 

分 类 号：TM571.6[电气工程—电器]