摘要
研究离散 T-S 模糊系统的输出反馈镇定及输出反馈 H_∞控制问题.通过引入松弛变量,将离散 T-S 模糊系统的输出反馈镇定问题归结为求解一组线性矩阵不等式(LMIs),进而给出基于 LMI 的输出反馈 H_∞控制器的设计方法.该方法的优点是,不仅可以用来设计阶数与原系统相等的全阶动态输出反馈控制器,还可以设计降阶动态输出反馈控制器和静态输出反馈控制器.最后通过仿真算例演示控制器设计方法.
This paper investigates the problems of stabilization and control for discrete T-S fuzzy systems using output feedbaek controller. By introducing a slack variable, the stabilization problem of discrete T-S fuzzy systems is converted into an LMI (linear matrix inequality) feasibility problem, and an LMI based design method for output feedback H∞ controller is presented. The advantage of the method given here is that it can not only design the full-order dynamic feedback controller but also can design a reduced order feedback controller and static feedback eontroller. A numerical example is given to illustrate the controller design method.
出处
《系统工程学报》
CSCD
北大核心
2008年第5期513-518,共6页
Journal of Systems Engineering
基金
国家自然科学基金资助项目(60574011)
辽宁省自然科学基金资助项目(20052022)