参数不确定的广义T-S模糊系统的鲁棒H_∞控制  

Robust H_∞ control for fuzzy descriptor systems with uncertain parameters

作　　者：朱宝彦[1] 张庆灵[1] 

机构地区：[1]东北大学理学院

出　　处：《系统工程与电子技术》2006年第3期421-428,共8页Systems Engineering and Electronics

基　　金：辽宁省普通高校学科带头人基金资助课题(124210)

摘　　要：研究了参数不确定的广义T-S模糊系统鲁棒稳定、鲁棒镇定和鲁棒H∞控制问题;对所有容许的不确定参数,设计了状态反馈控制器,得到了使闭环系统渐近稳定并满足一定H∞性能指标的充分条件,用LMI方法表示了这些充分条件。这种表示克服了LMI工具箱的局限,从而可以一次完成系统渐近稳定的判定同时满足所要的性能指标。算例说明了这些条件的简易、有效性。The problems of robust stability, robust stabilization and robust H∞ control for T S fuzzy descriptor system with uncertain parameters are studied. For all admissible uncertainties, the state feedback controllers are designed. The sufficient conditions, which maintain the stability of the closed-loop system and satisfy the H∞-performance by means of the controller, are derived. They are expressed via LMI. These expressions bypass the shortcoming of the LMI toolbox, so the asymptotic stability is realized just once and the desired performance index is satisfied for the system. The simpleness and effectiveness are showed by an example.

关 键 词：不确定广义模糊系统 状态反馈控制器 鲁棒H∞ 控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]