不确定T-S模糊系统鲁棒非脆弱H_∞控制  

Non-fragile robust control of uncertain systems of T-S model

作　　者：岳菊梅[1] 李俊民[1] 闫永义[1] 

机构地区：[1]西安电子科技大学理学院,陕西西安710071

出　　处：《系统工程与电子技术》2008年第5期909-913,共5页Systems Engineering and Electronics

基　　金：国家自然科学基金资助课题(60374015)

摘　　要：针对具有状态和输入不确定性的连续时间非线性模糊Takagi-Sugeno(T-S)系统模型,研究了其H∞稳定和模糊非脆弱控制器的设计问题。基于Lyapunov函数稳定性分析理论,采用PDC基本思想和LMI方法,在控制器参数具有加性和乘性摄动的前提下,设计出了其非脆弱H∞模糊控制器,使闭环系统对允许的不确定参数具有H∞稳定。实例仿真结果验证了该控制器设计方法的有效性和可行性。The generalized H∞ stabilization and the fuzzy controller design problems are studied for a class of continuous nonlinear systems described in T-S fuzzy model, which has uncertainties in state and input. The non-fragile H fuzzy controller is designed based on piecewise Lyapunov function theory, PDC and linear matrix inequation method, which ensure the asymptotically stability and the H∞ performance of the resulting closedloop systems for all admissible uncertainties. The simulation is presented to show the feasibility and effectiveness of the proposed method.

关 键 词：不确定连续非线性模糊系统 T-S模糊模型 并行分布补偿 线性矩阵不等式 LYAPUNOV函数 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]