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基于模糊方法的线性切换系统的鲁棒稳定与镇定
引用本文:景丽,高立群,欧新元.基于模糊方法的线性切换系统的鲁棒稳定与镇定[J].计算技术与自动化,2007,26(3):5-8.
作者姓名:景丽  高立群  欧新元
作者单位:[1]沈阳师范大学数学与系统科学学院,辽宁沈阳110034 [2]东北大学信息科学与工程学院,辽宁沈阳110004
基金项目:辽宁省自然科学基金(2001101026)
摘    要:目前的切换方法大多都是精确切换,但是实际系统由于干扰或执行延迟等原因,常常不能按照精确的切换条件进行切换,这直接威胁系统的稳定性,因此提出切换系统要进行模糊切换的,以切换系统在模糊切换下的稳定性条件为基础.研究模糊切换下的切换系统的鲁棒稳定、镇定问题,并提出系统鲁棒稳定、镇定的充分条件.大量的仿真结果证实,提出的使切换系统鲁棒稳定、镇定的模糊方法是切实有效的.

关 键 词:线性切换系统  镇定  鲁棒稳定  T-S模糊模型  隶属度函数  模糊方法  线性切换系统  鲁棒稳定  镇定问题  Strategy  Switching  Fuzzy  Switched  Systems  Robust  Stability  仿真结果  充分条件  研究  定性条件  模糊切换  稳定性  行切  延迟  干扰  切换方法
文章编号:1003-6199(2007)03-0005-04
收稿时间:2007-05-28
修稿时间:2007年5月28日

Stabilization and Robust Stability of Switched Systems Under Fuzzy Switching Strategy
JING Li,GAO Li-qun,OU Xin-yuan.Stabilization and Robust Stability of Switched Systems Under Fuzzy Switching Strategy[J].Computing Technology and Automation,2007,26(3):5-8.
Authors:JING Li  GAO Li-qun  OU Xin-yuan
Affiliation:1. School of Mathematics and System Science, Shengang Normal University, Sheyang 110034,China; 2. School of Information Science and Engineering, Northeastern University, Shenyang 110004,China
Abstract:It was first pointed out that switching strategies of switched systems are usually exact. But practical systems may not be switched when exact conditions are satisfied because of distarbance and delay. This affects the stability of systems. So the paper proposed that switched systems should be switched under fuzzy switching strategy. Second, according to a sufficient condi- tion of stability of switched systems under fuzzy switching strategy, the stabilization and robust stability problem of switched systems were studied and sufficient conditions for them were proposed. Many simulations show that the presented method is simple and effective.
Keywords:switched linear systems  stabilization  robust stability  T-S fuzzy systems  membership function
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