模糊广义系统的稳定性分析  

Stability analysis for fuzzy descriptor systems

作　　者：时晓岩[1] 高志伟[1] 

机构地区：[1]天津大学电气工程与自动化学院,天津300072

出　　处：《系统工程与电子技术》2005年第6期1087-1089,共3页Systems Engineering and Electronics

摘　　要：研究了模糊广义系统的二次稳定性问题,给出了使系统二次稳定的公共矩阵X存在的必要条件。在此基础上,通过线性矩阵不等式技术,得出了求解公共矩阵X的方法,与以往的结果相比,减少了求解过程的计算量。并给出了状态反馈控制器的设计以及相应的必要条件和求解方法。最后,通过数值例子验证了结论的正确性。The quadratic stability of fuzzy descriptor system is investigated. The necessary condition is presented for the existence of a common matrix X ensuring the stability. With the LMIs (linear matrix inequalities) technique, a method of solving the inequalities is deduced. Out result reduce computation obviously compared with the previous one. Then a feedback controller design approach and the corresponding necessary condition are given. Finally, a numerical example is given.

关 键 词：模糊广义系统 二次稳定 李雅普诺夫稳定性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]