离散T-S模糊广义系统的H∞控制  

H-infinity control for discrete T-S fuzzy descriptor systems

作　　者：袁宇浩[1] 张庆灵[1] 陈兵[2] 

机构地区：[1]东北大学系统科学研究所,辽宁沈阳110004 [2]青岛大学复杂性科学研究所,山东青岛266071

出　　处：《控制理论与应用》2009年第3期332-336,共5页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60574011);辽宁省普通高校学科带头人基金资助项目(124210).

摘　　要：研究了离散T-S模糊广义系统的H_∞控制问题.首先引入辅助矩阵变量得到新的容许性条件,解决了由于矩阵P的不定性,无法运用Schur补引理处理非线性Lyapunov不等式的问题,进而得到严格不等式表示的H_∞控制条件.基于模糊Lyapunov函数方法,分别研究了状态反馈控制器、静态输出反馈控制器、动态输出反馈控制器的构造方法.所得结论可推广到系统具有范数有界不确定性的情况.最后通过算例验证方法的有效性.The H-infinity control problem of discrete T-S fuzzy descriptor systems is investigated. Auxiliary matrix variables are introduced for obtaining new admissible conditions to deal with the indefiniteness of matrix P, which causes the Schur-complement being unable to be applied to solve the nonlinear Lyapunov inequality. Then, the H-infinity control conditions in terms of strict inequalities are obtained. Subsequently, based on the fuzzy Lyapunov function, the design method of state-feedback controller, static output-feedback controller and dynamic output-feedback controller are studied. The obtained results can be applied to systems with norm-bounded uncertainties. Finally, numerical example shows the effectiveness of the proposed method.

关 键 词：离散T-S模糊广义系统 H_∞控制 模糊LYAPUNOV函数 严格线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]