基于模糊Lyapunov-Krasovskii函数的模糊系统的鲁棒H_∞控制  

Robust H_∞ control of fuzzy system via fuzzy Lyapunov-krasovskii function

作　　者：张果[1] 李俊民[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》2009年第2期424-427,共4页Systems Engineering and Electronics

摘　　要：针对公共Lyapunov-krasovskii函数(LKF)方法判断离散时滞模糊系统鲁棒稳定性的保守性,构造了模糊LKF,并给出了系统鲁棒稳定的充分条件。应用并行分布补偿算法(PDC),设计了全局鲁棒稳定的模糊控制器。多个附加矩阵变量的引入,使控制器可以通过求解一系列线性矩阵不等式(LMI)获得。最后,通过一个仿真例子验证了方法的有效性。For the conservation of checking the robust stability of discrete T-S fuzzy system with the com- mon Lyapunov-krasovskii function,sufficient conditions for globally asymptotical stability of discrete T-S fuzzy system with delay are presented by using fuzzy LKF. State-feedback controller was designed by the method of parallel distributed compensation （PDC）. The controller design involves solving a set of linear matrix inequali- ties（LMIs） with multiply additional matrix variables. At last, a simulation example shows that the approach is effective.

关 键 词：离散时滞T-S模糊系统 模糊Lyapunov—krasovskii函数 鲁棒控制 线性矩阵不等式 

分 类 号：O1[理学—数学]