基于模糊Lyapunov-Krasovskii函数的模糊系统的鲁棒H∞控制

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.

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

For the conservation of checking the robust stability of discrete T-S fuzzy system with the common 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 inequalities(LMIs) with multiply additional matrix variables.At last,a simulation example shows that the approach is effective.