研究了不确定离散T—S模糊时滞系统的稳定性分析与H∞控制问题.通过构造适当的Lyapunov泛函,给出了系统的时滞相关稳定新判据.进而利用线性矩阵不等式方法,研究了H∞模糊状态反馈控制器存在的充分条件,并提出控制器优化设计的迭代算法.
Problems of stability and H∞ control for discrete-time T-S fuzzy systems with state delay and uncertainties axe discussed. A new delay-dependent stability criterion is first proposed by defining an appropriate Lyapunov function. Then, the sufficient conditions for the existence of H∞ fuzzy state-feedback controller is investigated in terms of linear matrix inequality(LMI). Finally, an iterative algorithm is provided for the optimal design of the H∞ controller.