非线性广义时变时滞系统鲁棒模糊控制

摘要

针对一类参数不确定模糊广义时变时滞系统,研究该系统的鲁棒稳定性控制问题.选取特殊的Lyapunov函数,给出了该系统稳定的充分条件,采用线性矩阵不等式技术,将时变时滞系统稳定性条件转化为求解一组线性矩阵不等式问题,并设计出状态反馈控制器,仿真结果说明该方法的可行性.%The problem of nonlinear time-delay and time varying is discussed and focus on system robust stability. Sufficient conditions to guarantee the robust stability for such fuzzy system is used by special Lyapunov function. By using matrix measures of system matrices,a state feedback controller that stabilize the considered uncertain time delay and time varying system is obtained. A simple example illustrates the results.