研究了一类带有时变时滞的不确定模糊系统时滞相关鲁棒H∞控制问题。基于模糊Lyapunov-Krasovskii泛函(LKF),引入多个模糊时滞自由权值矩阵,提出并证明了闭环系统新的时滞相关鲁棒H∞渐近稳定的充分条件。根据并行分布补偿算法(PDC)设计了反馈控制器,控制器可由线性矩阵不等式(LMI)求解得到。数例仿真验证了所提方法的有效性。
A delay-dependent robust H∞ control problem for a class of uncertain T-S fuzzy systems with delay is presented. Based on a fuzzy Lyapunov-Krasovskii functional (LKF) and fuzzy free-weighting matrices with time-delay, a new delay-dependent robust stability criterion is proposed and proved for the close-loop fuzzy system. The feedback controller design involves solving a set of linear matrix inequalities (LMIs) via parallel distributed compensation (PDC) approach. Finally, simulation results are presented to show the effectiveness of the approach.