【摘要】 针对一类带有时变时滞的不确定模糊系统,研究了时滞相关鲁棒非脆弱H∞反馈控制问题.基于模糊李亚普诺夫-克拉索夫斯基泛函和并行分布补偿算法(PDC)设计了模糊控制器,并在推导过程中引入了自由权制矩阵,使得在控制器存在可加性摄动的情况下,其闭环系统鲁棒渐近稳定.利用线性矩阵不等式(LMI),导出了非脆弱鲁棒控制律的存在条件.仿真验证了结果的有效性.更多还原

【Abstract】 A delay-dependent robust H∞ non-fragile control was studied for a class of uncertain T-S fuzzy systems with time-varying delay.By introducing free-weighting matrices,a delay-dependent robust non-fragile controller was designed via a fuzzy Lyapunov-Krasovkii functional and the parallel distributed compensation(PDC)approach,such that the closed-loop systems was robust asymptotically stable in the presence of the additive controller gain perturbations.A sufficient condition for the existence of such robust non-fragile controller was derived via the linear matrix inequality(LMI).The simulation examples are given to show the effectiveness of the approach.更多还原