关键词: 不确定时变时滞系统, 非脆弱, 鲁棒H&infin, 控制, 积分不等式, 线性矩阵不等式

Abstract: For uncertain time-varying linear delay systems with interval which is known and the lower limit is not zero, the problem of non-fragile robust [H∞] controller design is studied, based on Lyapunov stability theory and linear matrix inequality. By constructing an appropriate type of Lyapunov-Krasovskii function, combining with a new method of integral inequality, to get the time delay system is asymptotically stable and satisfy the [H∞] performance index of delay-dependent sufficient conditions. Then a class of non-fragile robust [H∞] state feedback controller of low conservative controllers based on an Improved Cone Complementary Linearization（ICCL） algorithm can be designed. A numerical example is given to illustrate the effectiveness of the design approach.

Key words: uncertain time-varying delay systems, non-fragile, robust [H∞] control, integral inequality, linear matrix inequalities