Abstract: Delay-dependent decentralized robust H∞ controller for a class of interconnected large-scale systems was researched. The time-delays were assumed as time-varying. First, the decentralized state feedback H∞controllers were designed. A method called Integral Inequality Method (IIM) was introduced. Combining the Lyapunov-Krasovskii functional approach, the integral inequality of matrices and the modified Cone Complementary Linearization (CCL) algorithm, the delay-dependent sufficient conditions for the existence of robust decentralized H∞ control were presented in terms of nonlinear matrix inequalities and linear matrix inequalities. Second, the results were extended to the case of decentralized output feedback. At last, the numerical simulation shows the validity of the main results.

摘要： 研究了一类关联时滞系统的分散鲁棒H∞控制问题，其中时滞是时变的。首先，设计了分散状态反馈H∞控制器，引入一种积分不等式方法，结合Lyapunov-Krasovskii泛函方法、积分矩阵不等式技巧和锥补法(CCL)导出了此类系统的关联时滞分散H∞控制的非线性矩阵不等式（NMI）和线性矩阵不等式（LMI）充分条件。接着，将结果扩展到分散输出反馈中。最后，数值例子说明了方法的有效性。

关键词: 关联时滞, 状态反馈, 输出反馈, 锥补法, 线性矩阵不等式, delay-dependent, state feedback, output feedback, Cone Complementarity Linearization (CCL) algorithm, Linear Matrix Inequality (LMI)