中文摘要：

针对一类状态阵，控制输入阵及关联阵中存在数值界不确定性的关联大系统，研究其分散鲁棒H∞状态反馈和输出反馈控制器设计问题．基于有界实引理，推导出了其存在分散鲁棒H∞控制器的充分条件，即一组矩阵不等式有解．利用Schur补引理，通过固定不同变量，提出了一种构建分散控制器的同伦迭代线性矩阵不等式方法．所获得的控制器使闭环大系统鲁棒稳定，并且达到给定的H∞性能指标．最后用数值例子说明了所提的设计方法的有效性．

英文摘要：

For a class of large-scale interconnected systems with value-bounded uncertainties existing in the state, control input and interconnected matrices, the design of decentralized robust H-infinity state feedback and decentralized robust H-infinity output feedback controllers is investigated in this paper. Based on the bounded-real lemma, sufficient conditions for the existence of a decentralized robust H-infinity controller are obtained in terms of a set of matrix inequalities. According to Schur complement, a homotopy iterative linear matrix inequality method is then put forward to construct a decentralized robust H-infinity controller by fixing different variables. The controller obtained enables the closed-loop large-scale systems to be robustly stable and to achieve the given H-infinity performance. Finally, a numerical example is given which illustrates the effectiveness of the proposed method.