Abstract: Robust control problems of MIMO linear systems with both plant and controller subject to additive norm-bounded perturbations are studied, and LMI-based controller design method is given. The relation between the conditions of robust analysis and robust synthesis is also given. In addition, robust performance problem is considered again, a better sufficient condition is presented.

Key words: LMI, Norm-bounded, Robust performance

摘要： 研究了多输入多输出线性时不变系统中控制器与对象同时以加性未建模动态模式摄动的鲁棒控制问题，给出了基于线性矩阵不等式的控制器设计方法，而且把类似的方法用于传统的鲁棒性能问题得出了更好的充分条件。

关键词: 线性矩阵不等式, 范数有界摄动, 鲁棒品质