基于观测器的多状态时滞系统的鲁棒镇定

Robust Stabilization for Observer-based Time-delay System with Multi-state Uncertainty

研究了具有多状态不确定时滞系统的基于观测器的鲁棒镇定问题 ,通过构造增广矩阵 ,利用线性矩阵不等式 (LMI)方法 ,获得了该系统存在状态观测器和基于观测器的鲁棒控制器的充分条件 ,同时给出了相应的状态观测器和基于观测器的鲁棒控制器 .最后 。

The problem of robust stabilization for observer-base d time-delay system with multi-state uncertainty is studied. In the light of the linear matrix inequality (LMI) approach, a sufficient condition is given for th e existence of the state observer and observer-based robust controllers for suc h uncertain systems. We obtain the state observer and observer-based robust con trollers by construction an augmented systems. Finally, numerical examples are g iven to illustrate the results presented in this paper.