基于观测器的不确定时滞系统的鲁棒控制

研究不确定线性时滞系统的状态观测器和基于观测器的鲁棒控制器设计问题，其中不确定性是时变的、不要求满足匹配条件。通过构造增广系统，利用Ｌｙａｐｕｎｏｖ稳定性理论，获得了该不确定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。所得结论推广并改进了已知的一些结果，并通过实例说明了其有效性。

Observer-based Robust Control for Uncertain Linear Systems with Time-delay

In this paper, the design of state observer and observer-based robust controllers for uncertain linear systems with time-delay was studied, where the uncertainty is time-varying, and does not statisfy matching conditions. In the light of Lyapunov stability theory, a sufficent condition for the existence of the state observer and observer-based robust controllers for such uncertain systems is obtained, and the corresponding state observer and observer-based robust controllers by constructing an augmented system are given. The conclusions extend and improve some results in the literature. A numerical example is also included to illustrate the obtained results.