不确定时滞系统基于观测器的鲁棒控制器设计

The Design of Observer-based Robust Controllers for Uncertain Linear Systems with Time-delays

研究了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。通过构造增广系统 ,利用线性矩阵不等式方法 ,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 ,所给示例说明了本文方法的设计步骤和有效性。

The design of state observer and observer-based robust controllers for uncertain linear systems with time-varying delays is studied.In the light of the linear matrix inequality approach,a sufficient condition is given for the existence of the state observer and observer-based robust controllers for such uncertain systems.The design is based on the construction of an augmented systems.A numerical example is given to illustrate the design procedure and results of the proposed approach.