状态时滞时变不确定系统的鲁棒H∞ 输出反馈控制器设计

Robust H Output Feedbace Controller Design for Linear Time-Varying Uncertain Systems with Delayed State

中文关键词  鲁棒H∞控制  时滞  不确定性  输出反馈

英文关键词  obust H control  time-delay  uncertainty  output feedback

中文摘要

      主要研究了存在状态滞后的线性时变不确定时滞系统的鲁棒H 控制分析和综合问题。给出了对所有容许不确定性，被控对象可二次镇定和满足从干扰输入到控制输出的H 范数界约束的动态输出反馈鲁棒H∞控制分析结果。将不确定时滞系统的鲁棒H 输出反馈控制器设计问题等价为两个线性时不变系统的状态反馈标准H∞ 控制问题，并由此得到反馈阵和观测阵，最终得到鲁棒H∞控制器综合设计方法。

英文摘要

      This paper focuses on analysis and synthesis of robust H control for linear time-varying uncertain dynamic systems with delayed state. A dynamic output feedback controller is presented to quadratically stabilize the plant and reduce the effect of the disturbance input on the controlled output to a prescribed level for all admissible uncertainties. Two equivalent linear time-invariant structural descriptions for the time-varying uncertain systems with delayed state are obtained to get the controller gain matrix and the observer gain matrix.