经由控制器切换下的不确定时滞系统的鲁棒控制

Robust Control for Uncertain Time-Delay Systems via Controller Switching

研究了一类基于控制器切换下的不确定系统的鲁棒镇定问题.假设系统存在有限个备选的静态状态反馈控制器,在每个备选的控制器均不能镇定系统的情况下,针对状态矩阵、控制输入矩阵及状态时滞部分同时带有参数不确定性的系统,利用凸组合条件设计出相应的切换策略,经由控制器切换得到了不确定系统镇定的一个充分条件,并且此条件可转化为求解线性矩阵不等式(LMI)问题.最后仿真结果表明所设计切换策略的正确有效性.

In this paper, the problem of robust stabilization for a class of uncertain systems via controllers switching is studied. Supposed that there exist finite candidate static state feedback controllers, the systems can＇ t be stabilized by using a single candidate controller. The parameter uncertainties are time-varying and unknown but are norm-bounded. Based on the condition of convex combination, a switching law is designed. A sufficient condition of robust stabilization for uncertain linear systems via controllers switching is obtained, The condition is converted into LMI （linear matrix inequality） problem. The simulation results show the validity of the switching law.