根据奇摄动网络丢包的特点,在执行器发生故障的情况下,将奇摄动网络化系统转换为奇摄动不确定切换系统.利用矩阵不等式技巧,巧妙地克服了由于小参数引起边界层动态行为对奇摄动不确定切换系统所带来的困难.同时研究该奇摄动切换系统在一定数据包丢失率影响下的反馈控制,并给出了控制器的设计方法和系统镇定的充分条件.最后,通过数值仿真例子验证了本方法的有效性.
Considering the networked packet dropout of a singularly perturbed system under actuator failure, the original system was transformed to a singularly perturbed uncertain switched system. Then, the difficulty arising in the boundary dynamic behavior caused by a small parameter was overcome by using the matrix inequality technique. Meanwhile, the feedback stabilization of the singularly perturbed uncertain switched system was studied under some certain data dropout rate. Further, the design method of a controller and the sufficient condition of stabilization of the system were presented. Finally, a numerical example was given to illustrate the effectiveness of the proposed method.