多输入多输出线性系统的时滞界问题

Delay margin of linear multi-input multi-output system

针对多输入多输出线性系统,已有的工作仅考虑单个不稳定极点的时滞界问题。针对两个不稳定极点的情形,给出时滞界的一些上界。通过设计适当的双线性变换,利用频域方法分别对系统含有两个不稳定实极点和一对共轭虚极点的两种情况,得到了系统时滞界的估计结果。所得结果将一些已知结果作为特例,还涵盖了更广泛的范围。算例结果验证了该方法的有效性。

Previous research works of linear multi-input and multi-output system were based on one unstable pole. We study the system with two unstable poles and give some upper bounds of the delay margin. By constructing some suitable bilinear transforms and using the frequency domain method,we obtain some estimations of the delay margin of systems for the two cases with two unstable real poles and a pair of unstable conjugate complex poles. Our results are of considerable generality,including the known results as particular cases. The results of calculated example showthe effectiveness of the proposed method.