线性多时滞系统输出反馈镇定新判据

Output feedback stabilization criterion for linear systems with multiple delays

针对线性多时滞系统,利用频域法研究了线性多时滞系统基于观测器的输出反馈镇定控制问题。通过利用频域技术和谱半径及模矩相关理论,在要求无时滞的系统矩阵项A为Hurwitz矩阵的条件下,利用构造的状态观测器进行输出反馈控制,建立了系统鲁棒镇定的新判定,并通过示例说明了该结果的有效性。

Via frequency domain methods,the problem of stabilization by output feedback based on observer for linear system with multiple delays was discussed. By means of frequency domain techniques and the associated theory of spectral radius and modulus matrix, an criterion of the robust stablization is presented for observer based output feedback system,under the condition that the system matrix A without delay is Hurwitz one. In the end, an example is used to illustrate the effectiveness of the proposed criterion.