非线性扰动的关联时滞大系统分散鲁棒H_∞控制

Decentralized robust H_∞ control of large-scale interconnected time-delay systems with non-linear perturbations

采用状态反馈方法,着重讨论一类具有非线性扰动的关联时滞大系统的分散稳定化设计。利用H∞理论方法和实对称矩阵性质,导出了具有非线性扰动和关联时滞的大系统可分散状态反馈镇定的充分条件。借助于LMI方法,获得了具有较小增益的状态反馈控制率。结论推广了现有文献的研究结果。数值实例说明了方法的有效性。

Based on the state feedback method, a decentralized stabilization design for a class of large-scale interconnected time delay systems with non-linear perturbations is discussed. By using H∞. theory and the property of real symmetric matrixes, the sufficient condition for the decentralized state feedback stabilization of large-scale interconnected time delay systems with non-linear perturbations is deduced. The state feedback control low with small gain is obtained by means of LMI. The result obtained extends the results obtained in previous literature. A numerical example is given to illustrate the validity of the proposed method.