不确定滞后型Lur’e控制系统的鲁棒绝对稳定性LMI方法

Robust Absolute Stability of Uncertain Time-Delay Control Systems-LMI Approach

应用Lyapunov泛函方法 ,讨论了具有结构参数扰动和范数扰动界的不确定滞后型Lur’e直接控制系统和间接控制系统的鲁棒绝对稳定性 .给出了系统绝对鲁棒稳定性的充分条件 ,这些条件以线性矩阵不等式 (LMI)的形式给出 ,可以很方便地运用Matlab工具箱求解 .文末给出数值算例 .

By using Lyapunov functional method,the robust absolute stability of uncertain time-delay Lur'e direct control systems and indirect control systems with structured parameter perturbations and norm bound parameter perturbations is considered.Sufficient conditions of the robust absolute stability of the systems are given in terms of linear matrix inequalities(LMI),which can be solved easily by using Matlab Toolbox.Finally,numerical examples are given to illustrate the results presented in this paper.