不确定时滞电力系统鲁棒稳定性分析

基于Lyapunov-Krasovskii泛函方法讨论含有不确定性时滞环节的电力系统鲁棒稳定性问题。通过构造合适的Lyapunov-Krasovskii泛函,并应用自由矩阵积分不等式方法处理泛函导数中的积分项,建立了不确定时滞系统的鲁棒稳定判据。将数值实例的仿真结果与其它文献的结果进行对比,进一步验证了所用方法的有效性与优越性。

Robust Stability Analysis of the Uncertain Time-Delay Power System

Based on Lyapunov-Krasovskii functional approach, an analysis has been made of the robust stability of the power system with uncertain time-delay. By constructing an appropriate Lyapunov-Krasovskii functional and adopting the approach of free matrix integral inequality to deal with the integral terms yielded in functional derivatives, a new robust stability criterion has thus been established for uncertain time-delay systems. A comparison between the simulation results of numerical examples and those of other recorded statistics verify the effectiveness and advantages of the proposed method.