混合时变时滞多机系统气门开度的模糊H_∞控制器设计

Fuzzy H_∞ Controllers Design Approach for Steam Valve Opening of Multi-machine Power Systems with Mixed Time-Varying Delays

研究了带有混合时变时滞的多机电力系统的气门开度模糊H_∞控制器设计问题,混合时变时滞包括区间时滞、中立型时滞和分布时滞,通过建立模糊模型并设计系统的模糊控制器,基于线性矩阵不等式(LMIs)给出了系统满足H_∞性能指标的稳定性条件.同时,将结论推广到时滞的不同情况,包括带有快时变分布时滞(即分布时滞的导数大于1)的H_∞稳定条件,所得结果减少了保守性.最后,针对三机无穷大母线的气门开度控制系统建立模糊H_∞控制器,验证了所提出方法的有效性.

The fuzzy H∞ controller design problem was studied for steam valve opening of multi- machine power systems which consisting of turbo-generators with mixed time-varying delays. The mixed time-varying delays include the interval retarded-type discrete delay, the neutral-type discrete delay and the time-varying distributed delays. Fuzzy models were established, and the controllers of the systems were designed. Linear matrix inequalities （LMIs）-based H. stability conditions were derived. Moreover, the results were expanded to different conditions of timedelay, including H~ stability condition with the fast time-varying distributed delays （i. e. the derivatives of distributed delay is larger than 1 ）. Therefore, the obtained results are new and less conservative. Finally, simulation results for the steam value opening of three-machine infinite bus systems were provided to verify the effectiveness of the proposed results.