Stability and Stabilization for Amplidyne Electrical Systems via a Novel Negative-Definiteness Lemma
针对时变延迟的放大电机电气系统，提出一种带两个独立调参参数的新方法，结合改进的Lyapunov-Krasovskii泛函和二次函数负定引理，推导出新的时滞相关稳定性与镇定判据，并通过数值仿真验证优势。
It is arduous to determine the stability for amplidyne electrical systems (AESs) with time-varying delay. In this article, a novel approach with two independent tuning parameters is established to obtain the stability conditions for AESs with time-varying delay. The new method could optimize negative determination conditions by tuning two tuning parameters without producing extra decision variables. Some existing lemmas commonly employed in the literature are contained in the proposed method as exceptional cases. Then, an improved Lyapunov–Krasovskii (L–K) functional is proposed in which more delay and state information are employed. Based on the novel quadratic function negative-definiteness method and the proposed L–K functional, new delay-dependent stability and stabilization criteria are achieved for AESs with time-varying delay. Finally, numerical examples and simulation results are conducted to show the advantages of the proposed approach.