A mixed-method for the order abatement of large-scale linear dynamic systems (LSLDSs) into desired low order systems is proposed. The denominator of the abated system (AS) is obtained by the renovated pole clustering technique, while the numerator is obtained by Cauer second form technique. The AS is stable if the original system (OS) is stable and retains all the essential time and frequency response specifications of the OS. The proposed mixed method is an improved version of the modified pole clustering technique. As we know, the magnitude of the pole cluster center plays an important role in the clustering technique for the abatement of LSLDS. Less magnitude of pole cluster center, better approximations matching of AS with the OS has occurred. The magnitude of dominated pole cluster centers obtained by the modified pole clustering technique or other pole clustering techniques is large compared to the proposed technique. Hence the proposed technique provides better approximations matching between OS and AS during the transient period compared to other clustering techniques, which supports the replacement of OS with better AS. The efficacy of the proposed technique is verified by taking three numerical examples and compared with other recent and famous techniques available in the literature.

提出了一种用于将大型线性动态系统（LSLDS）降阶为所需低阶系统的混合方法。消减系统的分母通过改良的极点聚类技术获得，而分子通过Cauer第二形式技术获得。如果原始系统（OS）稳定并且保留了OS的所有基本时间和频率响应规格，则AS会保持稳定。所提出的混合方法是改进的极点聚类技术的改进版本。众所周知，极簇中心的大小在减少LSLDS的簇技术中起着重要作用。极簇中心的大小较小，AS与OS的近似匹配更好。通过改进的极点聚类技术或其他极点聚类技术获得的支配极点簇中心的大小与所提出的技术相比较大。因此，与其他聚类技术相比，所提出的技术在瞬态期间在OS和AS之间提供了更好的近似匹配，这支持用更好的AS替换OS。通过三个数值示例验证了所提出技术的有效性，并与文献中提供的其他最新和著名技术进行了比较。