论文标题
SISO时间延迟系统的范围内/外部分解和最佳H-侵蚀控制器的FIR结构
Coprime Inner/Outer Factorization of SISO Time-Delay Systems and FIR Structure of Their Optimal H-Infinity Controllers
论文作者
论文摘要
Foias等人的方法。 （1996年）是为一般无限尺寸系统设计H-赋值控制器的发达方法之一。如果植物接受特殊的副本内部/外部分解，则该方法适用。我们给出了最大的单输入单输出（SISO）时间延迟系统，可以将这种分解为可能并分解可允许的植物。基于此分解，我们计算最佳的H-触发性能，并消除最佳H-核控制器中不稳定的极点零取消。我们通过表明该结构不仅适用于输入/输出（I/O）延迟的植物，而且对于一般的SISO Time-time-play植物，我们将这种结构不仅显示出最佳H-含量控制器的有限脉冲响应（FIR）结构的结果。
The approach in Foias et al. (1996) is one of the well-developed methods to design H-infinity controllers for general infinite dimensional systems. This approach is applicable if the plant admits a special coprime inner/outer factorization. We give the largest class of single-input-single-output (SISO) time delay systems for which this factorization is possible and factorize the admissible plants. Based on this factorization, we compute the optimal H-infinity performance and eliminate unstable pole-zero cancellations in the optimal H-infinity controller. We extend the results on the finite impulse response (FIR) structure of optimal H-infinity controllers by showing that this structure appears not only for plants with input/output (I/O) delays, but also for general SISO time-delay plants.
