Performance and aliasing analysis of multi-rate digital controllers with interlacing
Performance and aliasing analysis of multi-rate digital controllers with interlacing
复制标题
具有隔行扫描功能的多速率数字控制器的性能和混叠分析
DOI：
10.23919/acc.2004.1384456
复制
发表时间：
2004
期刊：
影响因子：
--
通讯作者：
M. Tomizuka
中科院分区：
文献类型：
--
作者：
Shang;M. Tomizuka
本文研究的是隔行扫描的多速率数字控制。多速率控制器是通过以慢速率实现控制器的慢模式组件而由单个快速率控制器设计的。控制器的慢模式部分被进一步分解为几个元素以进行交错：即，不同的元素在不同的快速采样时刻被更新。隔行扫描多码率控制的目的是减少实时计算量。本文讨论了由于慢模式组件实现速度慢而引起的两个问题：性能下降和信号混叠。多速率控制系统是线性周期时变(LPTV)系统。采用提升方法，将多速率系统的频率响应用频域矩阵表示。该矩阵提供了量化多速率系统中的混叠和失真效应的信息。最后，作为隔行扫描多速率控制的一个例子，考虑了硬盘驱动器的磁道跟踪控制。重点研究了两种不同的多速率控制器结构：串联结构和并行结构。对串联和并联两种结构进行了性能和混叠分析。
This paper is concerned with multi-rate digital control with interlacing. The multi-rate controller is designed from a single fast-rate controller by implementing slow-mode components of the controller at a slow rate. The slow mode part of the controller is further decomposed to several elements to interlace: i.e., different elements are updated at different fast sampling time instances. The objective of multi-rate control with interlacing is to reduce the amount of real-time computation. This paper addresses two issues due to slow rate implementation of the slow-mode components: performance degradation and signal aliasing. The multi-rate control system is a linear periodically time-varying (LPTV) system. Using a lifting approach, the frequency response of the multi-rate system is represented by a frequency domain matrix. This matrix provides the information to quantify the aliasing and the distortion effect in the multi-rate system. Finally, as an example of multi-rate control with interlacing, track-following control for hard disk drive is considered. In particular, two different multi-rate controller structures are studied: series structure and parallel structure. Performance and aliasing analysis is presented for both the series and parallel structures.