Interlacing in Controllers Implementation: Frequency Analysis

TL;DR

This paper explores interlacing techniques for implementing LTI controllers, analyzing structures to save computation in resource-constrained environments and introducing new procedures for pole-related block extraction.

Contribution

It introduces novel interlacing implementation methods and pole extraction procedures, enhancing efficiency in control system frequency analysis.

Findings

Significant computational savings demonstrated.

Effective pole block extraction procedures developed.

Improved frequency response analysis for interlaced controllers.

Abstract

The main goal of this contribution is to explain how to use interlacing techniques for LTI controllers implementation and analyze different struc- tures in this environment. These considerations lead to an important com- putation saving in constrained resource environments. It has been also intro- duced new procedures for obtaining the blocks related to different real and complex controllers poles. The resultant time-varying system is modeled using proper discrete lifting techniques and a new and efficient dual-rate fre- quency response computation allows to determine the characteristics of the control loop with interlaced controller. Examples illustrate the theoretical proposals.