Squaring-Up Method In the Presence of Transmission Zeros

TL;DR

This paper introduces a method to square up MIMO systems with transmission zeros by transforming the problem into a state-feedback problem, extending existing methods to more complex systems.

Contribution

It develops a novel approach to handle transmission zeros in MIMO systems, integrating with existing squaring-up techniques.

Findings

Method successfully incorporates transmission zeros into squaring-up process

Transforms the problem into a state-feedback control problem

Applicable to generic MIMO systems with transmission zeros

Abstract

This paper presents a method to square up a generic MIMO system that already possesses transmission zeros. The proposed method is developed based on and therefore can be incorporated into the existing method that has been proven effective on a system without transmission zeros. It has been shown that for the generic system considering here, the squaring-up problem can be transformed into a state-feedback problem with uncontrollable modes.