A Finite Test for the Linearizability of Two-Input Systems by a Two-Dimensional Endogenous Dynamic Feedback

TL;DR

This paper introduces an algorithmic test to determine if a two-input system can be linearized using a two-dimensional endogenous dynamic feedback, and also provides a method to derive flat outputs for such systems.

Contribution

It presents a novel algorithmic approach for testing linearizability and systematically deriving flat outputs for two-input systems with low-dimensional endogenous dynamic feedback.

Findings

Effective test for linearizability of two-input systems

Systematic procedure for deriving flat outputs

Applicable to systems with at most two-dimensional feedback

Abstract

We propose an algorithmic test to check whether a two-input system is linearizable by an endogenous dynamic feedback with a dimension of at most two. This test furthermore provides a procedure for systematically deriving flat outputs for this class of systems.