Necessary and Sufficient Conditions for the Linearizability of Two-Input Systems by a Two-Dimensional Endogenous Dynamic Feedback

TL;DR

This paper establishes clear and verifiable conditions under which two-input systems can be transformed into linear systems using a two-dimensional endogenous dynamic feedback, simplifying control design.

Contribution

It provides the first set of necessary and sufficient conditions for linearizability of two-input systems via low-dimensional endogenous dynamic feedback.

Findings

Conditions are easily verifiable.

Applicable to a broad class of two-input systems.

Facilitates control design through linearization.

Abstract

We propose easily verifiable necessary and sufficient conditions for the linearizability of two-input systems by an endogenous dynamic feedback with a dimension of at most two.