On Absolute Equivalence and Linearization I
Jeanne Clelland, Yuhao Hu
TL;DR
This paper investigates the absolute equivalence of Pfaffian systems with a degree 1 independence condition, providing structural insights especially for corank 3 systems, and applies these findings to control system linearization.
Contribution
It introduces new structural results on Pfaffian systems and applies them to dynamic feedback linearization of control systems with two inputs.
Findings
Structural results for Pfaffian systems of corank 3
Conditions for absolute equivalence in these systems
Application to control system linearization
Abstract
In this paper, we study the absolute equivalence between Pfaffian systems with a degree 1 independence condition and obtain structural results, particularly for systems of corank 3. We apply these results to understanding dynamic feedback linearization of control systems with 2 inputs.
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Taxonomy
TopicsStability and Control of Uncertain Systems · Adaptive Control of Nonlinear Systems · Control and Dynamics of Mobile Robots