2021/02/17 by Taylor Klotz, Taylor J. Klotz, Klotz, Taylor J. · 1 citation
Engineering · Mathematics · #Adaptive Control of Nonlinear Systems #Advanced Control Systems Optimization #Artificial intelligence #Cascade #Computer science #Connection (principal bundle) #Control (management) #Control engineering #Control theory (sociology) #Differential Geometry (math.DG) #Engineering #FOS: Mathematics #Feedback control #Feedback linearization #Geometry #Invariant (physics) #Linearization #Mathematics #Nonlinear system #Optimization and Control (math.OC) #Physics #Stability and Control of Uncertain Systems #math.DG #math.OC
paper · pdf · doi:10.48550/arxiv.2102.08521
published in arXiv (Cornell University) (Cornell University)
arxiv created 2021/02/17 · openalex publication_date 2021/02/17 · arxiv updated 2021/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this thesis, we provide new insights into the theory of cascade feedback linearization of control systems. In particular, we present a new explicit class of cascade feedback linearizable control systems, as well as a new obstruction to the existence of a cascade feedback linearization for a given invariant control system. These theorems are presented in Chapter 4, where truncated versions of operators from the calculus of variations are introduced and explored to prove these new results. This connection reveals new geometry behind cascade feedback linearization and establishes a foundation for future exciting work on the subject with important consequences for dynamic feedback linearization.