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Dual Conditions for Local Transverse Feedback Linearization

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5 (1).pdf (276.32 KB)

Date

2019-01-21

Authors

D'Souza, Rollen S.
Nielsen, Christopher

Journal Title

Journal ISSN

Volume Title

Publisher

IEEE

Abstract

Given a control-affine system and a controlled invariant submanifold, the local transverse feedback linearization problem is to determine whether or not the system is locally feedback equivalent to a system whose dynamics transversal to the submanifold are linear and controllable. In this paper we present necessary and sufficient conditions for a single-input system to be locally transversally feedback linearizable to a given submanifold that dualize, in an algebraic sense, previously published conditions. These dual conditions are of interest in their own right and represent a first step towards a Gardner-Shadwick like algorithm for local transverse feedback linearization.

Description

D’Souza, R. S., & Nielsen, C. (2018). Dual Conditions for Local Transverse Feedback Linearization. 2018 IEEE Conference on Decision and Control (CDC), 2938–2943. https://doi.org/10.1109/CDC.2018.8619815

Keywords

Feedback linearization, Manifolds, Generators, Silicon, Conferences, Heuristic algorithms

LC Keywords

Citation

URI

https://doi.org/10.1109/CDC.2018.8619815
 http://hdl.handle.net/10012/17502

Collections

Waterloo Research
Electrical and Computer Engineering