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Local transverse feedback linearization for nested sets

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Date

2016-02-11

Authors

Doosthoseini, Alireza
Nielsen, Christopher

Journal Title

Journal ISSN

Volume Title

Publisher

IEEE

Abstract

We study a local feedback equivalence problem for a nonlinear control-affine system with two nested, controlled invariant, embedded submanifolds in its state space. The main result of this paper gives necessary and sufficient conditions for (i) the dynamics of the system transversal to the larger submanifold to be linear and controllable and (ii) the system dynamics, restricted to the larger submanifold, and transversal to the smaller submanifold to also be linear and controllable.

Description

Doosthoseini, A., & Nielsen, C. (2015). Local transverse feedback linearization for nested sets. 2015 54th IEEE Conference on Decision and Control (CDC), 7783–7788. https://doi.org/10.1109/CDC.2015.7403450

Keywords

Control design, Aerospace electronics, Nonlinear dynamical systems, Manifolds, Silicon, Orbits

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Citation

URI

https://doi.org/10.1109/CDC.2015.7403450
 http://hdl.handle.net/10012/17494

Collections

Waterloo Research
Electrical and Computer Engineering