Transverse Feedback Linearization with Partial Information for Single-Input Systems

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Date

2014-09-25

Authors

Nielsen, Christopher

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SIAM

Abstract

This paper is motivated by the problem of asymptotically stabilizing invariant sets in the state space of control systems by means of output feedback. The sets considered are smooth embedded in submanifolds and the class of system is nonlinear, finite-dimensional, autonomous, deterministic, single-input and control-affine. Given an invariant set and a control system with fixed output, necessary and sufficient conditions are presented for feedback equivalence to a normal form that facilities the design of output feedback controllers that stabilize the set using existing design techniques.

Description

“First Published in SIAM Journal on Control and Optimization in 2014, published by the Society for Industrial and Applied Mathematics (SIAM)” and the copyright notice as stated in the article itself (e.g., “Copyright © by SIAM. Unauthorized reproduction of this article is prohibited.”')

Keywords

transverse feedback linearization, feedback equivalence, output feedback, set stabilization, robust path following

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