Approximate Transverse Feedback Linearization Under Digital Control

non-linear control distillation column using approximate feedback linearization

On Local Transverse Feedback Linearization

Given a control-affine system and a controlled invariant submanifold, we present necessary and sufficient conditions for local feedback equivalence to a system whose dynamics transversal to the submanifold are linear and controllable. A key ingredient used in the analysis is the new notion of transverse controllability indices of a control system with respect to a set.

On Global Transverse Feedback Linearization

Necessary and sufficient conditions for global transverse feedback linearization are presented, together with easy-to-check sufficient conditions.

On Robust Approximate Feedback Linearization: A Nonlinear Control Approach

In this letter, we consider a problem of global stabilization of a class of approximately feedback linearized systems. We propose a new nonlinear control approach which includes a nonlinear controller and a Lyapunov-based design method. Our new nonlinear control approach broadens the class of systems under consideration over the existing results. key words: approximate feedback linearization, g...

Maneuver Regulation via Transverse Feedback Linearization: Theory and Examples

This paper presents a methodology to solve maneuver regulation problems which is based on transverse feedback linearization. Necessary and sufficient conditions for the linearization of dynamics transverse to an embedded submanifold of the state space are presented. Various examples illustrate the main features of this framework.