Publication

Feedback Linearizability and Flatness in Restricted Control Systems

Philippe Müllhaupt
2011
Conference Papers

Abstract

The loss of feedback linearizability of control systems is studied when restricted to a submanifold of the state-space. The slow approximation of singularly perturbed systems also falls into this category. We show that even if the static-feedback linearizability is lost, the flatness property of the system may be conserved. The comparison between a flexibly linked pendulum and a rigidly linked one, both equipped with two controls and evolving in the plane, illustrates the theoretical results.

Official source

https://infoscience.epfl.ch/entities/publication/7e04457b-2d0d-4cf0-bfe4-51ce9bf31cb3

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Philippe Müllhaupt
2011
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/7e04457b-2d0d-4cf0-bfe4-51ce9bf31cb3

About this result

Related concepts (32)

Industrial control system

An industrial control system (ICS) is an electronic control system and associated instrumentation used for industrial process control. Control systems can range in size from a few modular panel-mounted controllers to large interconnected and interactive distributed control systems (DCSs) with many thousands of field connections. Control systems receive data from remote sensors measuring process variables (PVs), compare the collected data with desired setpoints (SPs), and derive command functions that are used to control a process through the final control elements (FCEs), such as control valves.

Category (mathematics)

In mathematics, a category (sometimes called an abstract category to distinguish it from a ) is a collection of "objects" that are linked by "arrows". A category has two basic properties: the ability to compose the arrows associatively and the existence of an identity arrow for each object. A simple example is the , whose objects are sets and whose arrows are functions. is a branch of mathematics that seeks to generalize all of mathematics in terms of categories, independent of what their objects and arrows represent.

Flat module

In algebra, flat modules include free modules, projective modules, and, over a principal ideal domain, torsion free modules. Formally, a module M over a ring R is flat if taking the tensor product over R with M preserves exact sequences. A module is faithfully flat if taking the tensor product with a sequence produces an exact sequence if and only if the original sequence is exact. Flatness was introduced by in his paper Géometrie Algébrique et Géométrie Analytique.

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Feedback Linearizability and Flatness in Restricted Control Systems

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