Feedback linearization and driftless systems

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1994 English Publisher:Springer Science and Business Media LLCJournal:Mathematics of Control, Signals, and Systems, volume 7, pages 235-254 (issn: 0932-4194, eissn: 1435-568X,

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Authors: Philippe Martin 0001; Pierre Rouchon;

doi: 10.1007/bf01212271

Feedback linearization and driftless systems

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Abstract

The authors introduce the definition of an immersion of a (smooth) control system into another, a purely differential-geometric notion in the field of Pfaffian systems. Then they prove that a system is feedback linearizable if and only if it is immersed in a controllable linear system (in fact, a more general proposition is established). The case of driftless systems is studied using the previous results.

Related Organizations

Mines ParisTech
France
Centre Automatique et Systèmes
France

Keywords

immersion, Differential forms in global analysis, feedback linearizable, Pfaffian systems, differential-geometric, Feedback control, Differential-geometric methods in systems theory, Linearizations

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