Open loop control of higher order systems

Paul A. Fuhrmann; Uwe Helmke

doi:10.1007/978-3-319-21003-2_1

Open loop control of higher order systems

Paul A. Fuhrmann, Uwe Helmke

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we solve the problem of computing open loop controls that steer a higher order system from the equilibrium to a prescribed state, or partial state. Using unimodular embeddings of coprime polynomial factorizations, we derive an explicit formula for the inverse of the reachability map. Proceeding along the same lines we outline the connection to flat outputs and develop an independent approach for open loop control.

Original language	English
Journal	Lecture Notes in Control and Information Sciences
Volume	462
DOIs	https://doi.org/10.1007/978-3-319-21003-2_1
State	Published - 1 Jan 2015

ASJC Scopus subject areas

Library and Information Sciences

Access to Document

10.1007/978-3-319-21003-2_1

Cite this

@article{e33f708b54874f71979aaff005371b29,

title = "Open loop control of higher order systems",

abstract = "In this paper we solve the problem of computing open loop controls that steer a higher order system from the equilibrium to a prescribed state, or partial state. Using unimodular embeddings of coprime polynomial factorizations, we derive an explicit formula for the inverse of the reachability map. Proceeding along the same lines we outline the connection to flat outputs and develop an independent approach for open loop control.",

author = "Fuhrmann, {Paul A.} and Uwe Helmke",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2015.",

year = "2015",

month = jan,

day = "1",

doi = "10.1007/978-3-319-21003-2_1",

language = "English",

volume = "462",

journal = "Lecture Notes in Control and Information Sciences",

issn = "0170-8643",

publisher = "Springer Verlag",

}

TY - JOUR

T1 - Open loop control of higher order systems

AU - Fuhrmann, Paul A.

AU - Helmke, Uwe

PY - 2015/1/1

Y1 - 2015/1/1

N2 - In this paper we solve the problem of computing open loop controls that steer a higher order system from the equilibrium to a prescribed state, or partial state. Using unimodular embeddings of coprime polynomial factorizations, we derive an explicit formula for the inverse of the reachability map. Proceeding along the same lines we outline the connection to flat outputs and develop an independent approach for open loop control.

AB - In this paper we solve the problem of computing open loop controls that steer a higher order system from the equilibrium to a prescribed state, or partial state. Using unimodular embeddings of coprime polynomial factorizations, we derive an explicit formula for the inverse of the reachability map. Proceeding along the same lines we outline the connection to flat outputs and develop an independent approach for open loop control.

UR - http://www.scopus.com/inward/record.url?scp=84937011063&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-21003-2_1

DO - 10.1007/978-3-319-21003-2_1

M3 - Article

AN - SCOPUS:84937011063

SN - 0170-8643

VL - 462

JO - Lecture Notes in Control and Information Sciences

JF - Lecture Notes in Control and Information Sciences

ER -

Open loop control of higher order systems

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this