On the realizability of dynamic precompensators in linear multivariable systems

Eduardo Castaneda, Javier Ruiz-Leon

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

The problem of static state feedback realization of dynamic full column rank precompensators on a controllable linear multivariable system in a structural framework is considered in this paper. Necessary and sufficient conditions for the existence of a nonregular static state feedback that realize the compensator are stated in terms of the zero-pole structure of the compensator, and the modes and the row image of the controllability matrix of the compensated system. Based on these conditions a formula is presented to find the state feedback matrices realizing a given full column rank compensator. We also show that the corresponding state feedback is unique if and only if the closed loop system is controllable.

Original languageEnglish
Title of host publication2012 World Automation Congress, WAC 2012
StatePublished - 14 Dec 2012
Externally publishedYes
Event2012 World Automation Congress, WAC 2012 - Puerto Vallarta, Mexico
Duration: 24 Jun 201228 Jun 2012

Publication series

NameWorld Automation Congress Proceedings
ISSN (Print)2154-4824
ISSN (Electronic)2154-4832

Conference

Conference2012 World Automation Congress, WAC 2012
CountryMexico
CityPuerto Vallarta
Period24/06/1228/06/12

Fingerprint

Multivariable systems
State feedback
Controllability
Closed loop systems
Poles

Keywords

  • Linear multivariable systems
  • Realizability of precompensators
  • State feedback

Cite this

Castaneda, E., & Ruiz-Leon, J. (2012). On the realizability of dynamic precompensators in linear multivariable systems. In 2012 World Automation Congress, WAC 2012 [6320939] (World Automation Congress Proceedings).
Castaneda, Eduardo ; Ruiz-Leon, Javier. / On the realizability of dynamic precompensators in linear multivariable systems. 2012 World Automation Congress, WAC 2012. 2012. (World Automation Congress Proceedings).
@inproceedings{5d3156d2c8eb4b7c9b397266cb7424f6,
title = "On the realizability of dynamic precompensators in linear multivariable systems",
abstract = "The problem of static state feedback realization of dynamic full column rank precompensators on a controllable linear multivariable system in a structural framework is considered in this paper. Necessary and sufficient conditions for the existence of a nonregular static state feedback that realize the compensator are stated in terms of the zero-pole structure of the compensator, and the modes and the row image of the controllability matrix of the compensated system. Based on these conditions a formula is presented to find the state feedback matrices realizing a given full column rank compensator. We also show that the corresponding state feedback is unique if and only if the closed loop system is controllable.",
keywords = "Linear multivariable systems, Realizability of precompensators, State feedback",
author = "Eduardo Castaneda and Javier Ruiz-Leon",
year = "2012",
month = "12",
day = "14",
language = "Ingl{\'e}s",
isbn = "9781467344975",
series = "World Automation Congress Proceedings",
booktitle = "2012 World Automation Congress, WAC 2012",

}

Castaneda, E & Ruiz-Leon, J 2012, On the realizability of dynamic precompensators in linear multivariable systems. in 2012 World Automation Congress, WAC 2012., 6320939, World Automation Congress Proceedings, 2012 World Automation Congress, WAC 2012, Puerto Vallarta, Mexico, 24/06/12.

On the realizability of dynamic precompensators in linear multivariable systems. / Castaneda, Eduardo; Ruiz-Leon, Javier.

2012 World Automation Congress, WAC 2012. 2012. 6320939 (World Automation Congress Proceedings).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - On the realizability of dynamic precompensators in linear multivariable systems

AU - Castaneda, Eduardo

AU - Ruiz-Leon, Javier

PY - 2012/12/14

Y1 - 2012/12/14

N2 - The problem of static state feedback realization of dynamic full column rank precompensators on a controllable linear multivariable system in a structural framework is considered in this paper. Necessary and sufficient conditions for the existence of a nonregular static state feedback that realize the compensator are stated in terms of the zero-pole structure of the compensator, and the modes and the row image of the controllability matrix of the compensated system. Based on these conditions a formula is presented to find the state feedback matrices realizing a given full column rank compensator. We also show that the corresponding state feedback is unique if and only if the closed loop system is controllable.

AB - The problem of static state feedback realization of dynamic full column rank precompensators on a controllable linear multivariable system in a structural framework is considered in this paper. Necessary and sufficient conditions for the existence of a nonregular static state feedback that realize the compensator are stated in terms of the zero-pole structure of the compensator, and the modes and the row image of the controllability matrix of the compensated system. Based on these conditions a formula is presented to find the state feedback matrices realizing a given full column rank compensator. We also show that the corresponding state feedback is unique if and only if the closed loop system is controllable.

KW - Linear multivariable systems

KW - Realizability of precompensators

KW - State feedback

UR - http://www.scopus.com/inward/record.url?scp=84870785575&partnerID=8YFLogxK

M3 - Contribución a la conferencia

AN - SCOPUS:84870785575

SN - 9781467344975

T3 - World Automation Congress Proceedings

BT - 2012 World Automation Congress, WAC 2012

ER -

Castaneda E, Ruiz-Leon J. On the realizability of dynamic precompensators in linear multivariable systems. In 2012 World Automation Congress, WAC 2012. 2012. 6320939. (World Automation Congress Proceedings).