Fixed point stabilization in a novel MRAC control for MIMO systems

J. Tar, I. Rudas, J. F. Bitó

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

Abstract

The "Model Reference Adaptive Control (MRAC)" is a popular approach from the early nineties to our days. Its basic idea is the application of proper feedback that makes the behavior of the controlled system identical to that of the "reference model". It has many particular variants with the common feature that they are designed by the use of Lyapunov's 2 nd method. Though this approach normally guarantees global asymptotic stability, its use can entail complicated parameter tuning process that is sensitive to unknown external disturbances. In this paper an alternative approach, the application of "Robust Fixed Point Transformations (RFPT)" in the MRAC technique is recommended. It applies strongly saturated, multiplicative nonlinear terms causing a kind of " deformation" of the input to the available imprecise system model. The appropriate "deformation" is obtained by Cauchy Sequences that are convergent only within a local basin of attraction. This technique can well compensate the simultaneous consequences of modeling errors and external disturbances, too. To stabilize the control within the range of convergence a simple tuning procedure is recommended in this paper, too. As a potential application paradigm the novel MRAC control of a "cart - beam - hamper" system is considered. The conclusions of the paper are illustrated by simulation results.

Original languageEnglish
Title of host publicationSIISY 2010 - 8th IEEE International Symposium on Intelligent Systems and Informatics
Pages377-382
Number of pages6
DOIs
Publication statusPublished - 2010
Event8th IEEE International Symposium on Intelligent Systems and Informatics, SIISY 2010 - Subotica, Serbia
Duration: Sep 10 2010Sep 11 2010

Other

Other8th IEEE International Symposium on Intelligent Systems and Informatics, SIISY 2010
CountrySerbia
CitySubotica
Period9/10/109/11/10

Fingerprint

Model reference adaptive control
MIMO systems
Stabilization
Tuning
Asymptotic stability
Feedback

ASJC Scopus subject areas

  • Artificial Intelligence
  • Information Systems

Cite this

Tar, J., Rudas, I., & Bitó, J. F. (2010). Fixed point stabilization in a novel MRAC control for MIMO systems. In SIISY 2010 - 8th IEEE International Symposium on Intelligent Systems and Informatics (pp. 377-382). [5647393] https://doi.org/10.1109/SISY.2010.5647393

Fixed point stabilization in a novel MRAC control for MIMO systems. / Tar, J.; Rudas, I.; Bitó, J. F.

SIISY 2010 - 8th IEEE International Symposium on Intelligent Systems and Informatics. 2010. p. 377-382 5647393.

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

Tar, J, Rudas, I & Bitó, JF 2010, Fixed point stabilization in a novel MRAC control for MIMO systems. in SIISY 2010 - 8th IEEE International Symposium on Intelligent Systems and Informatics., 5647393, pp. 377-382, 8th IEEE International Symposium on Intelligent Systems and Informatics, SIISY 2010, Subotica, Serbia, 9/10/10. https://doi.org/10.1109/SISY.2010.5647393
Tar J, Rudas I, Bitó JF. Fixed point stabilization in a novel MRAC control for MIMO systems. In SIISY 2010 - 8th IEEE International Symposium on Intelligent Systems and Informatics. 2010. p. 377-382. 5647393 https://doi.org/10.1109/SISY.2010.5647393
Tar, J. ; Rudas, I. ; Bitó, J. F. / Fixed point stabilization in a novel MRAC control for MIMO systems. SIISY 2010 - 8th IEEE International Symposium on Intelligent Systems and Informatics. 2010. pp. 377-382
@inproceedings{a155ff6b22a34ff0b56de8f72fc9d7cb,
title = "Fixed point stabilization in a novel MRAC control for MIMO systems",
abstract = "The {"}Model Reference Adaptive Control (MRAC){"} is a popular approach from the early nineties to our days. Its basic idea is the application of proper feedback that makes the behavior of the controlled system identical to that of the {"}reference model{"}. It has many particular variants with the common feature that they are designed by the use of Lyapunov's 2 nd method. Though this approach normally guarantees global asymptotic stability, its use can entail complicated parameter tuning process that is sensitive to unknown external disturbances. In this paper an alternative approach, the application of {"}Robust Fixed Point Transformations (RFPT){"} in the MRAC technique is recommended. It applies strongly saturated, multiplicative nonlinear terms causing a kind of {"} deformation{"} of the input to the available imprecise system model. The appropriate {"}deformation{"} is obtained by Cauchy Sequences that are convergent only within a local basin of attraction. This technique can well compensate the simultaneous consequences of modeling errors and external disturbances, too. To stabilize the control within the range of convergence a simple tuning procedure is recommended in this paper, too. As a potential application paradigm the novel MRAC control of a {"}cart - beam - hamper{"} system is considered. The conclusions of the paper are illustrated by simulation results.",
author = "J. Tar and I. Rudas and Bit{\'o}, {J. F.}",
year = "2010",
doi = "10.1109/SISY.2010.5647393",
language = "English",
isbn = "9781424473946",
pages = "377--382",
booktitle = "SIISY 2010 - 8th IEEE International Symposium on Intelligent Systems and Informatics",

}

TY - GEN

T1 - Fixed point stabilization in a novel MRAC control for MIMO systems

AU - Tar, J.

AU - Rudas, I.

AU - Bitó, J. F.

PY - 2010

Y1 - 2010

N2 - The "Model Reference Adaptive Control (MRAC)" is a popular approach from the early nineties to our days. Its basic idea is the application of proper feedback that makes the behavior of the controlled system identical to that of the "reference model". It has many particular variants with the common feature that they are designed by the use of Lyapunov's 2 nd method. Though this approach normally guarantees global asymptotic stability, its use can entail complicated parameter tuning process that is sensitive to unknown external disturbances. In this paper an alternative approach, the application of "Robust Fixed Point Transformations (RFPT)" in the MRAC technique is recommended. It applies strongly saturated, multiplicative nonlinear terms causing a kind of " deformation" of the input to the available imprecise system model. The appropriate "deformation" is obtained by Cauchy Sequences that are convergent only within a local basin of attraction. This technique can well compensate the simultaneous consequences of modeling errors and external disturbances, too. To stabilize the control within the range of convergence a simple tuning procedure is recommended in this paper, too. As a potential application paradigm the novel MRAC control of a "cart - beam - hamper" system is considered. The conclusions of the paper are illustrated by simulation results.

AB - The "Model Reference Adaptive Control (MRAC)" is a popular approach from the early nineties to our days. Its basic idea is the application of proper feedback that makes the behavior of the controlled system identical to that of the "reference model". It has many particular variants with the common feature that they are designed by the use of Lyapunov's 2 nd method. Though this approach normally guarantees global asymptotic stability, its use can entail complicated parameter tuning process that is sensitive to unknown external disturbances. In this paper an alternative approach, the application of "Robust Fixed Point Transformations (RFPT)" in the MRAC technique is recommended. It applies strongly saturated, multiplicative nonlinear terms causing a kind of " deformation" of the input to the available imprecise system model. The appropriate "deformation" is obtained by Cauchy Sequences that are convergent only within a local basin of attraction. This technique can well compensate the simultaneous consequences of modeling errors and external disturbances, too. To stabilize the control within the range of convergence a simple tuning procedure is recommended in this paper, too. As a potential application paradigm the novel MRAC control of a "cart - beam - hamper" system is considered. The conclusions of the paper are illustrated by simulation results.

UR - http://www.scopus.com/inward/record.url?scp=78650536103&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650536103&partnerID=8YFLogxK

U2 - 10.1109/SISY.2010.5647393

DO - 10.1109/SISY.2010.5647393

M3 - Conference contribution

SN - 9781424473946

SP - 377

EP - 382

BT - SIISY 2010 - 8th IEEE International Symposium on Intelligent Systems and Informatics

ER -