LMI-based control of linear systems with actuator amplitude and rate nonlinearities

Vikram Kapila, Haizhou Pan, Marcio S. de Queiroz

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

Abstract

This paper addresses the control design problem for linear systems subject to actuator amplitude and rate saturation. Motivated by the desire to provide efficient computational algorithms for the actuator amplitude and rate saturation control design, we develop linear matrix inequality (LMI) formulations for the full-state feedback and dynamic, output feedback actuator saturation control. We also provide a direct methodology to determine the stability multipliers that are essential for reducing the conservatism of the weighted circle criterion-based saturation control design. A detailed numerical algorithm for computing the LMI-based actuator amplitude and rate saturation controllers is also included. Finally, a numerical example is given to illustrate the proposed control design framework.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherIEEE
Pages1413-1418
Number of pages6
Volume2
StatePublished - 1999
EventThe 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, USA
Duration: Dec 7 1999Dec 10 1999

Other

OtherThe 38th IEEE Conference on Decision and Control (CDC)
CityPhoenix, AZ, USA
Period12/7/9912/10/99

Fingerprint

Linear matrix inequalities
Linear systems
Actuators
State feedback
Feedback
Controllers

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Kapila, V., Pan, H., & de Queiroz, M. S. (1999). LMI-based control of linear systems with actuator amplitude and rate nonlinearities. In Proceedings of the IEEE Conference on Decision and Control (Vol. 2, pp. 1413-1418). IEEE.

LMI-based control of linear systems with actuator amplitude and rate nonlinearities. / Kapila, Vikram; Pan, Haizhou; de Queiroz, Marcio S.

Proceedings of the IEEE Conference on Decision and Control. Vol. 2 IEEE, 1999. p. 1413-1418.

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

Kapila, V, Pan, H & de Queiroz, MS 1999, LMI-based control of linear systems with actuator amplitude and rate nonlinearities. in Proceedings of the IEEE Conference on Decision and Control. vol. 2, IEEE, pp. 1413-1418, The 38th IEEE Conference on Decision and Control (CDC), Phoenix, AZ, USA, 12/7/99.
Kapila V, Pan H, de Queiroz MS. LMI-based control of linear systems with actuator amplitude and rate nonlinearities. In Proceedings of the IEEE Conference on Decision and Control. Vol. 2. IEEE. 1999. p. 1413-1418
Kapila, Vikram ; Pan, Haizhou ; de Queiroz, Marcio S. / LMI-based control of linear systems with actuator amplitude and rate nonlinearities. Proceedings of the IEEE Conference on Decision and Control. Vol. 2 IEEE, 1999. pp. 1413-1418
@inproceedings{b9df40c64ea04f18884190bbf1027e67,
title = "LMI-based control of linear systems with actuator amplitude and rate nonlinearities",
abstract = "This paper addresses the control design problem for linear systems subject to actuator amplitude and rate saturation. Motivated by the desire to provide efficient computational algorithms for the actuator amplitude and rate saturation control design, we develop linear matrix inequality (LMI) formulations for the full-state feedback and dynamic, output feedback actuator saturation control. We also provide a direct methodology to determine the stability multipliers that are essential for reducing the conservatism of the weighted circle criterion-based saturation control design. A detailed numerical algorithm for computing the LMI-based actuator amplitude and rate saturation controllers is also included. Finally, a numerical example is given to illustrate the proposed control design framework.",
author = "Vikram Kapila and Haizhou Pan and {de Queiroz}, {Marcio S.}",
year = "1999",
language = "English (US)",
volume = "2",
pages = "1413--1418",
booktitle = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "IEEE",

}

TY - GEN

T1 - LMI-based control of linear systems with actuator amplitude and rate nonlinearities

AU - Kapila, Vikram

AU - Pan, Haizhou

AU - de Queiroz, Marcio S.

PY - 1999

Y1 - 1999

N2 - This paper addresses the control design problem for linear systems subject to actuator amplitude and rate saturation. Motivated by the desire to provide efficient computational algorithms for the actuator amplitude and rate saturation control design, we develop linear matrix inequality (LMI) formulations for the full-state feedback and dynamic, output feedback actuator saturation control. We also provide a direct methodology to determine the stability multipliers that are essential for reducing the conservatism of the weighted circle criterion-based saturation control design. A detailed numerical algorithm for computing the LMI-based actuator amplitude and rate saturation controllers is also included. Finally, a numerical example is given to illustrate the proposed control design framework.

AB - This paper addresses the control design problem for linear systems subject to actuator amplitude and rate saturation. Motivated by the desire to provide efficient computational algorithms for the actuator amplitude and rate saturation control design, we develop linear matrix inequality (LMI) formulations for the full-state feedback and dynamic, output feedback actuator saturation control. We also provide a direct methodology to determine the stability multipliers that are essential for reducing the conservatism of the weighted circle criterion-based saturation control design. A detailed numerical algorithm for computing the LMI-based actuator amplitude and rate saturation controllers is also included. Finally, a numerical example is given to illustrate the proposed control design framework.

UR - http://www.scopus.com/inward/record.url?scp=0033349820&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033349820&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0033349820

VL - 2

SP - 1413

EP - 1418

BT - Proceedings of the IEEE Conference on Decision and Control

PB - IEEE

ER -