Design of robust gain scheduled controller using L 2 gain performance

Vojtech Veselý; Martin Ernek

Kybernetika (2018)

  • Volume: 54, Issue: 3, page 593-609
  • ISSN: 0023-5954

Abstract

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This paper is devoted to robust gain scheduled PID controller design with L 2 performance for the linear time varying (LPV) uncertain system with polytopic uncertainties. The novel approach of robust controller design ensures that the obtained design procedure is convex with respect to both plant uncertainties (polytopic system) and gain scheduling parameters and gives less conservative results. Modified design procedure should be used to obtain a robust controller or robust switched controller (ideal, non-ideal switching) with arbitrarily switching algorithm. The effectiveness of the proposed approach is illustrated on the simulation examples.

How to cite

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Veselý, Vojtech, and Ernek, Martin. "Design of robust gain scheduled controller using $L_2$ gain performance." Kybernetika 54.3 (2018): 593-609. <http://eudml.org/doc/294571>.

@article{Veselý2018,
abstract = {This paper is devoted to robust gain scheduled PID controller design with $L_2$ performance for the linear time varying (LPV) uncertain system with polytopic uncertainties. The novel approach of robust controller design ensures that the obtained design procedure is convex with respect to both plant uncertainties (polytopic system) and gain scheduling parameters and gives less conservative results. Modified design procedure should be used to obtain a robust controller or robust switched controller (ideal, non-ideal switching) with arbitrarily switching algorithm. The effectiveness of the proposed approach is illustrated on the simulation examples.},
author = {Veselý, Vojtech, Ernek, Martin},
journal = {Kybernetika},
keywords = {gain scheduled controller; Linear parameter varying systems (LPV); robust controller; switched controller; $L_2$ gain performance},
language = {eng},
number = {3},
pages = {593-609},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Design of robust gain scheduled controller using $L_2$ gain performance},
url = {http://eudml.org/doc/294571},
volume = {54},
year = {2018},
}

TY - JOUR
AU - Veselý, Vojtech
AU - Ernek, Martin
TI - Design of robust gain scheduled controller using $L_2$ gain performance
JO - Kybernetika
PY - 2018
PB - Institute of Information Theory and Automation AS CR
VL - 54
IS - 3
SP - 593
EP - 609
AB - This paper is devoted to robust gain scheduled PID controller design with $L_2$ performance for the linear time varying (LPV) uncertain system with polytopic uncertainties. The novel approach of robust controller design ensures that the obtained design procedure is convex with respect to both plant uncertainties (polytopic system) and gain scheduling parameters and gives less conservative results. Modified design procedure should be used to obtain a robust controller or robust switched controller (ideal, non-ideal switching) with arbitrarily switching algorithm. The effectiveness of the proposed approach is illustrated on the simulation examples.
LA - eng
KW - gain scheduled controller; Linear parameter varying systems (LPV); robust controller; switched controller; $L_2$ gain performance
UR - http://eudml.org/doc/294571
ER -

References

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