Robust flatness-based tracking control for brushless direct current motor drives

Hassan A. Yousef, Hisham M. Soliman

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The trajectory tracking problem for nonlinear brushless direct current drive is solved by combined robust and flatness state feedback control. The drive's nonlinear model is shown to have the flatness property. The proposed controller consists of two parts, linear and nonlinear. Linear matrix inequalities (LMI) optimization is used to design the linear part which achieves robust stability against system uncertainties, desired swiftness, and guaranteed cost performance. System uncertainty due to changes in the drive's parameters is represented with a norm-bounded structure. The nonlinear control part solves the motion planning problem through flatness which avoids integrating the differential equations of the dynamics. The main advantages of this technique are that the LMI algorithm includes an optimal part to preclude high control efforts, and the control burden is heavily placed on the linear part to achieve flatness properties. In some systems, in which flatness cannot be achieved, adding robust linear control can overcome or alleviate this problem.

Original languageEnglish
Pages (from-to)3254-3265
Number of pages12
JournalJVC/Journal of Vibration and Control
Volume21
Issue number16
DOIs
Publication statusPublished - Dec 1 2015

Fingerprint

Linear matrix inequalities
Motion planning
State feedback
Feedback control
Differential equations
Trajectories
Controllers
Costs
Uncertainty
Robust stability

Keywords

  • DC machines
  • electric drives
  • flatness control
  • guaranteed cost control
  • linear matrix inequalities (LMI)
  • nonlinear systems
  • state feedback
  • tracking control

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Science(all)
  • Aerospace Engineering
  • Automotive Engineering

Cite this

Robust flatness-based tracking control for brushless direct current motor drives. / Yousef, Hassan A.; Soliman, Hisham M.

In: JVC/Journal of Vibration and Control, Vol. 21, No. 16, 01.12.2015, p. 3254-3265.

Research output: Contribution to journalArticle

@article{5e6995c616474c8cb9102fc0dee883ea,
title = "Robust flatness-based tracking control for brushless direct current motor drives",
abstract = "The trajectory tracking problem for nonlinear brushless direct current drive is solved by combined robust and flatness state feedback control. The drive's nonlinear model is shown to have the flatness property. The proposed controller consists of two parts, linear and nonlinear. Linear matrix inequalities (LMI) optimization is used to design the linear part which achieves robust stability against system uncertainties, desired swiftness, and guaranteed cost performance. System uncertainty due to changes in the drive's parameters is represented with a norm-bounded structure. The nonlinear control part solves the motion planning problem through flatness which avoids integrating the differential equations of the dynamics. The main advantages of this technique are that the LMI algorithm includes an optimal part to preclude high control efforts, and the control burden is heavily placed on the linear part to achieve flatness properties. In some systems, in which flatness cannot be achieved, adding robust linear control can overcome or alleviate this problem.",
keywords = "DC machines, electric drives, flatness control, guaranteed cost control, linear matrix inequalities (LMI), nonlinear systems, state feedback, tracking control",
author = "Yousef, {Hassan A.} and Soliman, {Hisham M.}",
year = "2015",
month = "12",
day = "1",
doi = "10.1177/1077546314520834",
language = "English",
volume = "21",
pages = "3254--3265",
journal = "JVC/Journal of Vibration and Control",
issn = "1077-5463",
publisher = "SAGE Publications Inc.",
number = "16",

}

TY - JOUR

T1 - Robust flatness-based tracking control for brushless direct current motor drives

AU - Yousef, Hassan A.

AU - Soliman, Hisham M.

PY - 2015/12/1

Y1 - 2015/12/1

N2 - The trajectory tracking problem for nonlinear brushless direct current drive is solved by combined robust and flatness state feedback control. The drive's nonlinear model is shown to have the flatness property. The proposed controller consists of two parts, linear and nonlinear. Linear matrix inequalities (LMI) optimization is used to design the linear part which achieves robust stability against system uncertainties, desired swiftness, and guaranteed cost performance. System uncertainty due to changes in the drive's parameters is represented with a norm-bounded structure. The nonlinear control part solves the motion planning problem through flatness which avoids integrating the differential equations of the dynamics. The main advantages of this technique are that the LMI algorithm includes an optimal part to preclude high control efforts, and the control burden is heavily placed on the linear part to achieve flatness properties. In some systems, in which flatness cannot be achieved, adding robust linear control can overcome or alleviate this problem.

AB - The trajectory tracking problem for nonlinear brushless direct current drive is solved by combined robust and flatness state feedback control. The drive's nonlinear model is shown to have the flatness property. The proposed controller consists of two parts, linear and nonlinear. Linear matrix inequalities (LMI) optimization is used to design the linear part which achieves robust stability against system uncertainties, desired swiftness, and guaranteed cost performance. System uncertainty due to changes in the drive's parameters is represented with a norm-bounded structure. The nonlinear control part solves the motion planning problem through flatness which avoids integrating the differential equations of the dynamics. The main advantages of this technique are that the LMI algorithm includes an optimal part to preclude high control efforts, and the control burden is heavily placed on the linear part to achieve flatness properties. In some systems, in which flatness cannot be achieved, adding robust linear control can overcome or alleviate this problem.

KW - DC machines

KW - electric drives

KW - flatness control

KW - guaranteed cost control

KW - linear matrix inequalities (LMI)

KW - nonlinear systems

KW - state feedback

KW - tracking control

UR - http://www.scopus.com/inward/record.url?scp=84947998676&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84947998676&partnerID=8YFLogxK

U2 - 10.1177/1077546314520834

DO - 10.1177/1077546314520834

M3 - Article

AN - SCOPUS:84947998676

VL - 21

SP - 3254

EP - 3265

JO - JVC/Journal of Vibration and Control

JF - JVC/Journal of Vibration and Control

SN - 1077-5463

IS - 16

ER -