Publication

New robust LMI synthesis conditions for mixed H2/H infinity gain-scheduled reduced-order DOF control of discrete-time LPV systems

Rosa, T. E., Morais, C. F. & Oliveira, R. C. L. F., 1-Dec-2018, In : International Journal of Robust and Nonlinear Control. 28, 18, p. 6122-6145 24 p.

Research output: Contribution to journalArticleAcademicpeer-review

APA

Rosa, T. E., Morais, C. F., & Oliveira, R. C. L. F. (2018). New robust LMI synthesis conditions for mixed H2/H infinity gain-scheduled reduced-order DOF control of discrete-time LPV systems. International Journal of Robust and Nonlinear Control, 28(18), 6122-6145. https://doi.org/10.1002/rnc.4365

Author

Rosa, Tabitha E. ; Morais, Cecilia F. ; Oliveira, Ricardo C. L. F. / New robust LMI synthesis conditions for mixed H2/H infinity gain-scheduled reduced-order DOF control of discrete-time LPV systems. In: International Journal of Robust and Nonlinear Control. 2018 ; Vol. 28, No. 18. pp. 6122-6145.

Harvard

Rosa, TE, Morais, CF & Oliveira, RCLF 2018, 'New robust LMI synthesis conditions for mixed H2/H infinity gain-scheduled reduced-order DOF control of discrete-time LPV systems', International Journal of Robust and Nonlinear Control, vol. 28, no. 18, pp. 6122-6145. https://doi.org/10.1002/rnc.4365

Standard

New robust LMI synthesis conditions for mixed H2/H infinity gain-scheduled reduced-order DOF control of discrete-time LPV systems. / Rosa, Tabitha E.; Morais, Cecilia F.; Oliveira, Ricardo C. L. F.

In: International Journal of Robust and Nonlinear Control, Vol. 28, No. 18, 01.12.2018, p. 6122-6145.

Research output: Contribution to journalArticleAcademicpeer-review

Vancouver

Rosa TE, Morais CF, Oliveira RCLF. New robust LMI synthesis conditions for mixed H2/H infinity gain-scheduled reduced-order DOF control of discrete-time LPV systems. International Journal of Robust and Nonlinear Control. 2018 Dec 1;28(18):6122-6145. https://doi.org/10.1002/rnc.4365


BibTeX

@article{ea298ebaa77b4da4be3c15aa4af2cc62,
title = "New robust LMI synthesis conditions for mixed H2/H infinity gain-scheduled reduced-order DOF control of discrete-time LPV systems",
abstract = "This paper investigates the problems of stabilization and mixed H2/H infinity reduced-order dynamic output-feedback control of discrete-time linear systems. The synthesis conditions are formulated in terms of parameterdependent linear matrix inequalities (LMIs) combined with scalar parameters, dealing with state-space models where the matrices depend polynomially on time-varying parameters and are affected by norm-bounded uncertainties. The motivation to handle these models comes from the context of networked control systems, particularly when a continuous-time plant is controlled by a digitally implemented controller. The main technical contribution is a distinct LMI-based condition for the dynamic output-feedback problem, allowing an arbitrary structure (polynomial of arbitrary degree) for the measured output matrix. Additionally, an innovative heuristic is proposed to reduce the conservativeness of the stabilization problem. Numerical examples are provided to illustrate the potentialities of the approach to cope with several classes of discrete-time linear systems (time-invariant and time-varying) and the efficiency of the proposed design conditions when compared with other methods available in the literature.",
keywords = "gain-scheduled control, LMI relaxations, LPV discrete-time systems, mixed H2/H infinity control, output-feedback control, OUTPUT-FEEDBACK CONTROL, PARAMETER-VARYING SYSTEMS, H-INFINITY CONTROL, LINEAR-SYSTEMS, CONTROL DESIGN, POLYTOPIC UNCERTAINTIES, DEPENDENT LMIS, STABILIZATION, STABILITY, H-2/H-INFINITY",
author = "Rosa, {Tabitha E.} and Morais, {Cecilia F.} and Oliveira, {Ricardo C. L. F.}",
year = "2018",
month = dec,
day = "1",
doi = "10.1002/rnc.4365",
language = "English",
volume = "28",
pages = "6122--6145",
journal = "International Journal of Robust and Nonlinear Control",
issn = "1049-8923",
publisher = "Wiley",
number = "18",

}

RIS

TY - JOUR

T1 - New robust LMI synthesis conditions for mixed H2/H infinity gain-scheduled reduced-order DOF control of discrete-time LPV systems

AU - Rosa, Tabitha E.

AU - Morais, Cecilia F.

AU - Oliveira, Ricardo C. L. F.

PY - 2018/12/1

Y1 - 2018/12/1

N2 - This paper investigates the problems of stabilization and mixed H2/H infinity reduced-order dynamic output-feedback control of discrete-time linear systems. The synthesis conditions are formulated in terms of parameterdependent linear matrix inequalities (LMIs) combined with scalar parameters, dealing with state-space models where the matrices depend polynomially on time-varying parameters and are affected by norm-bounded uncertainties. The motivation to handle these models comes from the context of networked control systems, particularly when a continuous-time plant is controlled by a digitally implemented controller. The main technical contribution is a distinct LMI-based condition for the dynamic output-feedback problem, allowing an arbitrary structure (polynomial of arbitrary degree) for the measured output matrix. Additionally, an innovative heuristic is proposed to reduce the conservativeness of the stabilization problem. Numerical examples are provided to illustrate the potentialities of the approach to cope with several classes of discrete-time linear systems (time-invariant and time-varying) and the efficiency of the proposed design conditions when compared with other methods available in the literature.

AB - This paper investigates the problems of stabilization and mixed H2/H infinity reduced-order dynamic output-feedback control of discrete-time linear systems. The synthesis conditions are formulated in terms of parameterdependent linear matrix inequalities (LMIs) combined with scalar parameters, dealing with state-space models where the matrices depend polynomially on time-varying parameters and are affected by norm-bounded uncertainties. The motivation to handle these models comes from the context of networked control systems, particularly when a continuous-time plant is controlled by a digitally implemented controller. The main technical contribution is a distinct LMI-based condition for the dynamic output-feedback problem, allowing an arbitrary structure (polynomial of arbitrary degree) for the measured output matrix. Additionally, an innovative heuristic is proposed to reduce the conservativeness of the stabilization problem. Numerical examples are provided to illustrate the potentialities of the approach to cope with several classes of discrete-time linear systems (time-invariant and time-varying) and the efficiency of the proposed design conditions when compared with other methods available in the literature.

KW - gain-scheduled control

KW - LMI relaxations

KW - LPV discrete-time systems

KW - mixed H2/H infinity control

KW - output-feedback control

KW - OUTPUT-FEEDBACK CONTROL

KW - PARAMETER-VARYING SYSTEMS

KW - H-INFINITY CONTROL

KW - LINEAR-SYSTEMS

KW - CONTROL DESIGN

KW - POLYTOPIC UNCERTAINTIES

KW - DEPENDENT LMIS

KW - STABILIZATION

KW - STABILITY

KW - H-2/H-INFINITY

U2 - 10.1002/rnc.4365

DO - 10.1002/rnc.4365

M3 - Article

VL - 28

SP - 6122

EP - 6145

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

SN - 1049-8923

IS - 18

ER -

ID: 71533558