Linear quadratic suboptimal control for time delays systems

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Linear quadratic suboptimal control for time delays systems. / Santos, O.; Mondié, S.; Kharitonov, V. L.

In: International Journal of Control, Vol. 82, No. 1, 01.2009, p. 147-154.

Research output: Contribution to journal › Article › peer-review

Author

Santos, O. ; Mondié, S. ; Kharitonov, V. L. / Linear quadratic suboptimal control for time delays systems. In: International Journal of Control. 2009 ; Vol. 82, No. 1. pp. 147-154.

BibTeX

@article{1bd92f1246b64af0bcba009f2959e2d5,

title = "Linear quadratic suboptimal control for time delays systems",

abstract = "In this contribution we propose to extend the well-known iterative procedure for the synthesis of suboptimal control laws for linear delay free control system introduced in Vaisbord (1963) to the case of control systems with pointwise and distributed delays. The iterative procedure is based on the idea of the approximate construction of the Bellman functional in the form of quadratic Lyapunov-Krasovskii functionals. The procedure at each step generates a new stabilising suboptimal control law that reduces the value of the quadratic performance index. We present in this contribution formulas for the computation of control laws.",

keywords = "Dynamic, Lyapunov-Krasovskii functional of complete type, Suboptimal control, Time delay systems",

author = "O. Santos and S. Mondi{\'e} and Kharitonov, {V. L.}",

year = "2009",

month = jan,

doi = "10.1080/00207170802027401",

language = "English",

volume = "82",

pages = "147--154",

journal = "International Journal of Control",

issn = "0020-7179",

publisher = "Taylor & Francis",

number = "1",

}

RIS

TY - JOUR

T1 - Linear quadratic suboptimal control for time delays systems

AU - Santos, O.

AU - Mondié, S.

AU - Kharitonov, V. L.

PY - 2009/1

Y1 - 2009/1

N2 - In this contribution we propose to extend the well-known iterative procedure for the synthesis of suboptimal control laws for linear delay free control system introduced in Vaisbord (1963) to the case of control systems with pointwise and distributed delays. The iterative procedure is based on the idea of the approximate construction of the Bellman functional in the form of quadratic Lyapunov-Krasovskii functionals. The procedure at each step generates a new stabilising suboptimal control law that reduces the value of the quadratic performance index. We present in this contribution formulas for the computation of control laws.

AB - In this contribution we propose to extend the well-known iterative procedure for the synthesis of suboptimal control laws for linear delay free control system introduced in Vaisbord (1963) to the case of control systems with pointwise and distributed delays. The iterative procedure is based on the idea of the approximate construction of the Bellman functional in the form of quadratic Lyapunov-Krasovskii functionals. The procedure at each step generates a new stabilising suboptimal control law that reduces the value of the quadratic performance index. We present in this contribution formulas for the computation of control laws.

KW - Dynamic

KW - Lyapunov-Krasovskii functional of complete type

KW - Suboptimal control

KW - Time delay systems

UR - http://www.scopus.com/inward/record.url?scp=54949097396&partnerID=8YFLogxK

U2 - 10.1080/00207170802027401

DO - 10.1080/00207170802027401

M3 - Article

AN - SCOPUS:54949097396

VL - 82

SP - 147

EP - 154

JO - International Journal of Control

JF - International Journal of Control

SN - 0020-7179

IS - 1

ER -

ID: 9422553