Robust Stabilization of Uncertain Linear System with Distributed State Delay

Suthee PHOOJARUENCHANACHAI; Kamol UAHCHINKUL; Jongkol NGAMWIWIT; Yothin PREMPRANEERACH

Robust Stabilization of Uncertain Linear System with Distributed State Delay

Suthee PHOOJARUENCHANACHAI, Kamol UAHCHINKUL, Jongkol NGAMWIWIT, Yothin PREMPRANEERACH

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In this paper, we present the theoretical development to stabilize a class of uncertain time-delay system. The system under consideration is described in state space model containing distributed delay, uncertain parameters and disturbance. The main idea is to transform the system state into an equivalent one, which is easier to analyze its behavior and stability. Then, a computational method of robust controller design is presented in two parts. The first part is based on solving a Riccati equation arising in the optimal control theory. In the second part, the finite dimensional Lyapunov min-max approach is employed to cope with the uncertainties. Finally, we show how the resulting control law ensures asymptotic stability of the overall system.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E82-A No.9 pp.1911-1918

Publication Date: 1999/09/25

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Type of Manuscript: PAPER

Category: Systems and Control

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Suthee PHOOJARUENCHANACHAI, Kamol UAHCHINKUL, Jongkol NGAMWIWIT, Yothin PREMPRANEERACH, "Robust Stabilization of Uncertain Linear System with Distributed State Delay" in IEICE TRANSACTIONS on Fundamentals, vol. E82-A, no. 9, pp. 1911-1918, September 1999, doi: .
Abstract: In this paper, we present the theoretical development to stabilize a class of uncertain time-delay system. The system under consideration is described in state space model containing distributed delay, uncertain parameters and disturbance. The main idea is to transform the system state into an equivalent one, which is easier to analyze its behavior and stability. Then, a computational method of robust controller design is presented in two parts. The first part is based on solving a Riccati equation arising in the optimal control theory. In the second part, the finite dimensional Lyapunov min-max approach is employed to cope with the uncertainties. Finally, we show how the resulting control law ensures asymptotic stability of the overall system.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e82-a_9_1911/_p

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@ARTICLE{e82-a_9_1911,
author={Suthee PHOOJARUENCHANACHAI, Kamol UAHCHINKUL, Jongkol NGAMWIWIT, Yothin PREMPRANEERACH, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Robust Stabilization of Uncertain Linear System with Distributed State Delay},
year={1999},
volume={E82-A},
number={9},
pages={1911-1918},
abstract={In this paper, we present the theoretical development to stabilize a class of uncertain time-delay system. The system under consideration is described in state space model containing distributed delay, uncertain parameters and disturbance. The main idea is to transform the system state into an equivalent one, which is easier to analyze its behavior and stability. Then, a computational method of robust controller design is presented in two parts. The first part is based on solving a Riccati equation arising in the optimal control theory. In the second part, the finite dimensional Lyapunov min-max approach is employed to cope with the uncertainties. Finally, we show how the resulting control law ensures asymptotic stability of the overall system.},
keywords={},
doi={},
ISSN={},
month={September},}

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TY - JOUR
TI - Robust Stabilization of Uncertain Linear System with Distributed State Delay
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1911
EP - 1918
AU - Suthee PHOOJARUENCHANACHAI
AU - Kamol UAHCHINKUL
AU - Jongkol NGAMWIWIT
AU - Yothin PREMPRANEERACH
PY - 1999
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E82-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 1999
AB - In this paper, we present the theoretical development to stabilize a class of uncertain time-delay system. The system under consideration is described in state space model containing distributed delay, uncertain parameters and disturbance. The main idea is to transform the system state into an equivalent one, which is easier to analyze its behavior and stability. Then, a computational method of robust controller design is presented in two parts. The first part is based on solving a Riccati equation arising in the optimal control theory. In the second part, the finite dimensional Lyapunov min-max approach is employed to cope with the uncertainties. Finally, we show how the resulting control law ensures asymptotic stability of the overall system.
ER -