L-2 gain control of time-delay systems with actuator saturation

M.N.Alpasian Parlakci; Ibrahim B. Kucukdemiral

doi:10.1109/ICSSE.2010.5551777

L-2 gain control of time-delay systems with actuator saturation

M.N.Alpasian Parlakci, Ibrahim B. Kucukdemiral

Instrumentation and Control

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Disturbance attenuation problem in terms of L 2- gain for continuous linear time-delay (LTD) systems with nonzero initial conditions, time-varying delays and saturating control is addressed where the disturbances acting on the system are with bounded energy. First, a group of sufficient conditions in terms of bilinear matrix inequalities (BMIs) are obtained. Then, to solve this problem, cone complementary linearization method is adopted to the problem. The proposed method utilizes convex description of nonlinear saturation phenomenon by means of convex hull of some linear feedback which leads to a few additional ellipsoidal conditions in terms of linear matrix inequalities (LMIs). The validity of the method is illustrated through some examples at the end.

Original language	English
Title of host publication	2010 International Conference on System Science and Engineering
Publisher	IEEE
Pages	263-268
Number of pages	6
ISBN (Electronic)	9781424464746
ISBN (Print)	9781424464722
DOIs	https://doi.org/10.1109/ICSSE.2010.5551777
Publication status	Published - 2010

Keywords

time-delayed systems
L2 gain control
actuator saturation
LMIs
artificial neural network

Documents and Links

10.1109/ICSSE.2010.5551777

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title = "L-2 gain control of time-delay systems with actuator saturation",

abstract = "Disturbance attenuation problem in terms of L 2- gain for continuous linear time-delay (LTD) systems with nonzero initial conditions, time-varying delays and saturating control is addressed where the disturbances acting on the system are with bounded energy. First, a group of sufficient conditions in terms of bilinear matrix inequalities (BMIs) are obtained. Then, to solve this problem, cone complementary linearization method is adopted to the problem. The proposed method utilizes convex description of nonlinear saturation phenomenon by means of convex hull of some linear feedback which leads to a few additional ellipsoidal conditions in terms of linear matrix inequalities (LMIs). The validity of the method is illustrated through some examples at the end.",

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AU - Parlakci, M.N.Alpasian

AU - Kucukdemiral, Ibrahim B.

PY - 2010

Y1 - 2010

N2 - Disturbance attenuation problem in terms of L 2- gain for continuous linear time-delay (LTD) systems with nonzero initial conditions, time-varying delays and saturating control is addressed where the disturbances acting on the system are with bounded energy. First, a group of sufficient conditions in terms of bilinear matrix inequalities (BMIs) are obtained. Then, to solve this problem, cone complementary linearization method is adopted to the problem. The proposed method utilizes convex description of nonlinear saturation phenomenon by means of convex hull of some linear feedback which leads to a few additional ellipsoidal conditions in terms of linear matrix inequalities (LMIs). The validity of the method is illustrated through some examples at the end.

AB - Disturbance attenuation problem in terms of L 2- gain for continuous linear time-delay (LTD) systems with nonzero initial conditions, time-varying delays and saturating control is addressed where the disturbances acting on the system are with bounded energy. First, a group of sufficient conditions in terms of bilinear matrix inequalities (BMIs) are obtained. Then, to solve this problem, cone complementary linearization method is adopted to the problem. The proposed method utilizes convex description of nonlinear saturation phenomenon by means of convex hull of some linear feedback which leads to a few additional ellipsoidal conditions in terms of linear matrix inequalities (LMIs). The validity of the method is illustrated through some examples at the end.

KW - time-delayed systems

KW - L2 gain control

KW - actuator saturation

KW - LMIs

KW - artificial neural network

U2 - 10.1109/ICSSE.2010.5551777

DO - 10.1109/ICSSE.2010.5551777

M3 - Conference contribution

SN - 9781424464722

SP - 263

EP - 268

BT - 2010 International Conference on System Science and Engineering

PB - IEEE

ER -