Non-fragile guaranteed cost control of uncertain nonlinear systems with time-varying delays in state and control input

Jae Man Kim, Yoon Ho Choi, Jin Bae Park

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, we present a non-fragile guaranteed cost control design method for uncertain nonlinear systems with time varying delays in state and control input, even though the controller gain is perturbed. The uncertain nonlinear term in the systems is norm bounded and the linear matrix inequality(LMI) optimization method is employed as a stability analysis of the systems. We design a robust controller and show the asymptotical stability of uncertain time-varying systems based on Lyapunov method. Also, we guarantee a specific level of performance of the systems. The simulations are carried out to demonstrate the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)459-465
Number of pages7
JournalTransactions of the Korean Institute of Electrical Engineers
Volume61
Issue number3
DOIs
Publication statusPublished - 2012 Mar 1

Fingerprint

Nonlinear systems
Lyapunov methods
Controllers
Time varying systems
Linear matrix inequalities
Costs

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

@article{cacb73e82cb14d1da7e971161b8c11e2,
title = "Non-fragile guaranteed cost control of uncertain nonlinear systems with time-varying delays in state and control input",
abstract = "In this paper, we present a non-fragile guaranteed cost control design method for uncertain nonlinear systems with time varying delays in state and control input, even though the controller gain is perturbed. The uncertain nonlinear term in the systems is norm bounded and the linear matrix inequality(LMI) optimization method is employed as a stability analysis of the systems. We design a robust controller and show the asymptotical stability of uncertain time-varying systems based on Lyapunov method. Also, we guarantee a specific level of performance of the systems. The simulations are carried out to demonstrate the effectiveness of the proposed method.",
author = "Kim, {Jae Man} and Choi, {Yoon Ho} and Park, {Jin Bae}",
year = "2012",
month = "3",
day = "1",
doi = "10.5370/KIEE.2012.61.3.459",
language = "English",
volume = "61",
pages = "459--465",
journal = "Transactions of the Korean Institute of Electrical Engineers",
issn = "1975-8359",
publisher = "Korean Institute of Electrical Engineers",
number = "3",

}

TY - JOUR

T1 - Non-fragile guaranteed cost control of uncertain nonlinear systems with time-varying delays in state and control input

AU - Kim, Jae Man

AU - Choi, Yoon Ho

AU - Park, Jin Bae

PY - 2012/3/1

Y1 - 2012/3/1

N2 - In this paper, we present a non-fragile guaranteed cost control design method for uncertain nonlinear systems with time varying delays in state and control input, even though the controller gain is perturbed. The uncertain nonlinear term in the systems is norm bounded and the linear matrix inequality(LMI) optimization method is employed as a stability analysis of the systems. We design a robust controller and show the asymptotical stability of uncertain time-varying systems based on Lyapunov method. Also, we guarantee a specific level of performance of the systems. The simulations are carried out to demonstrate the effectiveness of the proposed method.

AB - In this paper, we present a non-fragile guaranteed cost control design method for uncertain nonlinear systems with time varying delays in state and control input, even though the controller gain is perturbed. The uncertain nonlinear term in the systems is norm bounded and the linear matrix inequality(LMI) optimization method is employed as a stability analysis of the systems. We design a robust controller and show the asymptotical stability of uncertain time-varying systems based on Lyapunov method. Also, we guarantee a specific level of performance of the systems. The simulations are carried out to demonstrate the effectiveness of the proposed method.

UR - http://www.scopus.com/inward/record.url?scp=84859080123&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84859080123&partnerID=8YFLogxK

U2 - 10.5370/KIEE.2012.61.3.459

DO - 10.5370/KIEE.2012.61.3.459

M3 - Article

VL - 61

SP - 459

EP - 465

JO - Transactions of the Korean Institute of Electrical Engineers

JF - Transactions of the Korean Institute of Electrical Engineers

SN - 1975-8359

IS - 3

ER -