Robust H∞ fuzzy filter design for uncertain nonlinear singularly perturbed systems with Markovian jumps: An LMI approach

Wudhichai Assawinchaichote; Sing Kiong Nguang; Peng Shi; Ramesh K. Agarwal

Robust H_∞ fuzzy filter design for uncertain nonlinear singularly perturbed systems with Markovian jumps: An LMI approach

Wudhichai Assawinchaichote
, Sing Kiong Nguang
, Peng Shi
, Ramesh K. Agarwal

Research output: Contribution to journal › Conference article › peer-review

Abstract

This paper examines the problem of designing a robust H_∞ fuzzy filter for a singularly perturbed Takagi-Sugeno (TS) fuzzy system with Markovian jumps. Based on a linear matrix inequality (LMI) approach, sufficient conditions for the existence of a robust H_∞, fuzzy filter are derived in terms of a family of LMIs. To alleviate the numerical stiffness resulting from the interaction of slow and fast dynamic modes, solutions to the problem are given in terms of linear matrix inequalities which are independent of the singular perturbation ε. The proposed approach does not involve the separation of states into slow and fast ones and it can be applied to both standard and nonstandard nonlinear singularly perturbed systems.

Original language	English
Article number	WeA11.6
Pages (from-to)	1773-1777
Number of pages	5
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	2
State	Published - 2004
Event	2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas Duration: Dec 14 2004 → Dec 17 2004

Cite this

@article{1f569e9826be46869fc4788009757ddc,

title = "Robust H∞ fuzzy filter design for uncertain nonlinear singularly perturbed systems with Markovian jumps: An LMI approach",

abstract = "This paper examines the problem of designing a robust H∞ fuzzy filter for a singularly perturbed Takagi-Sugeno (TS) fuzzy system with Markovian jumps. Based on a linear matrix inequality (LMI) approach, sufficient conditions for the existence of a robust H∞, fuzzy filter are derived in terms of a family of LMIs. To alleviate the numerical stiffness resulting from the interaction of slow and fast dynamic modes, solutions to the problem are given in terms of linear matrix inequalities which are independent of the singular perturbation ε. The proposed approach does not involve the separation of states into slow and fast ones and it can be applied to both standard and nonstandard nonlinear singularly perturbed systems.",

author = "Wudhichai Assawinchaichote and Nguang, \{Sing Kiong\} and Peng Shi and Agarwal, \{Ramesh K.\}",

year = "2004",

language = "English",

volume = "2",

pages = "1773--1777",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0743-1546",

note = "2004 43rd IEEE Conference on Decision and Control (CDC) ; Conference date: 14-12-2004 Through 17-12-2004",

}

Robust H_∞ fuzzy filter design for uncertain nonlinear singularly perturbed systems with Markovian jumps: An LMI approach. / Assawinchaichote, Wudhichai; Nguang, Sing Kiong; Shi, Peng et al.
In: Proceedings of the IEEE Conference on Decision and Control, Vol. 2, WeA11.6, 2004, p. 1773-1777.

Research output: Contribution to journal › Conference article › peer-review

TY - JOUR

T1 - Robust H∞ fuzzy filter design for uncertain nonlinear singularly perturbed systems with Markovian jumps

T2 - 2004 43rd IEEE Conference on Decision and Control (CDC)

AU - Assawinchaichote, Wudhichai

AU - Nguang, Sing Kiong

AU - Shi, Peng

AU - Agarwal, Ramesh K.

PY - 2004

Y1 - 2004

N2 - This paper examines the problem of designing a robust H∞ fuzzy filter for a singularly perturbed Takagi-Sugeno (TS) fuzzy system with Markovian jumps. Based on a linear matrix inequality (LMI) approach, sufficient conditions for the existence of a robust H∞, fuzzy filter are derived in terms of a family of LMIs. To alleviate the numerical stiffness resulting from the interaction of slow and fast dynamic modes, solutions to the problem are given in terms of linear matrix inequalities which are independent of the singular perturbation ε. The proposed approach does not involve the separation of states into slow and fast ones and it can be applied to both standard and nonstandard nonlinear singularly perturbed systems.

AB - This paper examines the problem of designing a robust H∞ fuzzy filter for a singularly perturbed Takagi-Sugeno (TS) fuzzy system with Markovian jumps. Based on a linear matrix inequality (LMI) approach, sufficient conditions for the existence of a robust H∞, fuzzy filter are derived in terms of a family of LMIs. To alleviate the numerical stiffness resulting from the interaction of slow and fast dynamic modes, solutions to the problem are given in terms of linear matrix inequalities which are independent of the singular perturbation ε. The proposed approach does not involve the separation of states into slow and fast ones and it can be applied to both standard and nonstandard nonlinear singularly perturbed systems.

UR - https://www.scopus.com/pages/publications/14344253460

M3 - Conference article

AN - SCOPUS:14344253460

SN - 0743-1546

VL - 2

SP - 1773

EP - 1777

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

M1 - WeA11.6

Y2 - 14 December 2004 through 17 December 2004

ER -

Robust H_∞ fuzzy filter design for uncertain nonlinear singularly perturbed systems with Markovian jumps: An LMI approach

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