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Authors: Wudhichai Assawinchaichote 1 and Sing Kiong Nguang 2

Affiliations: 1 King Mongkut’s University of Technology Thonburi, Thailand ; 2 The University of Auckland, New Zealand

Keyword(s): TS Fuzzy model, H∞ control, Markovian jumps, LMI.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Computational Intelligence ; Fuzzy Control ; Fuzzy Systems ; Informatics in Control, Automation and Robotics ; Intelligent Control Systems and Optimization ; Soft Computing

Abstract: This paper examines the problem of designing a robust H∞ state-feedback controller for a class of uncertain nonlinear descriptor Markovian jump systems described by a Takagi-Sugeno (TS) fuzzy model with Markovian jumps. Based on a linear matrix inequality (LMI) approach, LMI-based sufficient conditions for the uncertain nonlinear descriptor Markovian jump systems to have an H∞ performance are derived. The proposed approach does not involve the separation of states into slow and fast ones and it can be applied not only to standard, but also to nonstandard nonlinear descriptor systems. A numerical example is provided to illustrate the design developed in this paper.

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Paper citation in several formats:
Assawinchaichote, W. and Kiong Nguang, S. (2005). ROBUST FUZZY CONTROLLER DESIGN FOR UNCERTAIN DESCRIPTOR MARKOVIAN JUMP SYSTEMS. In Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 4: ICINCO; ISBN 972-8865-29-5; ISSN 2184-2809, SciTePress, pages 91-97. DOI: 10.5220/0001156800910097

@conference{icinco05,
author={Wudhichai Assawinchaichote. and Sing {Kiong Nguang}.},
title={ROBUST FUZZY CONTROLLER DESIGN FOR UNCERTAIN DESCRIPTOR MARKOVIAN JUMP SYSTEMS},
booktitle={Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 4: ICINCO},
year={2005},
pages={91-97},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001156800910097},
isbn={972-8865-29-5},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 4: ICINCO
TI - ROBUST FUZZY CONTROLLER DESIGN FOR UNCERTAIN DESCRIPTOR MARKOVIAN JUMP SYSTEMS
SN - 972-8865-29-5
IS - 2184-2809
AU - Assawinchaichote, W.
AU - Kiong Nguang, S.
PY - 2005
SP - 91
EP - 97
DO - 10.5220/0001156800910097
PB - SciTePress