Robust H ∞ fuzzy control design for nonlinear two-time scale system with Markovian jumps based on LMI approach

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Publication Details

Author list: Assawinchaichote W., Nguang S.K.

Publisher: World Academy of Science, Engineering and Technology (WASET)

Publication year: 2009

Journal: Proceedings of the World Academy of Science, Engineering and Technology (2010-376X)

Volume number: 40

Start page: 612

End page: 617

Number of pages: 6

ISSN: 2010-376X

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-78651552666&partnerID=40&md5=9623921ca9c171641bfd00c251807733

Languages: English-Great Britain (EN-GB)

Abstract

This paper examines the problem of designing a robust H ∞ state-feedback controller for a class of nonlinear two-time scale systems with Markovian Jumps described by a Takagi-Sugeno (TS) fuzzy model. Based on a linear matrix inequality (LMI) approach, LMI-based sufficient conditions for the uncertain Markovian jump nonlinear two-time scale 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 two-time scale systems. A numerical example is provided to illustrate the design developed in this paper.

Keywords

LMI, Markovian jumps, TS fuzzy, Two-time scale systems