Robust stabilization for uncertain Markovian jump fuzzy systems based on free weighting matrix method

Min Kook Song, Jin Bae Park, Young Hoon Joo

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

This paper presents a new methodology of robust state feedback fuzzy controller based on free weighting matrix method for a class of uncertain Markovian jump nonlinear systems. The class of systems under consideration is represented by the T-S fuzzy model with partly known transition probability matrix. The free weighting matrix method is proposed to obtain a less conservative stochastic stability criterion of the uncertain Markovian jump fuzzy systems (MJFSs) in terms of linear matrix inequalities (LMIs). Furthermore, a sufficient condition for the mode-dependent state feedback fuzzy controller is derived for the MJFSs for all admissible parameter uncertainties. Finally, a simulation example is provided to illustrate the effectiveness of the proposed methodology.

Original languageEnglish
Pages (from-to)81-96
Number of pages16
JournalFuzzy Sets and Systems
Volume277
DOIs
Publication statusPublished - 2015 Oct 15

Fingerprint

Jump System
Robust Stabilization
Matrix Method
Fuzzy systems
Fuzzy Systems
Weighting
Stabilization
Fuzzy Controller
State feedback
State Feedback
T-S Fuzzy Model
Transition Probability Matrix
Controllers
Stochastic Stability
Methodology
Stability criteria
Parameter Uncertainty
Linear matrix inequalities
Stability Criteria
Matrix Inequality

All Science Journal Classification (ASJC) codes

  • Logic
  • Artificial Intelligence

Cite this

@article{983dfe279b0843ce9bebae609651dc5f,
title = "Robust stabilization for uncertain Markovian jump fuzzy systems based on free weighting matrix method",
abstract = "This paper presents a new methodology of robust state feedback fuzzy controller based on free weighting matrix method for a class of uncertain Markovian jump nonlinear systems. The class of systems under consideration is represented by the T-S fuzzy model with partly known transition probability matrix. The free weighting matrix method is proposed to obtain a less conservative stochastic stability criterion of the uncertain Markovian jump fuzzy systems (MJFSs) in terms of linear matrix inequalities (LMIs). Furthermore, a sufficient condition for the mode-dependent state feedback fuzzy controller is derived for the MJFSs for all admissible parameter uncertainties. Finally, a simulation example is provided to illustrate the effectiveness of the proposed methodology.",
author = "Song, {Min Kook} and Park, {Jin Bae} and Joo, {Young Hoon}",
year = "2015",
month = "10",
day = "15",
doi = "10.1016/j.fss.2015.02.004",
language = "English",
volume = "277",
pages = "81--96",
journal = "Fuzzy Sets and Systems",
issn = "0165-0114",
publisher = "Elsevier",

}

Robust stabilization for uncertain Markovian jump fuzzy systems based on free weighting matrix method. / Song, Min Kook; Park, Jin Bae; Joo, Young Hoon.

In: Fuzzy Sets and Systems, Vol. 277, 15.10.2015, p. 81-96.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Robust stabilization for uncertain Markovian jump fuzzy systems based on free weighting matrix method

AU - Song, Min Kook

AU - Park, Jin Bae

AU - Joo, Young Hoon

PY - 2015/10/15

Y1 - 2015/10/15

N2 - This paper presents a new methodology of robust state feedback fuzzy controller based on free weighting matrix method for a class of uncertain Markovian jump nonlinear systems. The class of systems under consideration is represented by the T-S fuzzy model with partly known transition probability matrix. The free weighting matrix method is proposed to obtain a less conservative stochastic stability criterion of the uncertain Markovian jump fuzzy systems (MJFSs) in terms of linear matrix inequalities (LMIs). Furthermore, a sufficient condition for the mode-dependent state feedback fuzzy controller is derived for the MJFSs for all admissible parameter uncertainties. Finally, a simulation example is provided to illustrate the effectiveness of the proposed methodology.

AB - This paper presents a new methodology of robust state feedback fuzzy controller based on free weighting matrix method for a class of uncertain Markovian jump nonlinear systems. The class of systems under consideration is represented by the T-S fuzzy model with partly known transition probability matrix. The free weighting matrix method is proposed to obtain a less conservative stochastic stability criterion of the uncertain Markovian jump fuzzy systems (MJFSs) in terms of linear matrix inequalities (LMIs). Furthermore, a sufficient condition for the mode-dependent state feedback fuzzy controller is derived for the MJFSs for all admissible parameter uncertainties. Finally, a simulation example is provided to illustrate the effectiveness of the proposed methodology.

UR - http://www.scopus.com/inward/record.url?scp=84938196370&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84938196370&partnerID=8YFLogxK

U2 - 10.1016/j.fss.2015.02.004

DO - 10.1016/j.fss.2015.02.004

M3 - Article

AN - SCOPUS:84938196370

VL - 277

SP - 81

EP - 96

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

SN - 0165-0114

ER -