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
N1 - Publisher Copyright:
© 2015 Elsevier B.V. All rights reserved.
Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
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.
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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 -