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 language | English |
|---|---|
| Pages (from-to) | 81-96 |
| Number of pages | 16 |
| Journal | Fuzzy Sets and Systems |
| Volume | 277 |
| DOIs | |
| Publication status | Published - 2015 Oct 15 |
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All Science Journal Classification (ASJC) codes
- Logic
- Artificial Intelligence
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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 journal › Article
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 -