TY - GEN
T1 - Stability analysis and synthesis of Markovian jump nonlinear systems with incomplete transition descriptions via fuzzy control
AU - Song, Min Kook
AU - Park, Jin Bae
AU - Joo, Young Hoon
PY - 2011
Y1 - 2011
N2 - This paper is concerned with exploring an extended approach for the stability analysis and synthesis for Markovian jump nonlinear systems (MJNLSs) with incomplete transition descriptions via fuzzy control. In this paper, not all the elements of the rate transition matrices (RTMs) are assumed to be known. By fully considering the properties of the RTMs and the convexity of the uncertain domains, sufficient criteria of stability and stabilization are obtained. The proposed stability conditions are much less conservative than most of the existing results and stabilization conditions with a mode-dependent fuzzy controller are derived for Markovian jump fuzzy systems (MJFSs) in terms of linear matrix inequalities (LMIs). Finally, illustrative numerical examples are provided to demonstrate the effectiveness of the proposed approach.
AB - This paper is concerned with exploring an extended approach for the stability analysis and synthesis for Markovian jump nonlinear systems (MJNLSs) with incomplete transition descriptions via fuzzy control. In this paper, not all the elements of the rate transition matrices (RTMs) are assumed to be known. By fully considering the properties of the RTMs and the convexity of the uncertain domains, sufficient criteria of stability and stabilization are obtained. The proposed stability conditions are much less conservative than most of the existing results and stabilization conditions with a mode-dependent fuzzy controller are derived for Markovian jump fuzzy systems (MJFSs) in terms of linear matrix inequalities (LMIs). Finally, illustrative numerical examples are provided to demonstrate the effectiveness of the proposed approach.
UR - http://www.scopus.com/inward/record.url?scp=80053063963&partnerID=8YFLogxK
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U2 - 10.1109/FUZZY.2011.6007532
DO - 10.1109/FUZZY.2011.6007532
M3 - Conference contribution
AN - SCOPUS:80053063963
SN - 9781424473175
T3 - IEEE International Conference on Fuzzy Systems
SP - 1007
EP - 1012
BT - FUZZ 2011 - 2011 IEEE International Conference on Fuzzy Systems - Proceedings
T2 - 2011 IEEE International Conference on Fuzzy Systems, FUZZ 2011
Y2 - 27 June 2011 through 30 June 2011
ER -