Stability analysis and synthesis of Markovian jump nonlinear systems with incomplete transition descriptions via fuzzy control

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 k...

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Bibliographic Details
Main Authors: Min Kook Song, Jin Bae Park, Young Hoon Joo
Format: Conference Proceeding
Language:English
Subjects:
Fuzzy control
Linear matrix inequalities
linear matrix inequality
Markov processes
Markovian fuzzy systems
Mathematical model
Nonlinear systems
partially known transition matrix
Stability criteria
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Summary: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.
ISSN:1098-7584
DOI:10.1109/FUZZY.2011.6007532