The paper deals with the problem of non-fragile observer-based passive control for a class of Markovian jumping systems (MJSs) subjected to uncertainties, nonlinearities and time-delays. Based on the Takagi sugeno fuzzy models, the dynamics of mode-dependent non-fragile state observer and feedback controller system and the combined closed-loop fuzzy dynamic MJSs are constructed. A sufficient condition for passivity and stochastic stability of the combined system is derived and proved by means of the Lyapunov-Krasovskii functional methods and linear matrix inequalities (LMIs) techniques. The non-fragile passive controller and observer parameters can be solved directly by using the existing LMIs optimization techniques. Finally, a numerical simulation is given to illustrate the performance of the proposed approach. (C) 2014 Elsevier B.V. All rights reserved.
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KPR Inst Engn & Technol, Dept Math, Coimbatore 641407, Tamil Nadu, IndiaKPR Inst Engn & Technol, Dept Math, Coimbatore 641407, Tamil Nadu, India
Aravindh, D.
Sakthivel, R.
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Bharathiar Univ, Dept Appl Math, Coimbatore 641046, Tamil Nadu, IndiaKPR Inst Engn & Technol, Dept Math, Coimbatore 641407, Tamil Nadu, India
Sakthivel, R.
Kaviarasan, B.
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Anna Univ, Dept Math, Reg Campus, Coimbatore 641046, Tamil Nadu, IndiaKPR Inst Engn & Technol, Dept Math, Coimbatore 641407, Tamil Nadu, India
Kaviarasan, B.
Anthoni, S. Marshal
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Anna Univ, Dept Math, Reg Campus, Coimbatore 641046, Tamil Nadu, IndiaKPR Inst Engn & Technol, Dept Math, Coimbatore 641407, Tamil Nadu, India
Anthoni, S. Marshal
Alzahrani, Faris
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King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi ArabiaKPR Inst Engn & Technol, Dept Math, Coimbatore 641407, Tamil Nadu, India
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Deemed Univ, Gandhigram Rural Inst, Dept Math, Gandhigram 624302, Tamil Nadu, India
Univ Malaya, Fac Comp Sci & Informat Technol, Ctr Image & Signal Proc, Kuala Lumpur 50603, MalaysiaDeemed Univ, Gandhigram Rural Inst, Dept Math, Gandhigram 624302, Tamil Nadu, India
Vembarasan, V.
Balasubramaniam, P.
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Deemed Univ, Gandhigram Rural Inst, Dept Math, Gandhigram 624302, Tamil Nadu, IndiaDeemed Univ, Gandhigram Rural Inst, Dept Math, Gandhigram 624302, Tamil Nadu, India
Balasubramaniam, P.
Chan, Chee Seng
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Univ Malaya, Fac Comp Sci & Informat Technol, Ctr Image & Signal Proc, Kuala Lumpur 50603, MalaysiaDeemed Univ, Gandhigram Rural Inst, Dept Math, Gandhigram 624302, Tamil Nadu, India