Title of article
New Approach to Exponential Stability Analysis and Stabilization for Delayed T-S Fuzzy Markovian Jump Systems
Author/Authors
Liu Cui، Liu Cui نويسنده School of Computer Science and Information Engineering, Shanghai In- stitute of Technology, No.100 Haiquan Road, Fengxian Distinct, 201418, Shanghai , China , , Yanchai Liu، Yanchai Liu نويسنده School of Aeronautics and Astronautics, Shanghai Jiao Tong Univer- sity, No.800 Dongchuan Road, Minhang Distinct, 200240, Shanghai, China , , Yueying Wang، Yueying Wang نويسنده School of Aeronautics and Astronautics, Shanghai Jiao Tong Uni- versity, No.800 Dongchuan Road, Minhang Distinct, 200240, Shanghai, China , , Dengping Duan، Dengping Duan نويسنده School of Aeronautics and Astronautics, Shanghai Jiao Tong Uni- versity, No.800 Dongchuan Road, Minhang Distinct, 200240, Shanghai, China ,
Issue Information
دوماهنامه با شماره پیاپی 0 سال 2016
Pages
19
From page
1
To page
19
Abstract
اين مقاله با تحليل پايداري نمايي وابسته تاخيري و پايدارسازي سيستمهاي پرشي ماركوي T-S فازي زمان – پيوسته با تاخير متغير زماني وابسته نما مرتبط است. با ساخت يك تابعيLyapunov-Krasovskii جديد و استفاده از برخي از تكنيكهاي پيشرفته ، شرايط بازدارنده كمتري ارايه گرديده تضمين كند كه سيستم حلقه – بسته ميانگين – مجذور بطور نمايي پايدار باشد. سپس شرايط پايدارسازي بدست آمده وكنترل كننده هاي فازي توسط مجموعه اي از جوابهاي LMI ها قابل حصول ميباشند. با بكار بردن الگوريتم بهينه كران بالاي تاخير – زماني را كه سيستم مي تواند پايدار شود داده شده است. دو مثال ارايه گرديده تا تاثير وپتانسيل روشهاي ما را نشان دهد.
Abstract
This paper is concerned with delay-dependent exponential stability analysis and stabilization for continuous-time T-S fuzzy Markovian jump systems with mode-dependent time-varying delay. By constructing a novel Lyapunov-Krasovskii functional and utilizing some advanced techniques, less conservative conditions are presented to guarantee the closed-loop system is mean-square exponentially stable. Then, the stabilization conditions are derived and the fuzzy controller can be obtained by solving a set solutions of LMIs. The upper bound of time-delay that the system can be stabilized is given by using an optimal algorithm. Two examples are presented to illustrate the effectiveness and potential of our methods.
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Serial Year
2016
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Record number
2394953
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