A Reconstruction Procedure Associated with Switching Lyapunov Function for Relaxing Stability Assurance of T-S Fuzzy Mode
Autor: | Chung Lin Yan, Yau Tarng Juang, Chih Peng Huang |
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Jazyk: | angličtina |
Rok vydání: | 2015 |
Předmět: |
Lyapunov function
Mathematical optimization State variable Article Subject General Mathematics lcsh:Mathematics General Engineering Mode (statistics) Stability (learning theory) Linear matrix inequality lcsh:QA1-939 Fuzzy logic symbols.namesake Control theory lcsh:TA1-2040 Bounded function symbols lcsh:Engineering (General). Civil engineering (General) Reconstruction procedure Mathematics |
Zdroj: | Mathematical Problems in Engineering, Vol 2015 (2015) |
ISSN: | 1563-5147 |
Popis: | This paper proposes a novel reconstruction procedure to lessen the conservatism of stability assurance of T-S Fuzzy Mode. By dividing the state variables into some bounded regions, the considered T-S fuzzy model can be first transferred to an alternative form via a reconstructing procedure. Thus, we can attain some relaxing stability criteria based on the switching quadratic Lyapunov function (SQLF) method. Notably, these proposed conditions are explicitly formulated by linear matrix inequality (LMI) form and can handily be evaluated by current software tools. Finally some illustrative examples are given to experimentally demonstrate the validity and merit of the proposed method. |
Databáze: | OpenAIRE |
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