Stabilization of Rössler chaotic dynamical system using fuzzy logic control algorithm

Autor:	Marius-Lucian Tomescu, Claudia-Adina Dragos, Radu-Emil Precup
Rok vydání:	2014
Předmět:	Lyapunov function Direct method Stability (learning theory) Linear matrix inequality Fuzzy logic control Computer Science Applications Theoretical Computer Science Nonlinear Sciences::Chaotic Dynamics Set (abstract data type) symbols.namesake Stability conditions Control and Systems Engineering Control theory Modeling and Simulation symbols Inference engine Algorithm Information Systems Mathematics
Zdroj:	International Journal of General Systems. 43:413-433
ISSN:	1563-5104 0308-1079
DOI:	10.1080/03081079.2014.893299
Popis:	This paper proposes a fuzzy logic control algorithm (FLCA) to stabilize the Rossler chaotic dynamical system. The fuzzy logic control system is based on a Takagi-Sugeno-Kang inference engine and the stability analysis in the sense of Lyapunov is carried out using Lyapunov’s direct method. The new FLCA is formulated to offer sufficient inequality stability conditions. The asymptotic complexity of our algorithm is analyzed and proved to be lower in comparison with that of linear matrix inequality-based FLCAs. A set of simulation results illustrates the effectiveness of the proposed FLCA.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d5bd0f65e648ee50b3f2923764a88e08 https://doi.org/10.1080/03081079.2014.893299 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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