Lorenz System Stabilization Using Fuzzy Controllers

The paper suggests a Takagi Sugeno (TS) fuzzy logic controller (FLC) designed to stabilize the Lorentz chaotic systems. The stability analysis of the fuzzy control system is performed using Barbashin-Krasovskii theorem. This paper proves that if the derivative of Lyapunov function is negative semi-d...

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Bibliographic Details
Published inInternational journal of computers, communications & control Vol. 2; no. 3; p. 279
Main Authors Radu-Emil Precup, Tomescu, Marius L, Preitl, Stefan
Format Journal Article
LanguageEnglish
Published Oradea Agora University of Oradea 01.09.2007
Subjects
Chaos theory
Control stability
Control systems
Control systems design
Fuzzy control
Fuzzy logic
Liapunov functions
Lorenz system
Stability analysis
Theorems
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Summary:The paper suggests a Takagi Sugeno (TS) fuzzy logic controller (FLC) designed to stabilize the Lorentz chaotic systems. The stability analysis of the fuzzy control system is performed using Barbashin-Krasovskii theorem. This paper proves that if the derivative of Lyapunov function is negative semi-definite for each fuzzy rule then the controlled Lorentz system is asymptotically stable in the sense of Lyapunov. The stability theorem suggested here offers sufficient conditions for the stability of the Lorenz system controlled by TS FLCs. An illustrative example describes the application of the new stability analysis method.
ISSN:1841-9836
1841-9844
DOI:10.15837/ijccc.2007.3.2360