1. A novel-designed fuzzy logic control structure for control of distinct chaotic systems
- Author
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Chin-Sheng Chen, Lap Mou Tam, Hsien-Keng Chen, and Shih-Yu Li
- Subjects
Lyapunov stability ,Lyapunov function ,Flexibility (engineering) ,0209 industrial biotechnology ,Computer science ,Complex system ,Computational intelligence ,02 engineering and technology ,Fuzzy logic ,Nonlinear system ,symbols.namesake ,020901 industrial engineering & automation ,Artificial Intelligence ,Control theory ,Control system ,0202 electrical engineering, electronic engineering, information engineering ,symbols ,020201 artificial intelligence & image processing ,Computer Vision and Pattern Recognition ,Software - Abstract
In this paper, a Lyapunov-based fuzzy logic control (FLC) system is developed for controlling of complicated as well as distinct nonlinear systems. According to Lyapunov Stability Theory, a candidate Lyapunov function with simple quadratic form is designed. Via constructing the fuzzy IF–THEN rules through referencing the statuses of errors states and error derivatives in each sub-space of the Lyapunov function derivatives, the proposed structure of FLC system is able to appropriately as well as flexibly adjust the control forces with minimum magnitude compensating the nonlinear systems in real-time. In addition, the designed FLC system can be applied to different kinds of control systems without further information and operation experience. Two nonlinear systems with distinct structures, classical Lorentz system and Mathieu-van der Pol system, are illustrated for simulation examples. In comparison of the previous research work, the simulation results reveal the effectiveness, flexibility and convenient-design of the proposed method.
- Published
- 2020
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