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Novel Fuzzy Modeling and Synchronization of Chaotic Systems With Multinonlinear Terms by Advanced Ge-Li Fuzzy Model
IEEE Transactions on Cybernetics
|September 16, 2015
Summary
An advanced fuzzy model enhances nonlinear system analysis by overcoming previous limitations. This universal strategy simplifies modeling and achieves synchronization for complex, distinct dynamic systems.
Area of Science:
- Nonlinear Dynamics
- Control Theory
- Fuzzy Systems
Background:
- The Ge and Li fuzzy model (2011) offered a novel approach to modeling and synchronizing nonlinear systems.
- Limitations of the original model included restrictions on the number of nonlinear terms, limiting its applicability.
Purpose of the Study:
- To introduce a more comprehensive and efficient advanced-Ge-Li fuzzy model.
- To overcome the limitations of the previous model and enhance its effectiveness for complex nonlinear systems.
Main Methods:
- Development of a novel fuzzy model capable of handling complex nonlinear systems with numerous or complicated nonlinear terms.
- Utilization of only m x 2 fuzzy rules and two linear subsystems for simulating nonlinear behaviors, where m is the number of states.
- Design of a fuzzy synchronization scheme using two sets of control gains for systems with distinct structures.
Main Results:
- The advanced-Ge-Li fuzzy model demonstrates universal applicability to diverse nonlinear dynamic systems.
- Effective synchronization of two nonlinear dynamic systems with entirely different structures was achieved.
- The model's effectiveness and feasibility were validated using the Mathieu-Van der Pol system and Quantum-cellular neural networks with uncertainties.
Conclusions:
- The advanced-Ge-Li fuzzy model provides a universal and efficient strategy for modeling and synchronizing complex nonlinear systems.
- This novel approach significantly reduces the complexity of modeling and control design.
- The proposed method offers a robust solution for synchronizing disparate nonlinear systems, even in the presence of uncertainties.
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