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Stability analysis of fuzzy large-scale systems.
Feng-Hsiag Hsiao1, Jing-Dong Hwang
1Dept. of Electr. Eng., Chang Gung Univ., Taoyuan Shian.
Summary
This study introduces a stability criterion for fuzzy large-scale systems using Takagi-Sugeno models. It ensures asymptotic stability for interconnected subsystems via Lyapunov
Area of Science:
- Control theory
- Systems engineering
- Fuzzy logic systems
Background:
- Fuzzy large-scale systems present complex stability challenges.
- Interconnected subsystems often utilize Takagi-Sugeno fuzzy models.
Purpose of the Study:
- To develop a stability criterion for fuzzy large-scale systems.
- To guarantee the asymptotic stability of these complex systems.
Main Methods:
- Application of Lyapunov's direct method.
- Analysis of interconnected subsystems modeled by Takagi-Sugeno fuzzy logic.
Main Results:
- A novel stability criterion is proposed.
- The criterion ensures asymptotic stability for the fuzzy large-scale systems.
Conclusions:
- The proposed method effectively addresses the stability problem.
- Demonstrated through a practical example.
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