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Universal fuzzy models and universal fuzzy controllers for discrete-time nonlinear systems
IEEE Transactions on Cybernetics
|August 20, 2014
Summary
This study introduces a universal fuzzy model and controller for discrete-time nonaffine nonlinear systems (NNSs). The proposed generalized Takagi-Sugeno (T-S) fuzzy model and controller effectively stabilize NNSs, demonstrated with an inverted pendulum example.
Area of Science:
- Control Systems Engineering
- Fuzzy Logic Systems
- Nonlinear System Analysis
Background:
- Discrete-time nonaffine nonlinear systems (NNSs) present significant challenges in modeling and control.
- Existing universal fuzzy models and controllers have limitations for these complex system classes.
Purpose of the Study:
- To develop a universal fuzzy model for discrete-time NNSs.
- To design universal fuzzy controllers for discrete-time stabilizable NNSs.
- To provide constructive methods for model reference fuzzy controller design.
Main Methods:
- Utilized a generalized Takagi-Sugeno (T-S) fuzzy model approach.
- Developed constructive procedures for designing model reference fuzzy controllers.
- Employed simulation of an inverted pendulum system for validation.
Main Results:
- Established a generalized T-S fuzzy model as a universal fuzzy model for discrete-time NNSs under sufficient conditions.
- Presented effective universal fuzzy controller designs for two classes of discrete-time stabilizable NNSs.
- Demonstrated the practical applicability and advantages of the proposed methods through a simulation example.
Conclusions:
- The proposed generalized T-S fuzzy model and controller offer a robust solution for discrete-time nonaffine nonlinear systems.
- The constructive design procedures facilitate the implementation of model reference fuzzy control.
- These advancements significantly extend the applicability of fuzzy control for complex engineering problems.
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