Abstract
A type of Takagi-Sugeno (T-S) Proportional-Integral (PI) fuzzy controllers is studied. The T-S PI fuzzy controller is formed by a T-S Proportional-Derivative (PD) fuzzy controller connected with an integrator. In this particular structure, the T-S PD fuzzy controller is a weighted sum of some linear PD sub-controllers. The mathematical properties of our T-S PI fuzzy controller are also investigated. Based on these properties, the global asymptotic stability of the fuzzy control systems, in which the T-S PI fuzzy controllers are employed, are analyzed by using the well-known circle criterion. A sufficient condition with an elegant graphical interpretation in the frequency domain is further derived to guarantee the global asymptotic stability of the above fuzzy control systems. Finally, two numerical examples are provided to demonstrate how to deploy this method in analyzing the T-S PI fuzzy control systems in the frequency domain with the aid of some simple graphs.
| Original language | English |
|---|---|
| Pages (from-to) | 196-207 |
| Number of pages | 12 |
| Journal | International Journal of Computational Intelligence Systems |
| Volume | 4 |
| Issue number | 2 |
| DOIs | |
| State | Published - Apr 2011 |
Keywords
- Circle criterion
- Frequency response methods
- Fuzzy control systems
- Stability analysis
- Takagi-Sugeno (T-S) PI fuzzy controllers
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