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Stability analysis of the simplest Takagi-Sugeno fuzzy control system using circle criterion |
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| Authors: | Xiaojun Ban X.Z. Gao |
| Affiliation: | a Department of Control Theory and Engineering, Harbin Institute of Technology, Harbin, PR China b Institute of Intelligent Power Electronics, Helsinki University of Technology, Espoo, Finland c University of Thessaly, Volos, Greece |
| Abstract: | In this paper, we present two sufficient conditions in the frequency domain for the global stability analysis of the simplest Takagi-Sugeno (T-S) fuzzy control system, based on the circle criterion and its graphical interpretation. These conditions are significant in graphically designing the simplest T-S fuzzy controller in the frequency domain. Four numerical examples are provided to demonstrate the efficiency of our two frequency domain-based conditions. Furthermore, this T-S fuzzy controller and the linear proportional controllers are also compared. It is concluded that the simplest T-S fuzzy controller can outperform the linear proportional controllers in a noisy environment with external disturbances. |
| Keywords: | Takagi-Sugeno fuzzy controller Circle criterion Stability analysis Proportional controller Frequency response methods |
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