关于模糊PID控制器推理机维数的研究
Study of Dimensionality of Fuzzy Inference for Fuzzy PID Controllers
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摘要: 对一维(1D)至三维(3D)模糊PID控制器进行了系统的分析研究,提出了四项系 统功能特性指标来评价不同结构的控制器;这包括控制分量合成,耦合影响,增益相关和规则 增长.通过对最常见的二维Mamdani模糊控制器进行分析研究,发现该控制器存在功能缺 陷.为此,提出了最优结构的一维模糊PID控制器.该控制器采用了"1D-3D"映射关系的模糊 推理机,从而实现了三个控制分量可以独立不相关的调整功能.通过与二维和三维控制器比 较结果表明,一维控制器具有最佳系统功能特性.Abstract: A systematic study of one-, two- and three-input fuzzy inferences has been made for fuzzy PID qontrollers. We propose four criteria to evaluate the functional behaviors of the controllers, namely, control-action composition, coupling influence, gain dependency and rule growth. Based on a simple analysis, we conclude that the Mamdani's two-input fuzzy controller suffers from the difficulties according to the criteria. A novel one-input fuzzy controller is proposed which consists of a "ID-3D" fuzzy inference to generate three independent (proportional, integral and derivative)control actions. This system has shown the best inference structure with respect to the four functional criteria in comparison with two- and three-input fuzzy controllers.
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Key words:
- Fuzzy control /
- fuzzy PID controllers /
- dimensionality of fuzzy inference
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