与分形相结合的模糊控制

Fuzzy Control Combined with Fractal

世界上普遍存在着分形(Fractal)规律.分形可以是形态、功能和信息方面的自相似性,而且相似性是有层次级别的.本文提出了量化因子和比例因子的分形因数F,把分形规律应用到模糊控制中去.用Matlab对其进行建模仿真,并和PID控制、传统模糊控制进行比较,结果表明加入分形因数F以后改善了控制精度.

Fractal law exists widely in the world.It is the law of self-similitude about figure,function and intelligence.The self-similitude has a hierarchical nature.In this paper,the fractal factor was proposed for quantification factor and proportion factor so that the fractal law can be applied in fuzzy control.The simulation result of fuzzy control with fractal is compared with that of PID control,fuzzy control and shows that it has a good effect on precision of control.