中文摘要：

模糊控制是基于模糊数学思想和理论建立的控制方法,在控制领域特别适用于一些无法用精确模型进行数学建模的控制系统.但对于模糊控制系统,模糊控制器的运算复杂和由于规则太多引起的规则爆炸问题始终没有很好地解决.通过引入粒函数,简化了模糊控制系统和解决了规则爆炸问题,并且将粒函数方法应用于单容水箱模糊控制系统中进行仿真.实验结果显示,粒函数方法不仅可以简化模糊控制系统的复杂性和解决规则爆炸问题,并且证明在理论和实际中粒函数器完全可以等效模糊控制器.粒函数方法适用于众多模糊控制系统中,通过示例,可以举一反三,将粒函数方法复制到其他应用场合.

英文摘要：

Fuzzy control is a control method that is built by the fuzzy mathematics theory. In controlling field,it is especially suitable for some control system whose mathematical model can not be accurately built by exact math. But in fuzzy controlling field, the computational complexity of fuzzy controller and the rule explosion problems caused due to too many rules are not well resolved. This paper simplifies the fuzzy control system and resolves the problem of the rule explosion by introducing granular function. Furthermore,we carry out simulation of single-tank by using the method of granular function. Experimental results show that the method of granular function can not only simplify the fuzzy control,but also resolve the problem of the rule explosion. This experiment proves that granular function is completely equivalent to the fuzzy controller. The granular function method is suitable for many fuzzy control systems. Through experiment,we can infer other things from one fact,and apply this method in other fuzzy control systems.