基于样条插值的模糊控制算法

Fuzzy Control Algorithm based on Spline Interpolation

利用三次样条插值函数,直接由控制输入输出数据对建立了控制输入与控制输出之间的映射关系,得到了一元三次样条插值控制算法和二元双三次样条插值控制算法,并将二者分别用于单输入单输出系统和双输入单输出系统的仿真控制。仿真结果表明,上述方法是可行的,并且基于三次样条函数的模糊插值控制,具有响应快,无超调,稳态误差极小等很好的控制效果。其设计简单,不需要过多规则,对稀疏规则库条件下的控制器设计尤为适用。

In this paper, cubic spline interpolation and the one in two-dimensional are employed to fuzzy control systems. Based on the couples of input and output data in fuzzy rules, cubic spline interpolation functions between the control input and output are established. And fuzzy control algorithms based on them are proposed, which can be applied to SISO and MISO fuzzy control systems. Finally, simulations on the first order system and second order system show that the control performance has many advantages, such as rapid response, no overshoot, the negligible steady state error. The proposed methods especially adapt to the controller design with sparse rule base.