基于改进的Oustaloup滤波器分数阶区间二型模糊控制器设计

Design of Fractional Order Interval Type-2 Fuzzy Controller Based on an Improved Oustaloup Filter

分数阶PID控制器由于具有2个额外可以调整的参数,在控制系统中得到了广泛应用。针对传统模糊逻辑系统的分数阶PID控制器不能处理系统不确定性的缺陷,提出了一种基于区间二型模糊逻辑系统的分数阶区间二型模糊控制器。常用的拟合分数阶算子的Oustaloup滤波器在拟合频段的端点处效果较差,故采用一种改进的Oustaloup滤波器来拟合分数阶算子。仿真实例表明,所提出的控制器具有较好的控制效果。

Fractional order PID controller is widely used in control system because of its two additional adjustable parameters.In according with the defect that the fractional order PID controller based on traditional fuzzy logic system can’t deal with the uncertainty of the system,a fractional order interval type-2 fuzzy controller based on interval type-2 fuzzy logic system is proposed.The oustaloup filter,which is usually used to fit fractional order operators,has poor performance at the end of the fitting frequency band,an improved oustaloup filter is adapted to fit fractional order operators.The simulation results show that the controller proposed in this paper has good control effect.