基于自适应伸缩因子的变论域模糊PID振动控制方法

针对传统变论域模糊PID控制算法(VUFP)伸缩因子无法自适应调整的问题，建立了基于自适应伸缩因子的变论域模糊PID振动控制方法，从而进一步提升振动控制效果。在传统VUFP算法的基础上，将系统误差及误差变化率作为输入，伸缩因子参数作为输出，提出了伸缩因子自适应调整函数；从非零性、对偶性、单调性、正规性、协调性入手，通过理论证明了所提自适应调整函数的合理性；基于VUFP算法，利用系统误差及误差变化率实现了自适应调整函数参数的实时自适应调整，从而避免了VUFP算法中伸缩因子缺乏模糊规则导致控制效果降低的问题。3层框架理论模型和实验结构的振动控制结果表明:所提控制方法能实现函数型伸缩因子参数的自适应调整，针对框架结构加速度、速度及位移的控制效果均优于PID和VUFP控制算法，为建筑结构振动控制提供了一种新的控制算法。

VARIABLE UNIVERSE FUZZY PID CONTROL BASED ON ADAPTIVE CONTRACTING-EXPANDING FACTORS

Aiming at the problem that the expansion factor of the traditional variable universe fuzzy PID control algorithm (VUFP) cannot be adaptively adjusted, a variable universe fuzzy PID vibration control method based on the adaptive expansion factor is established to further improve the vibration control effect. On the basis of the traditional VUFP algorithm, the system error and error change rate are taken as inputs and the scaling factor parameters are taken as outputs, and an adaptive adjustment function of scaling factor is proposed. From the aspects of non-zero, duality, monotonicity, normality and coordination, the rationality of the proposed adaptive adjustment function is proved theoretically. Based on VUFP algorithm, the real-time adaptive adjustment of the parameters of the adjustment function is realized by using the system error and the error change rate, thus avoiding the problem that the control effect is reduced due to the lacking of fuzzy rules for the expansion factor in VUFP algorithm. The vibration control results of three-story frame model and experimental structure show that the proposed control method can realize the adaptive adjustment of functional expansion factor parameters, and the control effect for acceleration, velocity and displacement of frame structure is better than that of PID and VUFP control algorithms, so the proposed control method provides a new control algorithm for vibration control of building structures.