压电智能结构振动的一致性PID(CPID)控制  

A consensus PID(CPID) control algorithm for vibration control of piezoelectric smart structures

作　　者：白亮 冯蕴雯[1] 薛小锋[1] 

机构地区：[1]西北工业大学航空学院,西安710072

出　　处：《振动与冲击》2017年第22期192-198,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金资助(10577015)

摘　　要：将一致性控制方法和PID控制方法的基本思想相结合,提出了一种适用于压电智能结构振动控制的一致性PID(Consensus-PID,CPID)控制方法。该方法将系统输出偏差作为PID控制器的输入,PID控制器的输出及其在采样周期内的变化量作为一致性控制器的输入,致动器的输入电压为一致性控制器的输出。推导压电智能结构振动控制方程,以两边简支的压电智能梁为数值算例,建立动力学有限元模型,数值结果表明CPID控制方法能够有效控制压电智能结构的振动,当某些传感器失效时,对比集中式PID控制,系统在CPID控制下仍然能保持较好的控制效果。By combining the idea of PID control and the consensus control algorithm,a new consensus-PID（ CPID） control algorithm was proposed,which was used for vibration control of piezoelectric smart structures. In this new approach,the inputs of PID controllers were the system output errors. The outputs of PID controllers and their variations in the sampling period were treated as the inputs of the consensus controller. The input voltages of each actuator were the outputs of the consensus controller. The vibration control equations of piezoelectric smart structures were derived from the finite element dynamic equations of a linear elastic piezoelectric smart structure. The CPID control algorithm was numerically investigated for the smart structure,i. e.,a piezoelectric smart beam that was simply supported at its both sides. The finite element model of a piezoelectric smart beam for vibration control was established by ANSYS. Numerical results demonstrate that the CPID control law can successfully control the vibration of the piezoelectric smart structure.Comparing with the centralized PID control algorithm,the new CPID control approach can maintain higher performance for vibration control in the system of piezoelectric smart structures,even though some sensors fail.

关 键 词：一致性控制 PID控制 压电智能结构 振动控制 

分 类 号：TB535[理学—物理]