基于改进灰色预测模型的自适应PID控制算法  

Algorithm of Adaptive PID Control Based on Modified Grey Prediction Model

作　　者：刘威[1] 肖军[1] 翟春艳[1] 付秋峰[1] 

机构地区：[1]辽宁石油化工大学信息与控制工程学院,抚顺113001

出　　处：《科学技术与工程》2010年第2期501-504,共4页Science Technology and Engineering

基　　金：辽宁省教育厅科学研究计划(2004D031)资助

摘　　要：针对大滞后系统提出一种基于改进灰色预测模型的自适应PID控制,采用优化背景值和初始条件的改进GM(1,1)模型作为预测模型,用预测结果代替被控对象测量值,克服了大滞后系统控制效果不能及时反馈的不足,并将二次型性能指标引入到PID控制器的整定过程中,按照性能指标的负梯度方向修改加权系数,实现了自适应PID的最优控制。仿真结果证明,该方法对大滞后系统具有较好的适应性和鲁棒性。An algorithm of adaptive PID control based on modified grey prediction model was proposed to time delay system. A new GM（ 1,1 ） model of integrated optimizing its background value and original eondition was presented as the prediction model. Predictive value substituted measured value after combining adaptive PID controller with grey prediction controller,with the consequence of the control signal delay was mini-mized. The quadratic index is introduced in order to realize the optimal control of adaptive PID controller. It modifies weight coefficient by anti-gradient direction of the performance figures. Simulation results show adapta-bility and robustness.

关 键 词：灰色预测 自适应控制 PID控制 梯度优化 纯滞后 

分 类 号：TP273.21[自动化与计算机技术—检测技术与自动化装置]