确定性多变量非线性系统的在线修正参数预测滤波PID控制  

Prognosis-filtering PID control with on-line modifying parameter for a deterministic multivariable nonlinear system

作　　者：侯小秋[1] HOU Xiao-qiu(School of Electronics and Controlling Engineering, Heilongjiang University of Science and Technology, Harbin 150022, China)

机构地区：[1]黑龙江科技大学电气与控制工程学院,黑龙江哈尔滨150022

出　　处：《陕西理工学院学报（自然科学版）》2016年第5期28-34,42,共8页Journal of Shananxi University of Technology:Natural Science Edition

摘　　要：针对确定性多变量NARMAX模型,分析了其可采用PID控制的约束条件。提出一种增量型预测滤波解耦PID控制算法,基于递推参数估计算法对系统模型进行参数估计,采用逐步迭代预报算法进行预测,结合一种可克服算法病态的直接极小化指标函数的自适应控制算法和Robbins-Monro算法,给出了确定性多变量NARMAX模型的具有在线修正参数的预测滤波PID控制算法,因指标函数中含有输出的预测值,故算法具有加快PID控制参数收敛到有效值速度的性能。仿真研究表明,因为所提出的PID算法具有在线修正参数和预测控制的性能,故系统具有较好的控制品质。The constraint conditions being applicable to the deterministic multivariable NARMAX model were analyzed. Based on the increment-type predictive-filtering control algorithm,the parameter estimation of the system model was conducted by using the recursive parameter estimation algorithm,and the prognosis was conducted by using step-by step iterative predictor algorithm. Combining the self-tuning control algorithm of direct minimization index function with solving ill-controlled and the Robbins-Monro algorithm,a prognosis-filtering PID control algorithm with the characterizations of on-line modifying parameter was developed for the deterministic multivariable NARMAX model. The algorithm exhibits a character of speeding the convergence of PID control parameter due to the index function containing the predicting values of the outputs. The simulation results indicate that the system exhibits very good controlling characterization due to the developed PID control algorithm with the properties of predicting-controlling and on-line modifying parameter.

关 键 词：自适应控制 预测控制 PID控制 参数估计 迭代预测 确定性多变量NARMAX模型 

分 类 号：TP273.2[自动化与计算机技术—检测技术与自动化装置]