多变量多时滞系统的前馈补偿解耦及IMC-PID控制  

Multivariable System with Multi-Delays Decoupling based-on Feed-forward Compensation and IMC-PID Control

作　　者：李兴春[1] 刘智勇[2] 李兴高[3] 

机构地区：[1]五邑大学信息工程学院,广东江门529020 [2]江门职业技术学院,广东江门529090 [3]北京交通大学土建学院,北京100044

出　　处：《计算机测量与控制》2012年第4期982-986,共5页Computer Measurement &Control

基　　金：国家自然科学基金项目(50978017)

摘　　要：多变量系统控制器设计中遇到的主要难题是多时滞和强铰链耦合问题;对于非奇异方阵系统,根据解耦理论通过串级前馈时滞补偿器将原系统解耦为多个单变量小时滞系统,运用模型降阶技术,将解耦后的复杂单变量小时滞系统逼近为FOPDT(一阶环节+延时)形式,采用IMC控制策略实现多个单变量系统单位反馈控制,运用了麦克劳林级数展开式,通过相应项系数的比对得到了传统PID控制器;仿真分析表明了该方法能够有效性地补偿系统时滞,同时现实解耦;解决了多变量多时滞系统控制器设计复杂性的难题,有一定的工程参考价值。The main problems encountered in multivariable system controllers design is multiple delays and strong coupling. For a nonsingular square system, the original system will be deconpled to many single variable system with little delays through cascade feed forward delay compensator, according to the decoupling theory. The complex decoupling single variable system will be approximated to FOPDT form by the model reduction technique. Multiple single variable system with unit feedback control will be realized by adopting IMC control strategy. The traditional PID controller comes into being by Maclaurin series expansion. The simulation analysis shows that the effectiveness of the proposed method. The system time delay is compensated and decoupling is realized. The complexity of controller design of multivariable system with multi--delay has been solved. This technique has certain reference to engineering design.

关 键 词：多变量多时滞 前馈补偿解耦 模型降阶 IMC—PID控制 麦克劳林级数 

分 类 号：TQ622.15[化学工程—精细化工]