有效传递函数在多变量耦合系统中的应用  

Application of Effective Transfer Function in Multivariable Coupling System

作　　者：李兴春[1] 李兴高[2] 

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

出　　处：《自动化仪表》2012年第7期5-8,共4页Process Automation Instrumentation

基　　金：国家自然科学基金资助项目(编号:50978017)

摘　　要：针对多变量系统具有多时滞、强铰链耦合的特点,提出了有效开环传递函数解耦策略。由于有效开环传递函数所描述的动力学行为的复杂性,首先采用模型降阶技术,将系统逼近一阶环节+延时(FOPDT)形式;然后运用IMC控制策略实现单位反馈控制。为得到传统PID控制器的典型表达形式,将IMC控制器进行麦克劳林级数展开,通过对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提高系统动态响应速度、减小稳态误差,实现了多变量耦合系统的理想控制。Aiming at the features of multiple variable systems, i. e. , large time lag and strong hinge coupling, the de-coupling strategy of effective open loop transfer function is proposed. Because of the complication of the dynamics behavior described by effective open loop transfer function, firstly the system is approached into first order plus dead time （ FOPDT ） mode by adopting model order reduction technology, then the unit feedback control is implemented by using IMC control scheme. In order to obtain typical expression of traditional PID controller, the IMC controller is expanded as Maclaurin series, through inter-comparing the coefficients of corresponding items, traditional PID controller is reached. The simulation analysis shows that this method enhances dynamic response speed of the system, and reduces static error and implements ideal control of muhivariable coupling system.

关 键 词：多变量时滞系统 PID控制器 控制回路 有效传递函数 耦合 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]