基于新的误差积分准则的PID控制器优化  

Optimization of the PID Controllers Based on Integral Performance Criteria

作　　者：曾振平[1] 陈增强[1] 袁著祉[1] 

机构地区：[1]南开大学信息技术科学学院,天津300071

出　　处：《控制工程》2004年第1期52-54,共3页Control Engineering of China

基　　金：国家自然科学基金资助项目(60174021);国家科技攻关计划资助项目(2001BA204B01-02)

摘　　要：用PID控制器控制有共轭极点和负实零点的二阶模型对象,当对象时滞比很小时,用现有准则如ITAE进行优化,很难保证幅值稳定裕度。在广义平方误差积分准则(GISE)的基础上,用对象响应特征时间来平衡准则中误差项与误差变化率项的数量级,并用一个恒大于1的时间函数作为误差项的权,从而提出了一种新的误差积分准则—改进的广义平方误差积分准则(RGISE)。仿真结果表明,新准则能够获得较大的幅值稳定裕度和较好的响应曲线。In PID control system, when the plant model is second order with negative zero and the delay is very small, ITAE and GISE can not guarantee that the gain margin of the optimized system is large enough for engineering practice. To solve this problem, a new performance criteria called refined generalized integral of square error (RGISE) is proposed. It is based on GISE using a plant eigen time to balance error item and error changing rate item and a time function starting with 1 as the arbitrator of error item. Simulation shows that RGISE can guarantee a considerable large gain margin with acceptable dynamic response curve.

关 键 词：误差积分准则 PID控制器 优化 PID控制 参数整定 数学模型 

分 类 号：TP273.2[自动化与计算机技术—检测技术与自动化装置]