基于参数空间图解法的多目标满意PID控制器  

Multi-objective satisfactory PID controller via a graphical approach in the parameter space

作　　者：李银伢[1] 盛安冬[1] 王远钢[1] 

机构地区：[1]南京理工大学自动化学院,江苏南京210094

出　　处：《系统工程与电子技术》2007年第1期134-138,共5页Systems Engineering and Electronics

基　　金：国家自然科学基金资助课题(60174028)

摘　　要：针对任意阶线性定常系统具有区域极点指标与H∞指标约束的PID控制问题,提出了一种基于参数空间图解法的多目标满意PID控制器设计方法。该设计方法首先基于边界穿越定理,在PID控制器参数空间推导出描述满足区域极点指标和H∞指标的控制器参数解集边界的解析表达式,再应用满意控制思想,对上述二类指标的相容性进行了分析,给出了相容指标较好的取值范围,以及当期望指标相容时基于参数空间图解法的PID控制策略集的具体求解方法。用一个算例说明了该方法的可行性和有效性。In view of the problem of PID control with constraints on regional pole index and H∞ index tor arbitrary order linear time-invariant systems, a design method of multi-objective PID controller based on a graphical approach in the parametric space is proposed. First, the analytical expressions of describing the boundaries of regional pole index and H∞ index in the PID controller parameter space is derived, respectively. Then using the idea of satisfactory control, the consistency of the above indices is analyzed and a good range of consistent indices is presented. The method of calculating the solution set of PID controller when the indices are consistent is also proposed. A numerical example shows the validity and feasibility of the proposed method.

关 键 词：PID控制 满意控制 图解法 H∞指标 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]