区间时滞系统的PID控制器设计

摘要

Based on Hermite-Biehler theorem,Kharitonov theorem and the knowledge of control theory,3 theorems are pro-posed in this paper,by which can obtain al of the stabilizing PID control ers for the interval plants with time delay,and it is proved that the theorems is correct.The method proposed by the theorem 3 reduces the amount of computation,and is con-venient to promote to practical application.%针对区间时滞系统，基于Hermite－Biehler定理，Kharitonov定理及控制理论相关知识，提出3个定理，通过这些定理可获得使区间时滞系统稳定的所有PID控制器参数，并对定理进行了证明。定理3提出的方法减小了计算量，便于推广到实际应用。