一类时滞系统的PID控制器稳定参数集计算

The Calculation of all Stabilizing PID Controllers for Time-Delay Systems

针对工业控制过程中常见的时滞系统,给出了一种快速计算PI控制器所有稳定参数集的方法,推导了系统开环不稳定情形下稳定控制器存在的必要性条件.通过在该稳定参数区域上进行性能指标寻优,可以得到满足控制器设计性能指标要求的PI控制器参数区域.仿真实例表明了该方法的优越性.

Aiming at the familiar time-delay systems of industrial process control, a method for the fast calculation of all stable boundary locus of PI controllers and PID controllers. Moreover, the necessary conditions are proposed for the existence of a PI controller to simultaneously stabilize the time-delay systems that are open-loop unstable. Furthermore ,the set of PI controllers satisfied with the performance specifications requirements of a controller design is easily to work out via searching on the stabilizing region. An example is given to show the effectiveness of the method presented.