中文摘要：

针对一阶时滞（FOPDT）不稳定对象,提出了一种基于参数稳定空间的多目标遗传算法进行PID控制器的优化设计。该算法首先采用两级控制结构,以保证PID控制器参数稳定空间的存在性,然后,基于该稳定空间提出了一种多目标遗传算法,用来求解带约束的多目标PID控制器参数整定问题。数值例子和生物反应器仿真研究表明所提方法的有效性。

英文摘要：

A stabilizing space based multi-objective genetic algorithm（MOGA） was proposed to optimize PID controller parameters for the unstable first order plus time delay（FOPDT） plants.Two-controller structure was first adopted to guarantee that the stabilization spaces of PID controller parameters could be obtained by generalized Hermite-Biehler theorem for unstable FOPDT process.Based on the stabilizing space,a multi-objective genetic algorithm was put forward to solve the constrained multi-objective optimization problem for PID controller parameters tuning.Several numerical examples and simulation of unstable bioreactor were performed to verify the efficiency of the proposed method.