针对基于DCS的预测PID的控制系统,利用Kharitonov定理和边缘理论分析其在参数不确定情况下输入、输出的鲁棒稳定性。具体就SOPDT(二阶加纯滞后)对象给出了系统保持稳定的最大过程参数区间,并对非最小相位系统进行了简单分析。理论分析和仿真结果表明,当过程参数偏离标称值时,该算法能使系统保持很好的鲁棒稳定性。
Aiming at the predictive PID control system based on DCS ( distributed control system ) , by using Kharitonov theorem and edge theory, the robust stability of input and output when the parameters are in uncertainty is analyzed. The largest ranges of process parameters to ensure stability of system are given specifically to SOPDT (second order plus dead time) target, and the non-minimum phase system has been analyzed briefly. The theoretic analysis and simulation results demonstrate that this control algorithm still offers better robustness of system when the process parameters are far away from the nominal values.