论文标题
随时间延迟的一阶过程的最佳控制器调整技术
Optimal Controller Tuning Technique for a First-Order Process with Time Delay
论文作者
论文摘要
我们提出了一阶加时延迟(FOPTD)过程的控制器调整策略,其中使用Padé函数近似模型中的时间延迟。使用Routh-Hurwitz稳定性分析,我们得出了产生理想的PID控制器设置的增益。所得的PID控制器现已正确调整,可产生令人满意的闭环行为并稳定一阶工厂。我们提出的技术消除了模型中的死时间组件,并在左半$ S $平面中带有所有杆和零的最小相系统。为了证明我们的方法的有效性,我们从技术与其他基于模型的基于模型的策略之间进行了深入的性能比较,提出了控制模拟结果。这些结果证明,对于FOPTD模型,Padé近似消除了时间延迟的不良影响,并承诺跟踪性能比传统的基于模型的控制器优越。
We present a controller tuning strategy for first-order plus time delay (FOPTD) processes, where the time delay in the model is approximated using the Padé function. Using Routh-Hurwitz stability analysis, we derive the gain that gives rise to desirable PID controller settings. The resulting PID controller, now correctly tuned, produces satisfactory closed-loop behavior and stabilizes the first-order plant. Our proposed technique eliminates the dead-time component in the model and results in a minimum-phase system with all of its poles and zeros in the left-half $s$-plane. To demonstrate the effectiveness of our approach, we present control simulation results from an in-depth performance comparison between our technique and other established model-based strategies used for the control of time-delayed systems. These results prove that, for the FOPTD model, Padé approximation eliminates the undesirable effects of the time delay and promises a faster tracking performance superior to conventional model-based controllers.