A growing body of evidence has suggested that fractional-order models are able to describe dynamic processes with higher accuracy, such that thermal conduction processes are found to be depicted with time-delay with single-fractional-pole (TDSFP) models. Actuator rate limit phenomenon is extremely common in manufacturing due to either physical limitation or production safety guarantee. The popular step test signal in system identification has infinity derivative at step time which is not affordable by physics actuators. Thus numbers of industrial processes considered as traditional integer-order systems ignoring actuator rate limit have model mismatch to a greater or lesser extent. In this study, an identification method is proposed for TDSFP processes considering rate limit effects. Parameter sensitivity analyses are carried out to interpret the importance degree of each model parameter as well as the actuator rate limit value. Finally effectiveness of the proposed identification method considering the rate limit effect is validated on a hardware-in-the-loop real time temperature control system.

越来越多的证据表明，分数阶模型能够以更高的精度描述动态过程，因此发现热传导过程可以用单分数极 (TDSFP) 模型来描述时延。由于物理限制或生产安全保证，执行器限速现象在制造中极为常见。系统识别中流行的步进测试信号在步进时间具有无穷导数，这是物理执行器无法承受的。因此，许多被视为忽略执行器速率限制的传统整数阶系统的工业过程或多或少地存在模型不匹配。在这项研究中，提出了一种考虑速率限制效应的 TDSFP 过程识别方法。进行参数敏感性分析以解释每个模型参数的重要程度以及执行器速率限制值。最后，在硬件在环实时温度控制系统上验证了所提出的考虑速率限制效应的识别方法的有效性。