Seer Qiu Han, Nandong Jobrun
Department of Chemical Engineering, Curtin University, 98009 Miri, Sarawak, Malaysia; Curtin Sarawak Research Institute, Curtin University, 98009 Miri, Sarawak, Malaysia.
Department of Chemical Engineering, Curtin University, 98009 Miri, Sarawak, Malaysia.
ISA Trans. 2017 Mar;67:233-245. doi: 10.1016/j.isatra.2017.01.017. Epub 2017 Feb 1.
Open-loop unstable systems with time-delays are often encountered in process industry, which are often more difficult to control than stable processes. In this paper, the stabilization by PID controller of second-order unstable processes, which can be represented as second-order deadtime with an unstable pole (SODUP) and second-order deadtime with two unstable poles (SODTUP), is performed via the necessary and sufficient criteria of Routh-Hurwitz stability analysis. The stability analysis provides improved understanding on the existence of a stabilizing range of each PID parameter. Three simple PID tuning algorithms are proposed to provide desired closed-loop performance-robustness within the stable regions of controller parameters obtained via the stability analysis. The proposed PID controllers show improved performance over those derived via some existing methods.
具有时滞的开环不稳定系统在过程工业中经常遇到，它们通常比稳定过程更难控制。本文通过劳斯-赫尔维茨稳定性分析的充要准则，对二阶不稳定过程进行PID控制器镇定，该二阶不稳定过程可表示为具有一个不稳定极点的二阶时滞（SODUP）和具有两个不稳定极点的二阶时滞（SODTUP）。稳定性分析有助于更好地理解每个PID参数稳定范围的存在情况。提出了三种简单的PID整定算法，以在通过稳定性分析获得的控制器参数稳定区域内提供所需的闭环性能-鲁棒性。所提出的PID控制器比通过一些现有方法得到的控制器具有更好的性能。
