School of Chemical Engineering and Technology, Yeungnam University, Kyongsan, 712-749, South Korea.
ISA Trans. 2010 Jan;49(1):79-86. doi: 10.1016/j.isatra.2009.09.002. Epub 2009 Sep 23.
In this article, a new analytical method based on the direct synthesis approach is proposed for the design of a multi-loop proportional-integral (PI) controller. The proposed design method is aimed at achieving the desired closed-loop response for multiple-input, multiple-output (MIMO) processes with multiple time delays. The ideal multi-loop controller is firstly designed in terms of the relative gain and desired closed-loop transfer function. Then, the standard multi-loop PI controller is obtained by approximating the ideal multi-loop controller using the Maclaurin series expansion. The simulation study demonstrates the effectiveness of the proposed method for the design of multi-loop PI controllers. The multi-loop PI controller designed by the proposed method shows a fast, well-balanced, and robust response with the minimum integral absolute error (IAE).
本文提出了一种基于直接综合方法的新分析方法，用于设计多回路比例积分（PI）控制器。所提出的设计方法旨在为具有多个时滞的多输入多输出（MIMO）过程实现期望的闭环响应。首先，根据相对增益和期望的闭环传递函数设计理想的多回路控制器。然后，通过使用麦克劳林级数展开逼近理想的多回路控制器，得到标准的多回路 PI 控制器。仿真研究表明，该方法对于多回路 PI 控制器的设计是有效的。所提出的方法设计的多回路 PI 控制器具有快速、良好平衡和鲁棒的响应，具有最小的积分绝对误差（IAE）。
