Department of Chemical Engineering, Indian Institute of Technology, Madras, Chennai-600036, India.
ISA Trans. 2012 May;51(3):400-9. doi: 10.1016/j.isatra.2012.02.001. Epub 2012 Mar 8.
In this article, two methods of designing a centralized control system for multi-input, multi-output (MIMO) processes are presented. Centralized proportional-integral (PI) controllers are designed based on a direct synthesis method. The inverse of the process transfer function matrix in the direct synthesis method is approximated based on the relative gain array concept. The method is further improved by using a relative normalized gain array, and an equivalent transfer function for each element in the process transfer function matrix is derived for the closed-loop control system. The transpose of the effective transfer function is used to approximate the inverse of the process transfer function matrix. The simulation studies demonstrate the effectiveness of this method. The proposed centralized controllers reduce the interactions better than recently reported decentralized controllers do. A centralized controller designed based on a relative normalized gain array (RNGA) gives a better performance than a centralized controller designed based on a relative gain array (RGA).
本文提出了两种设计多输入多输出（MIMO）过程集中控制系统的方法。基于直接综合法设计集中比例积分（PI）控制器。直接综合法中的过程传递函数矩阵的逆基于相对增益数组的概念进行近似。通过使用相对归一化增益数组对该方法进行了进一步改进，并为闭环控制系统推导出了过程传递函数矩阵中每个元素的等效传递函数。有效传递函数的转置用于近似过程传递函数矩阵的逆。仿真研究证明了该方法的有效性。所提出的集中控制器比最近报道的分散控制器更好地减少了相互作用。基于相对归一化增益数组（RNGA）设计的集中控制器比基于相对增益数组（RGA）设计的集中控制器具有更好的性能。
