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Centralized PI controller design method for MIMO processes based on frequency response approximation
ISA Transactions ( IF 6.3 ) Pub Date : 2020-10-21 , DOI: 10.1016/j.isatra.2020.10.041
Sreya Ghosh , Somnath Pan

A simple method of controller design for multi-input multi-output (MIMO) processes have been proposed in frequency domain. The intensive calculation for the inverse of the process transfer function matrix is simplified to a great extent by evaluating the process transfer function matrix at a low frequency point. The desired closed loop transfer functions are derived for the process using a single tuning parameter for each diagonal element of the process transfer function matrix which represents the desired closed loop time constant. Centralized PI controllers are then designed using a model matching technique by evaluating the transfer functions at a low frequency point. The PI controllers provide acceptable performances for lag dominated as well as time-delay dominated processes and is also applicable to high-dimensional processes. The proposed method is extended for the non-square MIMO processes using two approaches one of which squares up the process transfer function matrix to apply the proposed technique while the other is based on pseudo-inverse evaluation of the process transfer function matrix at a low frequency point.



中文翻译:

基于频率响应近似的MIMO过程集中式PI控制器设计方法

已经在频域中提出了一种用于多输入多输出(MIMO)过程的控制器设计的简单方法。通过在低频点评估过程传递函数矩阵,可以极大地简化过程传递函数矩阵逆的密集计算。对于过程传递函数矩阵的每个对角线元素,使用单个调整参数来表示过程所需的闭环传递函数,该参数表示期望的闭环时间常数。然后,通过评估低频点的传递函数,使用模型匹配技术来设计集中式PI控制器。PI控制器为滞后控制和时滞控制的过程提供可接受的性能,并且还适用于高维过程。

更新日期:2020-10-21
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