Analysis of Process Interactions in Dynamic System Using Frequency Dependent RGA

2011 ◽  
Vol 403-408 ◽  
pp. 895-899
Author(s):  
Amit Jain ◽  
B.V. Babu

A frequency dependent approach to defining a dynamic relative gain array (DRGA) is discussed. The approach assumes the availability of a dynamic transfer function based process model for control loop pairing analysis. Two examples are considered: one in which the traditional RGA (based on steady-state gain matrix) gives the correct pairing recommendation and the other in which the traditional RGA suggests wrong pairings particularly in the frequency range of interest. The calculations pertaining to analysis of control loop pairing is performed using MATLAB (version 7.0.1). An inaccurate indication of the amount of interaction present is discussed. The first example uses 2x2 transfer function model [1] and the second one uses 3x3 transfer function model [2].

2021 ◽  
Vol 2070 (1) ◽  
pp. 012114
Author(s):  
P K Juneja ◽  
S K Sunori ◽  
A Sharma ◽  
A Sharma ◽  
P Kumar ◽  
...  

Abstract In present analysis, response of a selected delayed first order process model is compared for various orders of approximation of dead time present in the transfer function model. Effect of different orders of approximation of dead time is analysed on the open loop step response of the system in terms of percentage change in original and dead time approximated system models. For this purpose, consistency parameter in a headbox of a paper machine is selected as a process model as it closely approximates to a first order delayed process model.


2019 ◽  
Vol 7 (3) ◽  
Author(s):  
Nur Laela Fitriani ◽  
Pika Silvianti ◽  
Rahma Anisa

Transfer function model with multiple input is a multivariate time series forecasting model that combines several characteristics of ARIMA models by utilizing some regression analysis properties. This model is used to determine the effect of output series towards input series so that the model can be used to analyze the factors that affect the Jakarta Islamic Index (JII). The USD exchange rate against rupiah and Dow Jones Index (DJI) were used as input series. The transfer function model was constructed through several stages: model identification stage, estimation of transfer function model, and model diagnostic test. Based on the transfer function model, the JII was influenced by JII at the period of one and two days before. JII was also affected by the USD exchange rate against rupiah at the same period and at one and two days before. In addition, the JII was influenced by DJI at the same period and also at period of one until five days ago. The Mean Absolute Prencentage Error (MAPE) value of forecasting result was 0.70% and the correlation between actual and forecast data was 0.77. This shows that the model was well performed for forecasting JII.


Economies ◽  
2021 ◽  
Vol 9 (1) ◽  
pp. 21
Author(s):  
Jazmín González Aguirre ◽  
Alberto Del Villar

This paper seeks to assess the effectiveness of customs policies in increasing the resources devoted to controlling and inspection. Specifically, it seeks to analyze whether an increase in the administrative cost of collecting taxes on foreign trade in Ecuador contributes to reducing customs fraud. To this end, we identify and estimate a transfer function model (ARIMAX), considering information on foreign trade such as official international trade statistics report and tariff rates, as well as the execution of budgetary expenditure and Ecuador’s gross domestic product (GDP). The period under study includes quarterly series from 2006 to 2018. The results obtained by the model indicate that allocating greater material and budgetary resources to combat customs fraud does not always achieve the objective of reducing customs evasion.


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