Worst Case Relative Disturbance Gain Array for Uncertain Distillation System

Agustriyanto, Rudy and Zhang, Jie (2012) Worst Case Relative Disturbance Gain Array for Uncertain Distillation System. MAKARA JOURNAL OF TECHNOLOGY SERIES - Terkreditasi B (SK Dirjen Dikti No. 56/DIKTI/Kep/2012), 16 (2). pp. 135-141. ISSN 1693-6698

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Abstract

Constrained nonlinear optimization formulation for calculating the worst case lower and upper bounds of relative disturbance gain array (RDGA) for uncertain process models is presented. The proposed approach seeks the minimum and maximum values of the relative disturbance gains subject to the constraints that the process gains and disturbance gains are within their uncertainty ranges. RDGA ranges are useful for control structure determination and the related robustness as they provide information regarding the sensitivity to gain uncertainties. The proposed method is demonstrated by ternary distillation column case study. Closed loop simulation results support the analysis based on the proposed method. It is shown that for a particular degree of uncertainties, the range of process gain determinant should not include zero to ensure the successfulness of the calculation. For the distillation system being studied, the maximum allowable α is 0.339 to avoid the singularity of matrix K.

Item Type: Article
Subjects: Q Science > QA Mathematics
Q Science > QD Chemistry
T Technology > T Technology (General)
T Technology > TP Chemical technology
Divisions: Faculty of Engineering > Department of Chemical Engineering
Depositing User: Rudy Agustriyanto, M.Sc 199005
Date Deposited: 05 Apr 2013 02:55
Last Modified: 17 May 2019 02:27
URI: http://repository.ubaya.ac.id/id/eprint/3347

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