Steady State and Dynamic Interaction Analysis in Multivarible Control System

Renanto Handogo(1*), Gede Wibawa(2), Totong Rusmana(3), Moch. Arief Hidayat(4)

(1) Department of Chemical Engineering Sepuluh Nopember Institute of Technology (ITS) Surabaya, Jakarta, INDONESIA Phone: 62-31-5992114, Fax:62-31-5999282
(2) Department of Chemical Engineering, Sepuluh Nopember ITS
(3) Department of Chemical Engineeering Institute of Technology Adhi Tama Surabaya (ITATS)
(*) Corresponding Author


Relative gain array (RGA) and average dynamic gain array (ADGA) have been investigated as a measure for interaction of multi-input multi-output (MIMO) 2x2 system. Several examples have been chosen to represent MIMO with various time constants and dead time of first order plus dead time. The ratio of off-diagonal and on-diagonal element time constants of the transfer function processes (6) has shown more dominance to interaction than ratio of off-diagonal and on-diagonal element dead times of the transfer function processes (0,) . RGA, INA,and ADGAgive the same result for t'j 3 1 and INA and ADGA should be used for t'j 1 regardless the value of do


Steady state gain, dynamic interaction analysis and measurement, control pairing, relative gain array (RGA), inverse Nyquist array (INA), average dynamic gain array (ADGA), and multi-input multi-output (MIMO) process.

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  1. Bristol, E. H. (1996). "On a new measure of interaction for multivariable process
  2. control," IEEE Trans. Auto. Control, 11, 133.
  3. Gagnepain, J. E., and Seborg, D. E. (1982). "Analysis of interaction with applications to multiloop control system design." Ind. Eng. Chem. Process Des. Dev., 21, 5, 5-11.
  4. Gede, W. Rusmana, T., and Renanto, H. (1997). “Evaluation of four distillation control structures for two-point control scheme;" Reg. Sym. On Chem Eng. (RSCE '97), Johor, Malaysia.
  5. Jensen, N., Fisher, D. G., and Shah, S.L. (1986). "Interaction analysis in multivariable control system," AICHE Journal, 32, 6, 959,
  6. Luyben, W. L. (1990). Process modeling simulation and control for chemical engineers, 2nd ed., McGraw-Hill, Inc, New York.
  7. Luyben, W.L. (1986). "Simple method for tuning SISO controller in multivariabel system,” Ind. Eng. Eng. Process Des. Dev., 25, 625-60.
  8. Rosenbrock, H. H. (1969). "Design of multivariable control using the inverse Nyquist array," Proc. IEEE, 116, 11, 318 25.
  9. Rusmana, T. (1998). Analisis Interaksi Kondisi Tetap dan Dinamik dalam Sistem Pengendalian Multivariabel 2x2. MSc. Thesis, Sepuluh Nopember Institute of Technology, Surabaya, Malaysia.
  10. Tung, L. S., and Edgar, T. F. (1977). “Dynamic interaction index and its application to distillation column control," 16th IEEE Conf. Decision and Control, New Orleans, 1, 107.
  11. Witcher, M. F., and McAvoy, T. F. (1977). Interacting control system: Steady state and dynamic measurement of interaction," ISA Trans., 16, 3, 35.


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ASEAN Journal of Chemical Engineering  (print ISSN 1655-4418; online ISSN 2655-5409) is published by Chemical Engineering Department, Faculty of Engineering, Universitas Gadjah Mada.