Dynamic interaction analysis and pairing evaluation in control configuration design

doi:10.1016/j.cjche.2016.04.016

Abstract

Abstract: This paper presents some new dynamic interaction analysis approaches for square or non-square systems and a pairing evaluation method. For square stable systems, an open-loop approach is proposed, which features the tradeoff between the contributions of response time constant and delay time to relative gain. For non-square stable systems, an extension from the proposed open-loop approach for square systems is presented and the corresponding pairing procedure is given. No interaction analysis approach is perfect for all systems, so any recommended pairing needs to be examined. An evaluationmethod is proposed in closed-loop with optimal controllers for each loop and whether the pairing is appropriate can be evaluated through testing if the equivalent relative gain is within defined scope. The advantages and effectiveness of proposed interaction analysis approaches and pairing evaluation method are highlighted via several examples of industrial processes.

Key words: Control configuration, Interaction, Pairing evaluation, Non-square systems, PID

摘要： This paper presents some new dynamic interaction analysis approaches for square or non-square systems and a pairing evaluation method. For square stable systems, an open-loop approach is proposed, which features the tradeoff between the contributions of response time constant and delay time to relative gain. For non-square stable systems, an extension from the proposed open-loop approach for square systems is presented and the corresponding pairing procedure is given. No interaction analysis approach is perfect for all systems, so any recommended pairing needs to be examined. An evaluationmethod is proposed in closed-loop with optimal controllers for each loop and whether the pairing is appropriate can be evaluated through testing if the equivalent relative gain is within defined scope. The advantages and effectiveness of proposed interaction analysis approaches and pairing evaluation method are highlighted via several examples of industrial processes.

关键词: Control configuration, Interaction, Pairing evaluation, Non-square systems, PID

Xionglin Luo, Pengfei Cao, Feng Xu. Dynamic interaction analysis and pairing evaluation in control configuration design[J]. , 2016, 24(7): 861-868.

References

[1] E. Bristol, On a new measure of interaction for multivariable process control, IEEE Trans. Autom. Control 11(1) (1966) 133-134.
[2] A. Niederlinski, A heuristic approach to the design of linearmultivariable interacting control systems, Automatica 7(6) (1971) 691-701.
[3] P. Grosdldler, M. Morari, B.R. Holt, Closed-loop properties from steady state gain information, Ind. Eng. Chem. Fundam. 24(2) (1985) 221-235.
[4] M.F. Witcher, T.J. McAvoy, Interaction control systems:steady state and dynamic measurement of interaction, ISA Trans. 16(3) (1977) 35-41.
[5] J.P. Gagnepain, D.E. Seborg, Analysis of process interactions with application to multiloop control system design, Ind. Eng. Chem. Process. Des. Dev. 21(1) (1982) 5-11.
[6] F.M.Meeuse, A.E.M. Huesman, Analyzing dynamic interaction of control loops in the time domain, Ind. Eng. Chem. Res. 41(18) (2002) 4585-4590.
[7] T.McAvoy, Y. Arkun, R. Chen, D. Robinson, P.D. Schnelle, A newapproach to defining a dynamic relative gain, Control. Eng. Pract. 11(8) (2003) 907-914.
[8] Q. Xiong, W.J. Cai, M.J. He, A practical loop pairing criterion for multivariable processes, J. Process Control 15(7) (2005) 741-747.
[9] Q. Xiong, W.J. Cai, M.J. He, Decentralized control system design for multivariable processes-a novel method based on effective relative gain array, Ind. Eng. Chem. Res. 45(8) (2006) 2769-2776.
[10] Q. Xiong, W.J. Cai, Effective transfer function method for decentralized control system design for multi-input multi-output processes, J. Process Control 16(8) (2006) 773-784.
[11] Q. Xiong,W.J. Cai, M.J. He, Equivalent transfer function method for PI/PID controller design of MIMO processes, J. Process Control 17(8) (2007) 665-673.
[12] M.J. He, W.J. Cai,W. Ni, L.H. Xie, RNGA based control system configuration for multivariable processes, J. Process Control 19(6) (2009) 1036-1042.
[13] N. Monshizadeh-Naini, A. Fatehi, A.K. Sedigh, Input-output pairing using effective relative energy array, Ind. Eng. Chem. Res. 48(15) (2009) 7137-7144.
[14] M. Morari, G. Stephanopoulos, Studies in the synthesis of control structures for chemical processes:part Ⅲ:optimal selection of secondary measurements within the framework of state estimation in the presence of persistent unknown disturbances, AICHE J. 26(2) (1980) 247-260.
[15] S. Treiber, Multivariable control for non-square systems, Ind. Eng. Chem. Process. Des. Dev. 23(4) (1984) 854-857.
[16] M. Morari, W. Grimm, M.J. Oglesby, I.D. Prosser, Design of resilient processing plants-VⅡ. Design of energy management system for unstable reactors-new insights, Chem. Eng. Sci. 40(2) (1985) 187-198.
[17] J.W. Chang, C.C. Yu, The relative gain for non-square multivariable systems, Chem. Eng. Sci. 45(5) (1990) 1309-1323.
[18] D.E. Reeves, Y. Arkun, Interaction measure for nonsquare decentralized control structures, AICHE J. 35(4) (1989) 603-613.
[19] X.L. Luo, L.H. Ren, P.F. Cao, Y. Zhao, F. Xu, A closed-loop evaluation for regulatory control structure of multivariable system, Proceedings of the 10th World Congress on Intelligent Control and Automation, 2012.
[20] M.J. He,W.J. Cai, B.F.Wu, M. He, Simple decentralized PID controller design method based on dynamic relative interaction analysis, Ind. Eng. Chem. Res. 44(22) (2005) 8334-8344.