Abstract
An analytic expression is derived for closed-loop output behavior under a multiloop PID control. Based on the analytic expression obtained, optimization problems are formulated to assess 1) best achievable quadratic performance using multiloop PID control, 2) best achievable quadratic performance on key process variables while maintaining reasonable performance on other less critical process variables, 3) achievable performance improvement with decouplers, and 4) effects of loop pairing on achievable performance. It is shown through a simulated example that individual loop performance as well as the overall multiloop PID control performance can be assessed by using the proposed method.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
åström, K. J., “Introduction to Stochastic Control Theory,” Academic Press, New York (1970).
Desborough, L. and Harris, T. J., “Performance Assessment Measures for Univariate Feedback Control,”Can. J. Chem. Eng.,70, 1186 (1992).
Desborough, L. and Harris, T. J., “Performance Assessment Measures for Univariate Feedforward/Feedback Control,”Can. J. Chem. Eng.,71, 605 (1993).
Gagnepain, J.-P. and Seborg, D. E., “Analysis of Process Interactions with Applications to Multiloop Control System Design,”Ind. Eng. Chem. Proc. Des. Dev.,21, 5 (1982).
Harris, T. J., “Assessment of Control Loop Performance,”Can. J. Chem. Eng.,67, 856 (1989).
Harris, T. J., Boudreau, F. and MacGregor, J. F., “Performance Assessment of Multivariable Feedback Controllers,”Automatica,32, 1505 (1996).
Harris, T. J. and Seppala, C. T., “Recent Developments in Controller Performance Monitoring and Assessment Techniques,” Chemical Process Control VI, J. B. Rawlings, B. Ogunnaike and J. Eaton, eds., 208 (2001).
Huang, B., Shah, S. L. and Kwok, E.K., “Good, Bad or Optimal? Performance Assessment of Multivariable Processes,”Automatica,33, 1175 (1997).
Ko, B.-S. and Edgar, T. F., “Performance Assessment of Cascade Control Loops,”AIChE J.,46, 281 (2000).
Ko, B.-S. and Edgar, T. F., “Performance Assessment of Multivariable Feedback Control Systems,”Automatica,37, 899 (2001a).
Ko, B.-S. and Edgar, T. F., “Performance Assessment of Constrained Model Predictive Control Systems,”AIChE J. 47, 363 (2001b).
Kozub, D. J., “Controller Performance Monitoring and Diagnosis: Experiences and Challenges,” Chemical Process Control — CPC V, J. C. Kantor, C. E. Garcia and B. C. Carnahan, eds., 83 (1996).
Qin, S. J., “Control Performance Monitoring — A Review and Assessment,”Comput. Chem. Eng. 23, 173 (1998).
Sourlas, D., Edgar, T. F. and Manousiouthakis, V., “Best Achievable Low Order Decentralized Performance,” Proc. American Control Conference, Baltimore, Maryland, 3364 (1994).
Stanfelj, N., Marlin, T. E. and MacGregor, J. F., “Monitoring and Diagnosing Process Control Performance: The Single-Loop Case,”Ind. Eng. Chem. Res.,32, 301 (1993).
Author information
Authors and Affiliations
Corresponding author
Additional information
This paper is dedicated to Professor Hyun-Ku Rhee on the occasion of his retirement from Seoul National University.
Rights and permissions
About this article
Cite this article
Ko, BS., Edgar, T.F. & Lee, J. An analytic expression for closed-loop output behavior under multiloop PID control. Korean J. Chem. Eng. 21, 1–5 (2004). https://doi.org/10.1007/BF02705373
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02705373