Abstract
Based on the coefficient mapping of eigenpolynomial from plant to GPC closed-loop system in the IMC structure, the solvability of the optimal control law of GPC and some properties of GPC in relationship with tuning parameters are discussed. Theorems on GPC resulting in deadbeat control are given by properly choosing the design parameters. Furthermore, new result about reducing GPC closed-loop system is derived, which extends the former conclusions. It also provides a new way to study the properties of GPC system based on coefficient mapping.
Similar content being viewed by others
References
Clarke, D. W., Mohtadi, C., Tuffs, P. S., Generalized predictive control, Part 1 and 2,Automatica, 1987, 23: 137.
Mohtadi, C., Clarke, D. W., Generalized predictive control, LQ or pole placement: A unified approach, inProc. 25th CDC Conf., Athens, Greece, New York: IEEE Publishing Service, 1986, 1536.
Maurath, P. R., Mellichamp, D. A., Seborg, D. E., Predictive controller design for single-input/single output (SISO) systems,Ind. Eng. Chem. Res., 1986, 27: 956.
McIntosh, A. R., Shah, S. L., Fisher, D. G., Analysis and tuning of adaptive generalized predictive control,The Canadian Journal of Chemical Engineering, 1991, 69: 97.
Clarke, D. W., Mohtadi, C., Property of generalized predictive control,Automatica, 1989, 25: 859.
Yoon, T. W., Robust adaptive predictive control,Ph. D. thesis, Dept. Eng. Sci., Oxford Univ., 1994.
Garcia, C. E., Morari, M., Intarnal model control, 1. A unifying review and some new results,IEC Process Des. Dev., 1982, 21: 308.
Xi, Y., Li, J. Y., Closed-loop analysis of GPC system,Control Theory and Applications (in Chinese), 1991, 8(4): 419.
Author information
Authors and Affiliations
Additional information
Project supported by the National Natural Science Foundation of China.
Rights and permissions
About this article
Cite this article
Xi, Y., Zhang, J. Study on the closed-loop properties of GPC. Sci. China Ser. E-Technol. Sci. 40, 54–63 (1997). https://doi.org/10.1007/BF02916590
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02916590