References
Stability and recursive feasibility of MPC
Explicit MPC
It is generally agreed that the idea of explicit MPC for was first proposed by [1]. Comprehensive treatment is in the freely online available (text)book [2] by the same authors. Last but not least, the lecture slides [3] are recommendable too.
Economic MPC
References
[1]
A. Bemporad, F. Borrelli, and M. Morari, “Model predictive control based on linear programming - the explicit solution,” IEEE Transactions on Automatic Control, vol. 47, no. 12, pp. 1974–1985, Dec. 2002, doi: 10.1109/TAC.2002.805688.
[2]
F. Borrelli, A. Bemporad, and M. Morari, Predictive Control for Linear and Hybrid Systems. Cambridge, New York: Cambridge University Press, 2017. Available: http://cse.lab.imtlucca.it/~bemporad/publications/papers/BBMbook.pdf
[3]
A. Bemporad, “Model Predictive Control: Quadratic programming and explicit MPC.” May 2021. Available: http://cse.lab.imtlucca.it/~bemporad/teaching/mpc/imt/3-qp_explicit.pdf
[4]
M. Ellis, J. Liu, and P. D. Christofides, Economic Model Predictive Control: Theory, Formulations and Chemical Process Applications. in Advances in Industrial Control. Cham: Springer, 2017. Available: https://doi.org/10.1007/978-3-319-41108-8
[5]
M. Ellis, H. Durand, and P. D. Christofides, “A tutorial review of economic model predictive control methods,” Journal of Process Control, vol. 24, no. 8, pp. 1156–1178, Aug. 2014, doi: 10.1016/j.jprocont.2014.03.010.
[6]
T. Faulwasser, L. Grüne, and M. A. Müller, “Economic Nonlinear Model Predictive Control,” Foundations and Trends® in Systems and Control, vol. 5, no. 1, pp. 1–98, Jan. 2018, doi: 10.1561/2600000014.
[7]
J. B. Rawlings, D. Angeli, and C. N. Bates, “Fundamentals of economic model predictive control,” in 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), Dec. 2012, pp. 3851–3861. doi: 10.1109/CDC.2012.6425822.