Explicit MPC
The popular framework of MPC prescribes a control law implicitly. at a given time the optimal control input
Literature
(A. Bemporad, Borrelli, and Morari 2002), (Alberto Bemporad 2021), (Alessio and Bemporad 2009), (Borrelli, Bemporad, and Morari 2017)
References
Alessio, Alessandro, and Alberto Bemporad. 2009. “A Survey on Explicit Model Predictive Control.” In Nonlinear Model Predictive Control: Towards New Challenging Applications, edited by Lalo Magni, Davide Martino Raimondo, and Frank Allgöwer, 345–69. Lecture Notes in Control and Information Sciences. Berlin, Heidelberg: Springer. https://doi.org/10.1007/978-3-642-01094-1_29.
Bemporad, A., F. Borrelli, and M. Morari. 2002. “Model Predictive Control Based on Linear Programming - the Explicit Solution.” IEEE Transactions on Automatic Control 47 (12): 1974–85. https://doi.org/10.1109/TAC.2002.805688.
Bemporad, Alberto. 2021. “Model Predictive Control: Quadratic Programming and Explicit MPC.” Lecture Slides. http://cse.lab.imtlucca.it/~bemporad/teaching/mpc/imt/3-qp_explicit.pdf.
Borrelli, Francesco, Alberto Bemporad, and Manfred Morari. 2017. Predictive Control for Linear and Hybrid Systems. Cambridge, New York: Cambridge University Press. http://cse.lab.imtlucca.it/~bemporad/publications/papers/BBMbook.pdf.