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)

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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.