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Design of LASSO MPC for Prioritised and Auxiliary Actuators

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Lasso-MPC – Predictive Control with ℓ1-Regularised Least Squares

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Abstract

This chapter addresses the use of \(\ell _{asso}\)-MPC for control scenarios in which actuators can be clearly divided into two groups: preferred actuators and auxiliary actuators. A pre-existing stabilising MPC is assumed to be given, which considers only the former. These preferred actuators are set to be used for most of the time and are meant to stabilise the system. On the other hand, the auxiliary actuators are meant to play a secondary role. In particular, given a pre-existing MPC the chapter provides a set of numerical tools to construct a new \(\ell _{asso}\)-MPC, which includes the auxiliary actuators among its decision variables.

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Notes

  1. 1.

    Degenerate constraints could also be accommodated, for instance using the methods in Tondel et al. (2003).

  2. 2.

    In Eq. (6.2.3) the “\(+m(k-1)\)” means that \(m(k-1)\) is added to all the indices of the list.

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Correspondence to Marco Gallieri .

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Gallieri, M. (2016). Design of LASSO MPC for Prioritised and Auxiliary Actuators. In: Lasso-MPC – Predictive Control with ℓ1-Regularised Least Squares. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-27963-3_6

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  • DOI: https://doi.org/10.1007/978-3-319-27963-3_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-27961-9

  • Online ISBN: 978-3-319-27963-3

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