Distributed model predictive control with reconfigurable terminal ingredients for reference tracking

A. Aboudonia, A. Eichler, F. Cordiano, G. Banjac and J. Lygeros

IEEE Transactions on Automatic Control, 2022.
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  author = {A. Aboudonia and A. Eichler and F. Cordiano and G. Banjac and J. Lygeros},
  title = {Distributed model predictive control with reconfigurable terminal ingredients for reference tracking},
  journal = {IEEE Transactions on Automatic Control},
  year = {2022},
  url = {https://doi.org/10.1109/TAC.2021.3133494},
  doi = {10.1109/TAC.2021.3133494}

Various efforts have been devoted to developing stabilizing distributed model predictive control (MPC) schemes for tracking piecewise constant references. In these schemes, terminal sets are usually computed offline and used in the MPC online phase to guarantee recursive feasibility and asymptotic stability. Maximal invariant terminal sets do not necessarily respect the distributed structure of the network, hindering the distributed implementation of the controller. On the other hand, ellipsoidal terminal sets respect the distributed structure, but may lead to conservative schemes. In this paper, a novel distributed MPC scheme is proposed for reference tracking of networked dynamical systems where the terminal ingredients are reconfigured online depending on the closed-loop states to alleviate the aforementioned issues. The resulting non-convex infinite-dimensional problem is approximated using a quadratic program. The proposed scheme is tested in simulation where the proposed MPC problem is solved using distributed optimization.