relation: http://eprints.imtlucca.it/489/ title: Robust explicit MPC based on approximate multi-parametric convex programming creator: Muñoz de la Peña, David creator: Bemporad, Alberto creator: Filippi, Carlo subject: QA Mathematics subject: TJ Mechanical engineering and machinery description: Many robust model predictive control (MPC) schemes require the online solution of a computationally demanding convex program. For deterministic MPC schemes, multiparametric programming was successfully applied to move offline most of the computation. In this paper, we adopt a general approximate multiparametric algorithm recently suggested for convex problems and propose to apply it to a classical robust MPC scheme. This approach enables one to implement a robust MPC controller in real time for systems with polytopic uncertainty, ensuring robust constraint satisfaction and robust convergence to a given bounded set publisher: IEEE date: 2006-08 type: Article type: PeerReviewed identifier: Muñoz de la Peña, David and Bemporad, Alberto and Filippi, Carlo Robust explicit MPC based on approximate multi-parametric convex programming. IEEE Transactions on Automatic Control , 51 (8). pp. 1399-1403. ISSN 0018-9286 (2006) relation: 10.1109/TAC.2006.878755