TY - JOUR ID - eprints489 EP - 1403 AV - none TI - Robust explicit MPC based on approximate multi-parametric convex programming KW - multiparametric programming; polytopic uncertainty; robust constraint satisfaction; robust convergence; robust model predictive control schemes; uncertain systems; convex programming; predictive control; robust control; uncertain systems UR - http://eprints.imtlucca.it/489/ SN - 0018-9286 N2 - 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 VL - 51 Y1 - 2006/08// IS - 8 JF - IEEE Transactions on Automatic Control A1 - Muņoz de la Peņa, David A1 - Bemporad, Alberto A1 - Filippi, Carlo PB - IEEE SP - 1399 ER -