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A simple algorithm for robust MPC

Authors:Rossiter John, University of Sheffield, United Kingdom
Pluymers B, Katholieke Universiteit Leuven, Belgium
Suykens J.A.K., Katholieke Universiteit Leuven, Belgium
De Moor B., Katholieke Universiteit Leuven, Belgium
Topic:2.5 Robust Control
Session:Robust Model Predictive Control
Keywords: Robust predictive control, maximal admissible sets, constraint handling, LPV systems

Abstract

The majority of recent works on robust MPC either require very burdensomeonline computations or are restricted to relatively small feasible regions. This paper builds on a recent work which demonstrated that one could compute the maximaladmissible set for a linear parameter varying system and shows how this set can be used as the terminal region and hence allows the definition ofan MPC algorithm requiring only quadratic programming, but with a maximal region of attraction and guaranteed convergence for the robust case.