Constrained interpolating control: The case of polyhedral invariant set for LPV discrete-time systems

This paper proposes a method for computing a polyhedral invariant set of linear parameter varying systems in the presence of input and state constraints. The main idea is to add iteratively additional constraints until invariance is obtained. In order to deal with the specific non-convex structure of the one-step state prediction tubes arising in LPV contexts, a convexification procedure is used.