Constrained decomposition based control approach for linear parameter varying systems

Considering a constrained discrete-time linear time-varying system, this paper proposes a novel approach which aims at achieving high performance and enlarging the domain of attraction with respect to any particular linear controller. The main idea of the paper is to use a linear decomposition principle together with a parameter dependent Lyapunov function. At each time instant a quadratic programming problem is solved on-line. Proofs of recursive feasibility and asymptotic stability are given.