Numerically efficient control of systems with communication constraints

We address the problem of stabilization to the trivial equilibrium of a linear system for which commands are issued to different group of actuators through a shared communication resource. The problem is tackled by using a model predictive control scheme, which, at every step, decides the allocation of the bus and the control command values. We develop a formulation based on the generalized linear complementarity problem, which enables the application of efficient numerical solutions. Finally, we give some preliminary result on the parametric dependence of the problem´s solution from the system´s state.