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.