Closed-loop stabilizing MPC for discrete time bilinear systems

Model-based Predictive Control (MPC) strategies for discrete time bilinear systems are developed, which incorporate the guarantee of nominal closed loop stability. It is demonstrated how the structure of the bilinear model can be exploited, both for a MPC strategy which is based on the combined use of an end point weighting and end point inequality constraint, and for a MPC strategy which uses the closed loop paradigm, deploying perturbations on an off-line designed control law. These two MPC algorithms are compared by means of a numerical example.