Impulsive Zone Model Predictive Control (iZMPC) for Therapeutic Treatments: Application to HIV Dynamic

The problem of drug administration in therapeutic treatments of the human immunodeficiency virus is studied by means of impulsive zone model predictive control (iZMPC). Two strategies are presented. The first one is a zone MPC based on a linear impulsive characterization of the system and provides an efficient and easy-to-apply way to find the proper therapeutic treatments. The second one, which is devoted to overcome the often large plant-model mismatches, is based on a novel nonlinear impulsive prediction scheme. Both proposals are tested and the results appear to be satisfactory as long as the medical goals of the treatment are achieved, which also shows that these impulsive schemes have a great potential in the developing of therapeutic strategies.