Constrained predictive control with terminal ellipsoid constraint and artificial Lyapunov function

We deal with the problem of satisfying input and/or state hard constraints in set-point tracking problems. Stability is guaranteed by synthesizing a Lyapunov quadratic function for the system, and by imposing that the terminal state lies within a level set of the function. Algorithmic procedures to maximize the volume of such an ellipsoidal set are provided.