%0 Book Section %A Bemporad, Alberto %A Mosca, Edoardo %B Decision and Control Conference %C San Diego, December 1997 %D 1997 %F eprints:603 %I IEEE %K Lyapunov methods; asymptotic stability; closed loop systems; discrete time systems; predictive control; process control tracking %P 3218-3219 %T Constrained predictive control with terminal ellipsoid constraint and artificial Lyapunov functions %U http://eprints.imtlucca.it/603/ %V 4 %X 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