@incollection{eprints603, booktitle = {Decision and Control Conference}, publisher = {IEEE}, journal = {Proc. 36th IEEE Conf. on Decision and Control}, author = {Alberto Bemporad and Edoardo Mosca}, title = {Constrained predictive control with terminal ellipsoid constraint and artificial Lyapunov functions}, year = {1997}, volume = {4}, address = {San Diego, December 1997}, pages = {3218--3219}, url = {http://eprints.imtlucca.it/603/}, abstract = {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}, keywords = {Lyapunov methods; asymptotic stability; closed loop systems; discrete time systems; predictive control; process control tracking } }