@article{eprints467, year = {1998}, title = {A predictive controller with artificial Lyapunov function for linear systems with input/state constraints}, pages = {1255--1260}, number = {10}, volume = {34}, month = {October}, author = {Alberto Bemporad}, publisher = {Elsevier}, journal = {Automatica}, abstract = {This paper copes 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. Procedures to maximize the volume of such an ellipsoidal set are provided, and interiorpoint methods to solve on-line optimization are considered.}, url = {http://eprints.imtlucca.it/467/}, keywords = {Predictive control; constraints; Lyapunov function; set-point control; optimization problems; interior-point methods; quadratically constrained quadratic programming} }