Fikar, M., Jorgensen, S. B.: Multivariable Constrained Control Based upon all Stabilizing Controllers, In: D. W. Clarke (Ed.) Advances in Model-Based Predictive Control, Oxford University Press, 1994, 260 - 275.


A multivariable linear controller based upon pole placement design is developed from the family of all stabilizing controllers. In addition a long-range prediction objective function is minimized to satisfy constraints on any signal or linear combinations thereof. The controller is designed to cope with modelled setpoint changes. Simulations of single- and multivariable control problems illustrate superiority of the proposed algorithm over one-step strategies. The algorithm is expected to be superior to previous constrained predictive algorithms since it is closed loop in design. Finally it is demonstrated that the algorithm can directly be extended to handle varying plant parameters by incorporating parameter adaptivity.