Adaptive receding horizon control of linear constrained systems with inaccessible states

The problem of feedback stabilization of linear systems with partially accessible states, constraints on the control, and parameter uncertainties is considered. An adaptive receding horizon control strategy is employed to ensure stabilization of the constrained system. The resulting model based receding horizon controller is nonlinear, so that standard convergence results in adaptive control do not appear applicable. Global stabilization is established under observability and controllability assumption on the system.