Receding horizon regional pole placement of uncertain discrete systems

A new approach for robust receding horizon control synthesis is proposed, which combines receding horizon strategy with robust quadratic d-stabilization, to solve receding horizon regional pole placement problems of structure perturbed discrete systems. The resulting time varying state feedback control law minimizes, at each sample time, an upper bound on the Lyapunov function, subject to quadratic d-stabilization inequalities. It is shown through examples that the feasible receding horizon state-feedback control design robustly stabilizes the disturbed uncertain system, and the performance is better than quadratic d-stabilization