Stable output feedback model predictive control design: LMI approach

The paper addresses two design problems dealing with a quadratic stable output/state feedback model predictive control for linear systems without constraints. For the first approach the model predictive control is designed for a N2 state ahead prediction using the Lyapunov function approach with cost function. In the second approach, the one step ahead prediction control is designed using classical LQR state feedback controller approach. By Diophantine matrix equation, the classical state feedback is recalculated to output one step ahead model predictive control. Three examples are given to demonstrate the effectiveness of proposed methods.