A stabilizing low-order output feedback receding horizon control for linear discrete time-invariant systems

In this paper, a stabilizing low-order output feedback receding horizon control (RHC) is proposed for linear discrete time-invariant systems. An inequality condition on the terminal weighting matrix is presented under which the closed-loop stability of the low-order output feedback receding horizon controls is guaranteed. Then, it is shown that the stabilizing low-order output feedback receding horizon control problem can be represented as a nonlinear minimization problem based on linear matrix inequalities. An algorithm for solving the nonlinear minimization problem is proposed. Finally, the efficiency of the proposed algorithm is illustrated through numerical examples.