Output feedback predictive control for constrained uncertain discrete systems

An efficient output feedback predictive control algorithm based on the state observer for constrained parameter uncertain discrete system is presented. The proposed method can give a solution to the problems that the error of the state estimation was not considered and the calculation was too large. The system was described by the polytopic description. A state observer was designed to realize the system reconstructed. In the output feedback predictive control algorithm, the constraints and the parameter uncertain can be dealt with by solving the convex optimization problem consisted of a series of the linear matrix inequalities and the feasibility of the linear matrix inequalities were used to construct the output feedback predictive controller. Further, the system state can be replaced by the estimated state and the computation complexity is less. The effectiveness of the proposed method is confirmed by the simulation.