Output feedback integral sliding mode predictive control for linear discrete time systems

In this paper, anew output feedback integral sliding model predictive control (OF-ISMPC) strategy is proposed for linear discrete-time systems when the states are unmeasured, which avoids the utilization of a state observer. The proposed OF-ISMPC can ensure strong robustness while at the same time achieving optimal performance of the controlled system. The role of the output feedback integral sliding mode control (OFISMC) is to compensate for any matched disturbances. The role of the output feedback robust model predictive control (OF-RMPC) is to solve the optimization problem with constraints. Moreover, the impact of unmatched disturbances on the system is reduced by defining the integral sliding surface as a function of an optimal projection matrix. The input-to-state practical stability for the closed-loop system is proved. Finally, numerical simulations and experimental results are provided to validate the effectiveness of the proposed approach.