Event‐triggered MPC for linear systems with bounded disturbances: An accumulated error based approach

Abstract

Abstract A novel accumulated error based event‐triggered model predictive control (MPC) algorithm is put forward on the basis of the dual‐mode control strategy and state‐feedback control for constrained continuous‐time linear time‐invariant (LTI) systems with constraints and bounded disturbances. First, a new event‐triggered mechanism (ETM) is constructed based on the accumulated error (AE) between the optimal state trajectory and the real state trajectory. Next, in order to stabilize the system, the dual‐mode event‐triggered MPC strategy is established. Then, sufficient conditions are established to guarantee the algorithm feasibility, system stability, and to avoid the Zeno behavior. Finally, the numerical simulation shows the validity of the algorithm.