An integral‐differential combined type event‐triggered model predictive control for perturbed linear systems

Abstract

AbstractAn integral‐differential combined (IDC) type event‐triggered model predictive control (ET‐MPC) strategy is constructed for linear time‐invariant (LTI) systems in this paper. Compared with the standard ET‐MPC method, the proposed MPC algorithm is developed based on an IDC type event‐triggering mechanism (ETM), which takes both the integral and change rate of the error between the optimal prediction and the real state into the consideration for the construction of the triggering condition. In this way, the dynamic performance can be considered more comprehensively, for effectively reducing the calculation and communication burdens of the ET‐MPC method. In addition, an improved robust constraint is used to deal with additive disturbances, and the dual‐mode control method is employed in the development of the strategy. Then the parameter conditions guaranteeing the iterative feasibility of the proposed algorithm, the closed‐loop stability of the LTI system, and the avoidance of Zeno behavior are given. Finally, two simulation examples demonstrate the effectiveness of the algorithm.