Discrete-time triggered reset law design based on model predictive strategy for linear systems

This study investigates discrete-time triggered reset law design for linear systems in order to adapt reset control to computer-based implementation. The reset actions are triggered at discrete sampling times if predefined reset conditions are satisfied, and reset law is used to determine reset values of the controller states. A discrete-time switched system model of the reset control systems is established, then, a model predictive strategy is proposed to design the reset law by solving a linear matrix inequality optimisation problem. Moreover, the proposed method is extended to observer-based reset law design. The obtained results are applied to numerical example and typical continuous stirred tank reactor system, simulations show that the proposed design is effective.