Model predictive control for unconstrained polytopic systems under try-once-discard protocol
This paper is concerned with the model predictive control (MPC) problem for a class of unconstrained polytopic systems under the try-once-discard (TOD) protocol. Under the TOD protocol, only the sensor gaining the highest priority is allowed to transmit the data to the controller at each time instant. In this case, a switched system related to the activated sensor is constructed and, based on which, a “min-max” problem is formulated to facilitate the design of the MPC-based controllers. Furthermore, by taking the influence of the TOD protocol into consideration, an online minimization problem on certain upper bound of the objective function is put forward in order to acquire locally optimal control performance under the TOD protocol. Finally, a simulation example is used to illustrate the effectiveness of the proposed technique.