Adaptive Self-Triggered Model Predictive Control of Discrete-Time Linear Systems

The communication load is a main concern for implementing model predictive control (MPC) to networked control systems. This paper investigates the self-triggered MPC problem for discrete-time linear systems under network environments to reduce communication load. We first propose a novel cost function which explicitly takes the communication cost into consideration. Based on the new cost function, an adaptive self-triggered MPC strategy is designed in the sense that the self-triggered time intervals can be adaptively adjusted via optimization. We further develop a simplified approach to solving the optimal control sequences and the optimal self-triggered time intervals. The stability of the closed-loop system is analyzed and we show that the closed-loop system is asymptotically stable if some mild controllability conditions are satisfied. Finally, the effectiveness of the designed algorithm is verified via simulation studies.