H_∞ predictive control for 2-D Roesser model under multiple denial-of-service attacks

In this paper, we concentrate on H_∞ predictive control issue for Roesser-type two-dimensional (2-D) system under multiple denial of service attacks (DoSs). The research will be realized through the following considerations. Firstly, a general multi-DOSs description is formulated under Roesser-type 2-D framework. Then the event-based 2-D triggered strategy is constructed to compensate the occurred multiple DoSs network attacks, which helps to save network resources and improve the network utilization. On this basis, some innovative multi-steps 2-D predictive controller is designed, and then, Roesser-type 2-D predictive control system can be obtained accordingly. For the predictive control system, we propose the detailed analysis scheme for considering H_∞ predictive control issue. Furthermore, we derive the 2-D controller gain design algorithm, and the H_∞ robustness analysis criterion in solvable matrix constraints. To conclude the paper, a chemical process example is given to illustrate the effectiveness and practicability of the provided method and controller design.