Robust Set Stabilization of Boolean Control Networks: An Event-Triggered Control Approach

This paper investigates the robust set stabilization problem of Boolean control networks (BCNs) via event-triggered control (ETC). The so-called ETC in this paper is essentially an intermittent control scheme, that is, the control only works at several certain individual states. At first, by utilizing the semi-tensor product (STP) technique, the equivalent algebraic representation of BCNs with disturbances is obtained. Based on this constructed system, a necessary and sufficient criterion is developed for the global set stabilization under event-triggered controllers. At the same time, a construction strategy is purposed to design the corresponding feasible set stabilizing laws. Compared with the traditional state feedback control, this kind ETC not only further shortens the transition period, but also decreases the number of times the controller executed. Finally, the effectiveness of obtained results is illustrated by a numerical example.