Self-Triggered Set Stabilization of Boolean Control Networks and Its ApplicationsOACSTPCDEI

Set stabilization is one of the essential problems in engineering systems,and self-triggered control(STC)can save the storage space for interactive information,and can be successfully applied in networked control systems with limited communica-tion resources.In this study,the set stabilization problem and STC design of Boolean control networks are investigated via the semi-tensor product technique.On the one hand,the largest con-trol invariant subset is calculated in terms of the strongly con-nected components of the state transition graph,by which a graph-theoretical condition for set stabilization is derived.On the other hand,a characteristic function is exploited to determine the triggering mechanism and feasible controls.Based on this,the minimum-time and minimum-triggering open-loop,state-feed-back and output-feedback STCs for set stabilization are designed,respectively.As classic applications of self-triggered set stabiliza-tion,self-triggered synchronization,self-triggered output tracking and self-triggered output regulation are discussed as well.Addi-tionally,several practical examples are given to illustrate the effectiveness of theoretical results.