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

作　　者：Rong Zhao Jun-e Feng Dawei Zhang 

机构地区：[1]the School of Mathematics,Shandong University,Shandong University,Jinan 250100,China

出　　处：《IEEE/CAA Journal of Automatica Sinica》2024年第7期1631-1642,共12页自动化学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (62273201,62173209,72134004,62303170);the Research Fund for the Taishan Scholar Project of Shandong Province of China (TSTP20221103)。

摘　　要：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 communication 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 control invariant subset is calculated in terms of the strongly connected 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-feedback and output-feedback STCs for set stabilization are designed,respectively. As classic applications of self-triggered set stabilization, self-triggered synchronization, self-triggered output tracking and self-triggered output regulation are discussed as well. Additionally, several practical examples are given to illustrate the effectiveness of theoretical results.

关 键 词：Boolean control networks(BCNs) output regulation self-triggered control semi-tensor product of matrices set stabilization SYNCHRONIZATION 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]