Stabilization of logical control networks:an event-triggered control approach  

作　　者：Shiyong ZHU Yang LIU Yijun LOU Jinde CAO 

机构地区：[1]Jiangsu Provincial Key Laboratory of Networked Collective Intelligence,School of Mathematics,Southeast University,Nanjing 210096,China [2]College of Mathematics and Computer Science,Zhejiang Normal University,Jinhua 321004,China [3]Department of Applied Mathematics,Hong Kong Polytechnic University,Hong Kong,China

出　　处：《Science China(Information Sciences)》2020年第1期163-173,共11页中国科学（信息科学）（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos. 11671361, 61833005, 61573096);Natural Science Foundation of Zhejiang Province (Grant No. LD19A010001);Natural Science Foundation of Jiangsu Province (Grant No. BK20170019);Jiangsu Provincial Key Laboratory of Networked Collective Intelligence (Grant No. BM2017002)

摘　　要：This paper investigates the global stabilization problem of k-valued logical control networks(KVLCNs) via event-triggered control(ETC), where the control inputs only work at several certain individual states. Compared with traditional state feedback control, the designed ETC approach not only shortens the transient period of logical networks but also decreases the number of controller executions. The content of this paper is divided into two parts. In the first part, a necessary and sufficient criterion is derived for the event-triggered stabilization of KVLCNs, and a construction procedure is developed to design all timeoptimal event-triggered stabilizers. In the second part, the switching-cost-optimal event-triggered stabilizer is designed to minimize the number of controller executions. A labeled digraph is obtained based on the dynamic of the overall system. Utilizing this digraph, we formulate a universal and unified procedure called the minimal spanning in-tree algorithm to minimize the triggering event set. Furthermore, we illustrate the effectiveness of obtained results through several numerical examples.This paper investigates the global stabilization problem of k-valued logical control networks(KVLCNs) via event-triggered control(ETC), where the control inputs only work at several certain individual states. Compared with traditional state feedback control, the designed ETC approach not only shortens the transient period of logical networks but also decreases the number of controller executions. The content of this paper is divided into two parts. In the first part, a necessary and sufficient criterion is derived for the event-triggered stabilization of KVLCNs, and a construction procedure is developed to design all timeoptimal event-triggered stabilizers. In the second part, the switching-cost-optimal event-triggered stabilizer is designed to minimize the number of controller executions. A labeled digraph is obtained based on the dynamic of the overall system. Utilizing this digraph, we formulate a universal and unified procedure called the minimal spanning in-tree algorithm to minimize the triggering event set. Furthermore, we illustrate the effectiveness of obtained results through several numerical examples.

关 键 词：logical control network event-triggered control STABILIZATION semi-tensor product minimal spanning in-tree 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]