New Method for Disturbance Decoupling of Boolean Networks

被引：33
作者：
Feng, Jun-E [1 ]
Li, Yiliang [1 ]
Fu, Shihua [2 ,3 ]
Lyu, Hongli [4 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
[2] Liaocheng Univ, Sch Math Sci, Liaocheng 252000, Shandong, Peoples R China
[3] Liaocheng Univ, Res Ctr Semitensor Prod Matrices Theory & Applica, Liaocheng 252000, Shandong, Peoples R China
[4] Lakehead Univ, Sch Elect & Comp Engn, Thunder Bay, ON P7B 5J2, Canada
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2022年 / 67卷 / 09期
基金：
中国国家自然科学基金;
关键词：
State feedback; Mathematical models; Graphics; Vehicle dynamics; Robustness; Robot kinematics; Organisms; Boolean control networks (BCNs); Boolean networks (BNs); disturbance decoupling; semi-tensor product (STP); state feedback controller; truth matrix; SEMI-TENSOR PRODUCT; CONTROLLABILITY; STABILITY; STABILIZATION; OBSERVABILITY;
D O I：
10.1109/TAC.2022.3161609
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The coordinate transformation technique is a traditional method for solving the disturbance decoupling problem (DDP) of Boolean control networks (BCNs). But under this technique, the obtained conditions are not necessary for the solvability of DDP of original systems. Thus, this article investigates the DDP of Boolean networks (BNs) and BCNs in a new perspective. Based on the new definition of disturbance decoupling, the one-step evolutionary dynamic of states of BNs, shown as a table, is presented for solving the DDP. Besides, a matrix discriminant is introduced to use MATLAB to test whether a BN is disturbance decoupled. For discussing the solvability of DDP of BCNs, a truth matrix is constructed to provide a necessary and sufficient condition and find all possible state feedback controllers. It is worth noting that the computation complexity of the main results is lower than that of the existing results. Furthermore, two examples are given to show the validity and advantages of the main results.
引用
收藏
页码：4794 / 4800
页数：7
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