Ledley Solution Method for All Feasible State Feedback Stabilizers of Boolean Control Networks With Disturbances

被引：0
|
作者：
Li, Xinling [1 ]
Fu, Shihua [1 ]
Wang, Jianjun [1 ]
机构：
[1] Liaocheng Univ, Sch Math Sci, Liaocheng 252026, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2024年 / 22卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Boolean control network; disturbance inputs; Ledley antecedence solution; semi-tensor product of matrices (STP); state feedback stabilizer; CONTROL DESIGN; ROBUST STABILITY; OUTPUT TRACKING; MODELS;
D O I：
10.1007/s12555-022-0590-x
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper addresses the robust stabilization problem of Boolean control networks with disturbance inputs (DBCNs) via the semi-tensor product (STP) of matrices, and designs all feasible state feedback stabilizers. Based on the algebraic form of DBCNs, some necessary and sufficient conditions are derived for the robust stabilization of DBCNs by Ledley antecedence solution technique. An algorithm is proposed to determine all complete families of robust reachable sets, moreover, all feasible state feedback stabilizers are obtained. Finally, two numerical examples are exploited to illustrate the effectiveness of the proposed results as well as the controller design scheme.
引用
收藏
页码：84 / 92
页数：9
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