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Matrix Representation-Based Fault-Tolerant Control for Boolean Control Networks Subject to Bridging Fault
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DOI：10.1109/tcns.2026.3689958.png)
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Abstract
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Fault-tolerant control is an essential and intricate area within the control community, with broad applications across aerospace, chemical engineering, nuclear engineering, and so on. Notably, the study of faulty Boolean control networks (BCNs) is of considerable importance in the field of genetic engineering. This article investigates the fault-tolerant control of BCNs subject to bridging fault in the framework of semitensor product of matrices. First, the concrete algebraic form of faulty BCNs is presented based on the fault transformation matrices. Second, several criteria are proposed for the fault detectability and fault tolerance of BCNs subject to bridging fault by constructing the fault combination matrices and indicative vectors. Based on the criteria, an algorithm is given for designing the fault-tolerant control. Finally, a Boolean model of faulty p53 pathways is used to validate the obtained results.
Keywords:
Boolean control network (BCN)
bridging fault
fault detection
fault-tolerant control
semitensor product (STP) of matrices
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