Fault-Tolerant Consensus Control for Multiagent Systems: An Encryption-Decryption Scheme

• Published in: IEEE transactions on automatic control Vol. 67; no. 5; pp. 2560 - 2567
• Main Authors: Gao, Chen, Wang, Zidong, He, Xiao, Dong, Hongli
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.05.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Consensus; Consensus control; Control systems design; Controllers; Cryptography; Difference equations; Encryption; encryption–decryption scheme; Fault tolerance; Fault tolerant systems; fault-tolerant control; Mathematical analysis; Multi-agent systems; multiagent system (MAS); Multiagent systems; Observers; sensor faults; Series (mathematics); Symmetric matrices; Topology
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2021.3079407

In this article, the fault-tolerant consensus control problem is investigated for multiagent systems with sensor faults. A first-order difference equation is utilized to describe the sensor fault, and an observer is designed to estimate the state and the fault simultaneously. For security enhancement and/or congestion mitigation purposes, the estimated state is first encrypted into a series of finite-level codewords by an encryption algorithm and, then, transmitted to other agents through a directed topology. After being received, the codewords are then decrypted by the corresponding decryption algorithm and subsequently utilized to design the consensus controller. By constructing a novel matrix norm along with its compatible vector norm, we obtain a necessary and sufficient condition, which serves as an index in the observer and the controller design. In the end, a simulation example is given to demonstrate the validity of the results in this article.