Journal
IET CONTROL THEORY AND APPLICATIONS
Volume 13, Issue 7, Pages 979-987Publisher
INST ENGINEERING TECHNOLOGY-IET
DOI: 10.1049/iet-cta.2018.5266
Keywords
discrete time systems; linear systems; distributed control; graph theory; multi-agent systems; feedback; semiglobal edge-consensus; state positive constraint; positive system theory; low-gain feedback method; nonnegative edge-consensus; positive edge state constraint; linear discrete-time multiagent systems; distributed control protocols
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Funding
- National Natural Science Foundation of China [61873318, 61473129]
- Natural Science Foundation of Hubei Province of China [2018CFA058]
- Wuhan Morning Light Plan of Youth Science and Technology [2017050304010288]
- Fundamental Research Funds for the Central Universities [HUST: 2017KFYXJJ178]
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, The authors study the semi-global edge-consensus of linear discrete-time multi-agent systems subject to edge state positive constraint and input saturation. By virtue of the positive system theory and low-gain feedback method, the distributed control protocols for undirected and directed networks are designed to guarantee the non-negative edge-consensus with input saturation. Then, sufficient conditions, which can guarantee the edge-consensus together with keeping the positive edge state constraint and avoiding the input saturation, are provided. Finally, two examples are presented to verify the theoretical results.
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