Semi-global edge-consensus of linear discrete-time multi-agent systems with positive constraint and input saturation

• Published in: IET control theory & applications Vol. 13; no. 7; pp. 979 - 987
• Main Authors: Sun, Yaping, Su, Housheng, Wang, Xiaoling, Chen, Shiming
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 30.04.2019
• Subjects: discrete time systems; distributed control; distributed control protocols; feedback; graph theory; linear discrete‐time multiagent systems; linear systems; low‐gain feedback method; multi‐agent systems; nonnegative edge‐consensus; positive edge state constraint; positive system theory; semiglobal edge‐consensus; Special Issue: Theory of Positive Systems and Applications; state positive constraint; positive system theory; multi-agent systems; low-gain feedback method; discrete time systems; distributed control; graph theory; linear systems; distributed control protocols; linear discrete-time multiagent systems; semiglobal edge-consensus; feedback; nonnegative edge-consensus; state positive constraint; positive edge state constraint
• ISSN: 1751-8644; 1751-8652
• DOI: 10.1049/iet-cta.2018.5266

, 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.