Cooperative Output Regulation of Singular Multi-Agent Systems Under Switching Network by Standard Reduction

• Published in: IEEE transactions on circuits and systems. I, Regular papers Vol. 65; no. 4; pp. 1377 - 1385
• Main Authors: Wang, Shimin, Huang, Jie
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.04.2018; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptive control; Communication networks; Control; Control systems; Cooperative control; cooperative output regulation; Feedback control; Laws; Model reduction; Multi-agent systems; Multiagent systems; Networked control systems; Output feedback; Regression analysis; singular multi-agent systems; Switches; switching networks; Switching theory
• ISSN: 1549-8328; 1558-0806
• DOI: 10.1109/TCSI.2017.2755686

The cooperative output regulation problem for singular multi-agent systems subject to static networks was studied recently under the assumption that each follower system satisfies the standard assumption. In this paper, we further study the same problem for singular multi-agent systems subject to jointly connected switching networks. First, by introducing a static output feedback control, we remove the unnecessary standard assumption on the singular system in the existing result. Then, we derive a reduced-order normal multi-agent system and obtain a distributed output measurement feedback control law based on the existing result on the normal multi-agent system. Finally, we show that the composition of the static output feedback control law and the distributed output measurement feedback control law solves the cooperative output regulation problem for the original singular multi-agent system. Our result enlarges the class of systems whose cooperative output regulation problem is solvable.