Robust Feedback Stability of Networked Multi-agent Negative Imaginary Systems on Undirected Graph. Issue 1 (2022)

• Record Type: Journal Article
• Authors: Choudhary, Santosh Kumar; Chokkadi, Shreesha; Sudhakara, G.
• Is Part Of: IFAC-PapersOnLine. Volume 55:Issue 1(2022)
• Page Start: 528
• Page End: 534
• Publication Date: 2022
• Subjects: Robust control -- Feedback stabilization -- Negative imaginary systems -- Robust stability -- Network topology -- Multi-agent systems -- Uncertain dynamic systems -- Undirected graphs -- Linear matrix inequality -- Networked systems; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2022.04.087
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: The robust stability for networked multi-agent dynamical systems having strict negative imaginary (SNI) uncertainty is discussed in this article. The undirected graph containing at most one self-loop is used to model communication among network agents. The feasibility of control protocol parameters is investigated further in the paper using a set of constraints on linear matrix inequality (LMI). The disciplined convex optimization programming is used to find the feasible solutions of LMIs. The control protocol parameters in this study are computed in such a way that the uncertain networked multi-agent dynamical system is robustly stabilized against strictly negative imaginary (SNI) uncertainty for multiple network topologies. One illustrative design example is also demonstrated to show the efficiency of synthesis method.