A class of robust consensus algorithms with predefined‐time convergence under switching topologies. (1st September 2019)

• Record Type: Journal Article
• Authors: Aldana‐López, Rodrigo; Gómez‐Gutiérrez, David; Defoort, Michael; Sánchez‐Torres, Juan Diego; Muñoz‐Vázquez, Aldo Jonathan
• Is Part Of: International journal of robust and nonlinear control. Volume 29:Number 17(2019)
• Page Start: 6179
• Page End: 6198
• Publication Date: 2019-09-01
• Subjects: consensus -- fixed‐time consensus -- multiagent systems -- predefined‐time consensus -- prescribed‐time consensus -- switching topology; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.4715
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: This paper addresses the robust consensus problem under switching topologies. Contrary to existing methods, the proposed approach provides decentralized protocols that achieve consensus for networked multiagent systems in a predefined time. Namely, the protocol design provides a tuning parameter that allows setting the convergence time of the agents to a consensus state. An appropriate Lyapunov analysis exposes the capability of the current proposal to achieve predefined‐time consensus over switching topologies despite the presence of bounded perturbations. Finally, this paper presents a comparison showing that the suggested approach subsumes existing fixed‐time consensus algorithms, which allows to provide extra degrees of freedom to obtain predefined‐time consensus protocols with improved convergence characteristics, for instance, to reduce the slack between the true convergence time and the predefined upper bound. Numerical results are given to illustrate the effectiveness and advantages of the proposed method.