journal article·2020-01-01Open access

Mixed H∞ and passive consensus sampled-data control for nonlinear systems

Srimanta Santra, Maya Joby

AIP Advances· Volume 10· Issue 1

Abstract

This paper studies the consensus problem of a second-order nonlinear multi-agent system with directed topologies. A distributed control protocol is proposed for each agent using the relative states among neighboring agents. A mixed H∞ and passivity-based control is maneuvered to deal the bounded disturbances enduring in the system. Based on the theory of the sampled-data control technique and Lyapunov stability theory, some novel conditions are given to realize the consensus of a class of second-order multi-agent nonlinear systems. A new set of delay dependent sufficient conditions is derived in terms of linear matrix inequalities, which guarantees that all agents asymptotically converge to the convex hull with the prescribed H∞ and passive performance. Finally, an example with simulation results is given to verify the theoretical results.
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Research context

OpenAlex topics: Distributed Control Multi-Agent Systems · Neural Networks Stability and Synchronization · Adaptive Control of Nonlinear Systems

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Faculty of Mechanical Engineering, Technion–Israel Institute of Technology 1 , Technion City, Haifa 3200003, Israel

Department of Mathematics, KCG College of Technology 2 , Chennai 600 097, India

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