Distributed PID Control for Consensus of Homogeneous and Heterogeneous\n Networks

2014/09/08 by Daniel Burbano, Burbano, Daniel, Mario di Bernardo +1 · 2 citations
Computer Science · Engineering · #93A14 (Secondary) #93A15 (Primary) #C.2.1 #Distributed Control Multi-Agent Systems #FOS: Mathematics #Frequency Control in Power Systems #I.2.8 #Neural Networks Stability and Synchronization #Nonlinear Dynamics and Pattern Formation #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.1409.2324

openalex publication_date 2014/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the use of distributed PID actions to achieve consensus in\nnetworks of homogeneous and heterogeneous linear systems. Convergence of the\nstrategy is proved for both cases using appropriate state transformations and\nLyapunov functions. The effectiveness of the theoretical results is illustrated\nvia its application to a representative power grid model recently presented in\nthe literature.\n

Citations

• Consensus Problems in Networks of Agents With Switching Topology and Time-Delays

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