Non-fragile consensus algorithms for a network of diffusion PDEs with boundary local interaction

Jun Xiong and Junmin Li

International Journal of Systems Science, 2017, vol. 48, issue 9, 1829-1835

Abstract: In this study, non-fragile consensus algorithm is proposed to solve the average consensus problem of a network of diffusion PDEs, modelled by boundary controlled heat equations. The problem deals with the case where the Neumann-type boundary controllers are corrupted by additive persistent disturbances. To achieve consensus between agents, a linear local interaction rule addressing this requirement is given. The proposed local interaction rules are analysed by applying a Lyapunov-based approach. The multiplicative and additive non-fragile feedback control algorithms are designed and sufficient conditions for the consensus of the multi-agent systems are presented in terms of linear matrix inequalities, respectively. Simulation results are presented to support the effectiveness of the proposed algorithms.

Date: 2017
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DOI: 10.1080/00207721.2017.1308039

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