robust synchronisation of nonlinear multi-agent systems with sampled-data information

Lei Liu and Jinjun Shan

International Journal of Systems Science, 2017, vol. 48, issue 1, 138-149

Abstract: A distributed H∞$\mathcal {H}_{\infty }$ controller is presented for nonlinear multi-agent systems in this paper. The nonlinear dynamics of each agent are characterised by the Lipschitz condition. With the appearance of system uncertainty and external disturbance, a sampled-data feedback control protocol is carried out along the Lyapunov functional approach. Meanwhile, a state observer is incorporated to reinforce the capability of the proposed control strategy. It is demonstrated that the synchronisation of the networked nonlinear agents are essentially achieved with locally shared information. Remarkably, the system uncertainty and external disturbance are considered in the controller design and the influence caused by L2$\mathcal {L}_2$-bounded disturbance is minimised effectively. Furthermore, the control gain and observer gain derivation are equivalently transformed to a convex optimisation problem, which is solved by an iterative algorithm developed based on the sufficient conditions of system stability. The effectiveness of the proposed controller is verified by simulations.

Date: 2017
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DOI: 10.1080/00207721.2016.1160457

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