Cooperative simultaneous attack of multi-missiles under unreliable and noisy communication network: A consensus scheme of impact time

In the problem of cooperative simultaneous attack of multi-missiles, we investigate the scenario under communication uncertainty composed of stochastic network and additive noise. The interaction between them will induce the disastrous complex behavior of Lévy flight in the consensus of impact time. To tackle it, the Mean Square (MS) stability of the whole system must be guaranteed. On this issue, we propose an integrated scheme which is developed as a robust control framework composed of circulant fading network and cooperative consensus algorithm. Firstly, a time-invariant consensus algorithm is taken by the definition of coordination variable of impact time. Secondly, the circulant network of spatially invariant structure is proposed for the MS stability analysis by system decomposition and the formula of the MS stability index is deduced. Finally, design principles of network structure and algorithm parameter are extracted by traversing all the possible circulant topology in practice. Simulation results demonstrate the disastrous results caused by the emergence of Lévy flight and the effectiveness of the proposed consensus scheme.