Control design under attacks of multi-agent switched systems via arbitrary switching

In this paper, the consensus control against attacks for a type of nonlinear multi-agent switched systems under arbitrary switching is studied. The attacks corrupt the information data, which cannot be used for the feedback design. Meanwhile, the switching logic is not allowed to be designed. To tackle the complicated effects, some intermediate variables and adaptive laws are introduced to compensate the uncertainties. By constructing a common Lyapunov function, an adaptive protocol is proposed such that the outputs of the agents achieve consensus against attacks under arbitrary switching.