Adaptive fuzzy observer-based cooperative control of unknown fractional-order multi-agent systems with uncertain dynamics

In our paper, a new cooperative control for unknown fractional-order multi-agent systems is proposed. In addition to unknown dynamics, for the first time, the values of the fractional orders are also assumed to be unknown, and a new robust observer-based cooperative method for consensus issue of multi-agent systems (MASs) is presented. The unknown functions in the dynamics of the systems in all agents are estimated with the proposed interval type 2 fuzzy self-structuring radial basis function neural network (IT2F-SRBFNN). The free parameters of all IT2F-SRBFNN in all agents are adjusted using the adaptation laws which can be derived from the Lyapunov stability analysis. The strength of the proposed strategy is verified by a number of simulation examples.