Non-fragile consensus control for nonlinear multi-agent systems with uniform quantizations and deception attacks via output feedback approach

In this paper, we handle the non-fragile consensus control problem for a class of discrete time-varying nonlinear multi-agent systems with uniform quantization and randomly occurring deception attacks. The quantization error is described by a noise distributed uniformly in certain interval, and the phenomenon of the randomly occurring deception attacks is depicted by the Bernoulli distributed random variables with known probabilities. Here, the measurement output utilized in the controller side is not only from a single agent itself, but also from its adjacent agents, where the corresponding transmissions are carried out under a given topology. In particular, the controller gain perturbations are characterized by the multiplicative noises. We focus on the design of non-fragile time-varying output feedback controller such that, when the randomly occurring deception attacks, uniform quantization effects as well as controller gain perturbations exist simultaneously, and the desired consensus performance is guaranteed by designing the controller parameters. Accordingly, a sufficient condition is derived to ensure the existence of the desired control scheme, where the feasibility of conducted problem can be tested by solving a set of matrix inequalities. Moreover, the optimal consensus performance is addressed by employing an optimization problem. Finally, we utilize the simulations to illustrate the feasibility of the proposed output feedback control strategy.