Quantized impulsive consensus of nonlinear Leader-following multi-agent systems

This work looks into the quantized impulsive consensus challenges of nonlinear leader-following multi-agent systems. Algebraic graph theory, principle of differential dynamics, logarithmic quantizer, matrix theory, and the Lyapunov function, among other things, are used to investigate the key discoveries on consensus. Two appropriate consensus protocols which contain quantized all agents' relative state information and quantized a part of agents' relative state information. For the sake of reducing communication consumption and energy, we combine two control strategies and design two control protocols according to the characteristics of quantized control and impulsive control. After a series of deductions, we find that under quantized impulsive control, multi-agent systems can achieve consensus as long as certain sufficient conditions are satisfied. Finally, the simulation example demonstrates the validity and correctness of this paper's theoretical approach.