Time and Energy Costs for Consensus of Multiagent Systems With a Novel Adaptive Switching Control
研究了非线性多智能体系统在有无噪声下实现固定时间共识的时间与能量成本，设计了经济型自适应切换协议，并通过数值模拟验证了时间与能量成本的权衡。
The time cost (TC) of fixed-time consensus (FXTC) is investigated in this article for nonlinear multiagent systems (MASs), with or without noise. By integrating the interaction between agents with the advantages of fixed-time control techniques, economical adaptive switching protocols are devised, facilitating the achievement of FXTC while mitigating energy costs (ECs). Theoretical analyses of the TC and EC to achieve FXTC are provided. Sufficient conditions for stochastic FXTC are derived by employing the stability theory and algebraic graph theory. Finally, in numerical simulations, the tradeoff between TC and EC is explored and the effectiveness of the designed protocols is substantiated.