不确定分数阶非线性多智能体系统的鲁棒一致性

Robust consensus for fractional-order uncertain multi-agent systems with nonlinear dynamics

摘要:

研究了具有分数阶动力学特性的不确定非线性多智能体系统的鲁棒一致性问题.利用分数阶系统的等价频率分布模型和李雅普诺夫稳定性理论，证明了在一致性控制协议的作用下，当反馈增益矩阵满足一定线性矩阵不等式条件时，系统中的智能体最终趋于所给定的目标状态.运用分数阶微积分的预估—校正算法进行数值仿真，验证了理论分析的有效性和可行性.

Abstract:

This paper investigates the robust consensus problem for uncertain fractional-order multi-agent systems with nonlinear dynamics. According to the frequency distributed equivalent model of fractional-order systems and the Lyapunov stability theory, it is proved that under the consensus protocol, the multiple agents in the network can eventually converge to the given objective state when the feedback gain matrix satisfies a certain LMI condition. The simulation results demonstrate the effectiveness and validity of the proposed method by using the fractional calculus predictor-corrector algorithm.