Consensus of fractional-order double-integrator multi-agent systems
Consensus of fractional-order double-integrator multi-agent systems
复制标题
DOI：
10.1016/j.neucom.2019.02.046
复制
发表时间：
2019-05
期刊：
影响因子：
6
通讯作者：
Huiyang Liu;G. Xie;Yanping Gao
中科院分区：
文献类型：
--
作者：
Huiyang Liu;G. Xie;Yanping Gao
研究了分数阶双积分多智能体系统的一致性问题，其中分数阶导数的阶数为（0，1）。连续时间和采样数据为基础的共识协议提出了绝对和相对阻尼的情况下，分别。对于连续时间协议，通过使用整数阶和分数阶多智能体系统之间的连接来实现共识。对于基于采样数据的协议，使用Hermite-Biehler定理进行收敛性分析，该定理用于处理具有复系数的多项式的稳定性。结果表明，对于绝对阻尼情况，一致性值是初始条件的函数;对于相对阻尼情况，一致性值与初始条件和时间有关。最后，通过实例验证了主要定理的正确性.
In this paper, several consensus problems are studied for fractional-order double-integrator multi-agent systems, where the order of fractional derivative belongs to (0, 1). Both continuous-time and sampled-data based consensus protocols are proposed for absolute and relative damping cases, respectively. For the continuous-time protocols, consensus is achieved by using the connection between integer-order and fractional-order multi-agent systems. For the sampled-data based protocols, convergence analysis is provided by using the Hermite–Biehler theorem, which is used to deal with the stability of a polynomial with complex coefficients. It is shown that the consensus value is a function of the initial conditions for the absolute damping case, while the consensus value is related to the initial conditions and the time for the relative damping case. In addition, some examples are provided to validate the correctness of the main theorems.