Consensus with a reference state for fractional-order multi-agent systems
Jing Bai, Guoguang Wen, Ahmed Rahmani, Xing Chu, Yongguang Yu · International Journal of Systems Science · 2015
This paper investigates consensus of fractional-order multi-agent systems (MASs) with a reference state. First, a consensus control law with a constant reference state is given using graph theory and stability analysis of fractional-order. Then, a general control law and a particular one for consensus of fractional-order MASs with a time-varying reference state are proposed. Next, the above control laws are extended to solve formation tracking problem. Finally, several simulations are presented to verify the effectiveness of the obtained results.