Consensus with a reference state for fractional-order multi-agent systems |
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| Authors: | Jing Bai Guoguang Wen Ahmed Rahmani Xing Chu |
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| Affiliation: | 1. CRIStAL, UMR CNRS 9189, Ecole Centrale de Lille, Villeneuve d’Ascq, France;2. Department of Mathematics, Beijing Jiaotong University, Beijing, P.R.China |
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| Abstract: | 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. |
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| Keywords: | consensus fractional-order reference state multi-agent systems formation tracking |
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