Robust consensus of fractional-order multi-agent systems with input saturation and external disturbances
作者： Lin Chen , Yan-Wu Wang , Wu Yang , Jiang-Wen Xiao
DOI: 10.1016/J.NEUCOM.2018.04.002
关键词:
摘要: Abstract In this paper, the robust consensus problem of fractional-order multi-agent systems with input saturation and external disturbances is studied under a directed fixed topology. It’s first time to consider agent subject saturation. When there exist simultaneously, by means Mittag–Leffler stability theorem low gain feedback technique, control protocol presented guarantee can be achieved. Moreover, as special case, leader-following achieved when only exists Finally, results are verified several simulation examples.
sci-hub.se 参考文章(39)
Hari M Srivastava, Anatoly A Kilbas, Juan J Trujillo, Theory and Applications of Fractional Differential Equations ,(2006)
Zhongjun Ma, Yi Wang, Xiaomei Li, Cluster-delay consensus in first-order multi-agent systems with nonlinear dynamics Nonlinear Dynamics. ,vol. 83, pp. 1303- 1310 ,(2016) , 10.1007/S11071-015-2403-8
I. Cohen, I. Golding, I. G. Ron, E. Ben-Jacob, Biofluiddynamics of lubricating bacteria Mathematical Methods in the Applied Sciences. ,vol. 24, pp. 1429- 1468 ,(2001) , 10.1002/MMA.190
Jeremy W. Baxter, Graham S. Horn, Daniel P. Leivers, Fly-by-agent: Controlling a pool of UAVs via a multi-agent system Knowledge Based Systems. ,vol. 21, pp. 232- 237 ,(2008) , 10.1016/J.KNOSYS.2007.11.005
Yang Tang, Huijun Gao, Jianquan Lu, Jurgen Kurths, Pinning distributed synchronization of stochastic dynamical networks: a mixed optimization approach. IEEE Transactions on Neural Networks. ,vol. 25, pp. 1804- 1815 ,(2014) , 10.1109/TNNLS.2013.2295966
Yonathan Kozlovsky, Inon Cohen, Ido Golding, Eshel Ben-Jacob, Lubricating bacteria model for branching growth of bacterial colonies. Physical Review E. ,vol. 59, pp. 7025- 7035 ,(1999) , 10.1103/PHYSREVE.59.7025
Jun-Guo Lu, YangQuan Chen, Stability and stabilization of fractional-order linear systems with convex polytopic uncertainties Fractional Calculus and Applied Analysis. ,vol. 16, pp. 142- 157 ,(2013) , 10.2478/S13540-013-0010-2
Housheng Su, Gui Jia, Michael Z.Q. Chen, Semi-global containment control of multi-agent systems with intermittent input saturation Journal of The Franklin Institute-engineering and Applied Mathematics. ,vol. 352, pp. 3504- 3525 ,(2015) , 10.1016/J.JFRANKLIN.2014.09.006
Jovan D. BoÏskovic, Sai-Ming Li, Raman K. Mehra, Robust Adaptive Variable Structure Control of Spacecraft Under Control Input Saturation Journal of Guidance, Control, and Dynamics. ,vol. 24, pp. 14- 22 ,(2001) , 10.2514/2.4704
Manuel A. Duarte-Mermoud, Norelys Aguila-Camacho, Javier A. Gallegos, Rafael Castro-Linares, Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems Communications in Nonlinear Science and Numerical Simulation. ,vol. 22, pp. 650- 659 ,(2015) , 10.1016/J.CNSNS.2014.10.008