Finite-Time Consensus Tracking for Incommensurate Fractional-Order Nonlinear Multiagent Systems With Directed Switching Topologies

The tracking control of multiagent dynamical systems with exogenous disturbances is studied. A path following algorithm with a time-varying reference state is proposed, and the path tracking of multiagent systems with exogenous disturbance is analyzed. Under the influence of the disturbances, a disturbance observer is developed to estimate the exogenous disturbances. Asymptotical consensus of the multiagent systems with time-varying reference state and exogenous disturbances under the disturbance observers-based control (DOBC) can be achieved for fixed and switching topologies. Finally, by applying an example of multiagent systems with switching topologies and exogenous disturbances, the consensus tracking of multiagent systems with time-varying reference state is reached under the DOBC with the designed parameters.

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Exponential Finite-Time Consensus of Fractional-Order Multiagent Systems

IEEE Transactions on Systems Man and Cybernetics Systems ◽

10.1109/tsmc.2018.2816060 ◽

2020 ◽

Vol 50 (4) ◽

pp. 1549-1558 ◽

Cited By ~ 11

Author(s):

Huiyang Liu ◽

Long Cheng ◽

Min Tan ◽

Zeng-Guang Hou

Keyword(s):

Multiagent Systems ◽

Fractional Order ◽

Finite Time

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Disturbance observer-based consensus tracking for nonlinear multiagent systems with switching topologies

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.4008 ◽

2017 ◽

Vol 28 (6) ◽

pp. 2144-2160 ◽

Cited By ~ 9

Author(s):

Xiaolin Ai ◽

Jianqiao Yu ◽

Zhenyue Jia ◽

Di Yang ◽

Xuan Xu ◽

...

Keyword(s):

Multiagent Systems ◽

Disturbance Observer ◽

Switching Topologies ◽

Consensus Tracking

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Consensus Tracking of Fractional-Order Multiagent Systems via Fractional-Order Iterative Learning Control

Complexity ◽

10.1155/2019/2192168 ◽

2019 ◽

Vol 2019 ◽

pp. 1-11

Author(s):

Shuaishuai Lv ◽

Mian Pan ◽

Xungen Li ◽

Qi Ma ◽

Tianyi Lan ◽

...

Keyword(s):

Multiagent Systems ◽

Fractional Order ◽

Iterative Learning Control ◽

Learning Control ◽

Iterative Learning ◽

Convergence Conditions ◽

Consensus Tracking ◽

Communication Topology ◽

Fixed Topology ◽

Virtual Leader

In this work, the consensus problem of fractional-order multiagent systems with the general linear model of fixed topology is studied. Both distributed PDα-type and Dα-type fractional-order iterative learning control (FOILC) algorithms are proposed. Here, a virtual leader is introduced to generate the desired trajectory, fixed communication topology is considered, and only a subset of followers can access the desired trajectory. The convergence conditions are proved using graph theory, fractional calculus, and λ norm theory. The theoretical analysis shows that the output of each agent completely tracks the expected trajectory in a limited time as the iteration number increases for both PDα-type and Dα-type FOILC algorithms. Extensive numerical simulations are given to demonstrate the feasibility and effectiveness.

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