Trajectory Control of Scale-Free Dynamical Networks with Exogenous Disturbances

【摘要】 <正> In this paper,the trajectory control of multi-agent dynamical systems with exogenous disturbances isstudied.Suppose multiple agents composing of a scale-free network topology,the performance of rejecting disturbancesfor the low degree node and high degree node is analyzed.Firstly,the consensus of multi-agent systems withoutdisturbances is studied by designing a pinning control strategy on a part of agents,where this pinning control can bringmultiple agents’ states to an expected consensus track.Then,the influence of the disturbances is considered by developingdisturbance observers,and disturbance observers based control(DOBC)are developed for disturbances generated by anexogenous system to estimate the disturbances.Asymptotical consensus of the multi-agent systems with disturbancesunder the composite controller can be achieved for scale-free network topology.Finally,by analyzing examples of multiagentsystems with scale-free network topology and exogenous disturbances,the verities of the results are proved.Underthe DOBC with the designed parameters,the trajectory convergence of multi-agent systems is researched by pinning twoclass of the nodes.We have found that it has more stronger robustness to exogenous disturbances for the high degreenode pinned than that of the low degree node pinned.更多还原

【Abstract】 In this paper,the trajectory control of multi-agent dynamical systems with exogenous disturbances is studied.Suppose multiple agents composing of a scale-free network topology,the performance of rejecting disturbances for the low degree node and high degree node is analyzed.Firstly,the consensus of multi-agent systems without disturbances is studied by designing a pinning control strategy on a part of agents,where this pinning control can bring multiple agents’ states to an expected consensus track.Then,the influence of the disturbances is considered by developing disturbance observers,and disturbance observers based control(DOBC)are developed for disturbances generated by an exogenous system to estimate the disturbances.Asymptotical consensus of the multi-agent systems with disturbances under the composite controller can be achieved for scale-free network topology.Finally,by analyzing examples of multiagent systems with scale-free network topology and exogenous disturbances,the verities of the results are proved.Under the DOBC with the designed parameters,the trajectory convergence of multi-agent systems is researched by pinning two class of the nodes.We have found that it has more stronger robustness to exogenous disturbances for the high degree node pinned than that of the low degree node pinned.更多还原