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Consensus tracking for multiagent systems with nonlinear dynamics.

Dong R - ScientificWorldJournal (2014)

Bottom Line: This paper concerns the problem of consensus tracking for multiagent systems with a dynamical leader.In particular, it proposes the corresponding explicit control laws for multiple first-order nonlinear systems, second-order nonlinear systems, and quite general nonlinear systems based on the leader-follower and the tree shaped network topologies.Several numerical simulations are given to verify the theoretical results.

View Article: PubMed Central - PubMed

Affiliation: The State Key Laboratory for Turbulence and Complex System, Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, China.

ABSTRACT
This paper concerns the problem of consensus tracking for multiagent systems with a dynamical leader. In particular, it proposes the corresponding explicit control laws for multiple first-order nonlinear systems, second-order nonlinear systems, and quite general nonlinear systems based on the leader-follower and the tree shaped network topologies. Several numerical simulations are given to verify the theoretical results.

Show MeSH
The tree shaped graph for a network of four followers with a leader, where L0 denotes the leader and Fi, i = 1,2, 3,4, denote the followers. The direct arrows represent the information flow from the parent agent to the child agent.
© Copyright Policy - open-access
Related In: Results  -  Collection


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fig4: The tree shaped graph for a network of four followers with a leader, where L0 denotes the leader and Fi, i = 1,2, 3,4, denote the followers. The direct arrows represent the information flow from the parent agent to the child agent.

Mentions: Assumption 12 illustrates that each agent is a cooperative partner with its neighbors. Due to the very general nonlinear dynamics and the goal of nonlinear consensus tracking, it is necessary for an agent to know the input of its parent agent. Motivated by the consensus analysis in [25], where the tool of incidence matrix is used to model the error system, we number the edges in the tree shaped graph according to the length of the path which is indirectly connected to the root node shown in Figure 4.


Consensus tracking for multiagent systems with nonlinear dynamics.

Dong R - ScientificWorldJournal (2014)

The tree shaped graph for a network of four followers with a leader, where L0 denotes the leader and Fi, i = 1,2, 3,4, denote the followers. The direct arrows represent the information flow from the parent agent to the child agent.
© Copyright Policy - open-access
Related In: Results  -  Collection

Show All Figures
getmorefigures.php?uid=PMC4150520&req=5

fig4: The tree shaped graph for a network of four followers with a leader, where L0 denotes the leader and Fi, i = 1,2, 3,4, denote the followers. The direct arrows represent the information flow from the parent agent to the child agent.
Mentions: Assumption 12 illustrates that each agent is a cooperative partner with its neighbors. Due to the very general nonlinear dynamics and the goal of nonlinear consensus tracking, it is necessary for an agent to know the input of its parent agent. Motivated by the consensus analysis in [25], where the tool of incidence matrix is used to model the error system, we number the edges in the tree shaped graph according to the length of the path which is indirectly connected to the root node shown in Figure 4.

Bottom Line: This paper concerns the problem of consensus tracking for multiagent systems with a dynamical leader.In particular, it proposes the corresponding explicit control laws for multiple first-order nonlinear systems, second-order nonlinear systems, and quite general nonlinear systems based on the leader-follower and the tree shaped network topologies.Several numerical simulations are given to verify the theoretical results.

View Article: PubMed Central - PubMed

Affiliation: The State Key Laboratory for Turbulence and Complex System, Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, China.

ABSTRACT
This paper concerns the problem of consensus tracking for multiagent systems with a dynamical leader. In particular, it proposes the corresponding explicit control laws for multiple first-order nonlinear systems, second-order nonlinear systems, and quite general nonlinear systems based on the leader-follower and the tree shaped network topologies. Several numerical simulations are given to verify the theoretical results.

Show MeSH