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TECHNICAL BRIEFS

# Control of Multiagent Systems Using Linear Cyclic Pursuit With Heterogenous Controller Gains

[+] Author and Article Information
A. Sinha

Guidance, Control and Decision Systems Laboratory, Department of Aerospace Engineering, Indian Institute of Science, Bangalore 560012, India

D. Ghose1

Guidance, Control and Decision Systems Laboratory, Department of Aerospace Engineering, Indian Institute of Science, Bangalore 560012, India

1

Corresponding author.

J. Dyn. Sys., Meas., Control 129(5), 742-748 (Nov 30, 2006) (7 pages) doi:10.1115/1.2764505 History: Received April 15, 2006; Revised November 30, 2006

## Abstract

In this paper, behavior of a group of autonomous mobile agents under cyclic pursuit is studied. Cyclic pursuit is a simple distributed control law, in which the agent $i$ pursues agent $i+1modn$. The equations of motion are linear, with no kinematic constraints on motion. Behaviorally, they are identical but may have different controller gains. We generalize existing results in the literature, which consider only homogenous gains, to the case where controller gains are heterogenous. We show that, by selecting suitable controller gains, collective behavior of agents can be controlled significantly to obtain not only point convergence but also directed motion. In particular, we obtain analytical results that relate the controller gains to the direction of movement of the agents when the system is unstable. Invariance results with respect to the pursuit sequence are also proved. Finally, we also obtain some results that show some aspects of system behavior that is invariant with respect to finite switching of connections. Simulation experiments are given in support of the analytical results.

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## Figures

Figure 1

The trajectories of five agents: the gains of the agents satisfy, (a) Condition (i) of Theorem 4 and (b) Condition (ii) of Theorem 4

Figure 2

The trajectories of five agents: the gains of the agents satisfy (a) Condition (iii) of Theorem 4 and (b) none of the conditions of Theorem 4

Figure 3

Simulation to demonstrate pursuit sequence invariance of the rendezvous point

Figure 4

Simulation to demonstrate pursuit sequence invariance of the asymptote point

Figure 5

Simulation to demonstrate finite pursuit sequence switching invariance of (a) the rendezvous point (b) the asymptote point

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