Coordinated attitude motion control of multiple rigid bodies on manifold SO(3)

As a special case of consensus on non-linear spaces, in this study coordinated attitude motion control for a group of rigid bodies is investigated for second-order systems on Lie group SO(3). By introducing an auxiliary variable for each rigid body, the distributed controllers are designed so that the left-invariant coordination is asymptotically achieved and total coordination is at least locally asymptotically achieved. Simulation results for a multi-agent system consist of four rigid bodies show the effectiveness of the proposed design.