Bearing-Based Containment Control of Multi-agent Systems with Disturbances

In this paper, a bearing-based containment control problem of multi-agent systems with disturbances is studied. The nonlinearity of the bearing results in the existence of nonlinear time-varying parameters in the closed-loop system. When the leaders are stationary, under the sufficient conditions on the disturbances and the connectivity of the directed sensing graph, the boundedness of the nonlinear time-varying parameters is rigorously proved, with which it is shown that the containment error converges to zero asymptotically. When the leaders are moving, by using the properties of the bearing and the projection, it is proved that the containment error is uniformly ultimately bounded and can be reduced by adjusting the edge weight. Numerical examples illustrate the effectiveness of the proposed controller.