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Coordination of motion between multiple robots requires the robots to sense their relative poses.Common sensors depend on maintaining a line-of-sight between the sensor and the object being sensed.When the robots move relative to one another,they must coordinate their motions to ensure that these lines-of-sight are preserved.We propose a control method to preserve desired lines-of-sight in a multi-robot system where each robot has configuration space S]E(3).A key feature of the control method is its ability to reject persistent bounded disturbances,enabling its use alongside additional control tasks.We demonstrate the effectiveness of the edge-preserving control in simulations involving additional input velocities that tend to break the edges.