© The Institution of Engineering and Technology
There is spatiotemporal nature for many multiagent systems such as infight hoseanddrogue aerial refuelling systems. To deal with consensus control of such cases, this study establishes a nonlinear leaderfollowing spatiotemporal multiagent system modelled by partial differential equations. Initially, a boundary controller based on boundary coupling is studied to ensure consensus of the multiagent system. A sufficient condition on the existence of the controller for consensus is presented in terms of linear matrix inequalities. To simplify the obtained result, a second boundary controller is studied and a simple sufficient condition of its existence is investigated. Finally, two numerical examples demonstrate the effectiveness of the proposed methods. The merits of the proposed controllers lie in making use of only spatial boundary communication and requiring actuators and sensors only at spatial boundary positions.
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