Controllability of heterogeneous multi-agent systems under directed and weighted topology |
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Authors: | Yongqiang Guan Zhijian Ji Lin Zhang |
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Affiliation: | 1. School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China;2. College of Automation Engineering, Qingdao University, Qingdao, Shandong, China |
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Abstract: | This paper considers the controllability problem for both continuous- and discrete-time linear heterogeneous multi-agent systems with directed and weighted communication topology. First, two kinds of neighbour-based control protocols based on the distributed protocol of first-order and second-order multi-agent systems are proposed, under which it is shown that a heterogeneous multi-agent system is controllable if the underlying communication topology is controllable. Then, under special leader selection, the result shows that the controllability of a heterogeneous multi-agent system is solely decided by its communication topology graph. Furthermore, some necessary and/or sufficient conditions are derived for controllability of communication topology from algebraic and graphical perspectives. Finally, simulation examples are presented to demonstrate the effectiveness of the theoretical results. |
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Keywords: | Controllability local interaction leader–follower framework heterogeneous multi-agent systems |
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